Q1. Simplify: 4/8 + 9/6
Show Answer Correct Answer: A
Explanation: Use a common denominator (8×6=48), add numerators, then reduce the fraction: 96/48 simplifies to 2/1.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q2. Simplify: 8/3 + 6/5
Show Answer Correct Answer: A
Explanation: Use a common denominator (3×5=15), add numerators, then reduce the fraction: 58/15 simplifies to 58/15.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q3. Simplify: 9/10 + 3/2
Show Answer Correct Answer: A
Explanation: Use a common denominator (10×2=20), add numerators, then reduce the fraction: 48/20 simplifies to 12/5.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q4. Simplify: 4/2 + 2/9
Show Answer Correct Answer: C
Explanation: Use a common denominator (2×9=18), add numerators, then reduce the fraction: 40/18 simplifies to 20/9.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q5. Simplify: 7/3 + 4/3
Show Answer Correct Answer: C
Explanation: Use a common denominator (3×3=9), add numerators, then reduce the fraction: 33/9 simplifies to 11/3.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q6. Simplify: 5/2 + 8/10
Show Answer Correct Answer: B
Explanation: Use a common denominator (2×10=20), add numerators, then reduce the fraction: 66/20 simplifies to 33/10.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q7. Simplify: 2/2 + 8/9
Show Answer Correct Answer: A
Explanation: Use a common denominator (2×9=18), add numerators, then reduce the fraction: 34/18 simplifies to 17/9.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q8. What is 15% of 150?
Show Answer Correct Answer: B
Explanation: Convert 15% to a decimal (15/100 = 0.15), then multiply: 150×0.15 = 22.5.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q9. What is 15% of 80?
Show Answer Correct Answer: C
Explanation: Convert 15% to a decimal (15/100 = 0.15), then multiply: 80×0.15 = 12.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q10. What is 30% of 64?
Show Answer Correct Answer: D
Explanation: Convert 30% to a decimal (30/100 = 0.3), then multiply: 64×0.3 = 19.2.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q11. What is 60% of 56?
Show Answer Correct Answer: A
Explanation: Convert 60% to a decimal (60/100 = 0.6), then multiply: 56×0.6 = 33.6.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q12. What is 35% of 120?
Show Answer Correct Answer: C
Explanation: Convert 35% to a decimal (35/100 = 0.35), then multiply: 120×0.35 = 42.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q13. What is 25% of 64?
Show Answer Correct Answer: D
Explanation: Convert 25% to a decimal (25/100 = 0.25), then multiply: 64×0.25 = 16.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q14. What is 12% of 64?
Show Answer Correct Answer: D
Explanation: Convert 12% to a decimal (12/100 = 0.12), then multiply: 64×0.12 = 7.68.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q15. Convert 2/25 to a decimal.
Show Answer Correct Answer: D
Explanation: Divide numerator by denominator: 2 ÷ 25 = 0.08.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q16. Convert 2/40 to a decimal.
Show Answer Correct Answer: A
Explanation: Divide numerator by denominator: 2 ÷ 40 = 0.05.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q17. Convert 9/40 to a decimal.
Show Answer Correct Answer: A
Explanation: Divide numerator by denominator: 9 ÷ 40 = 0.225.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q18. Convert 3/20 to a decimal.
Show Answer Correct Answer: D
Explanation: Divide numerator by denominator: 3 ÷ 20 = 0.15.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q19. Convert 6/16 to a decimal.
Show Answer Correct Answer: A
Explanation: Divide numerator by denominator: 6 ÷ 16 = 0.375.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q20. Convert 5/16 to a decimal.
Show Answer Correct Answer: A
Explanation: Divide numerator by denominator: 5 ÷ 16 = 0.312.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q21. Simplify the ratio 12:14.
Show Answer Correct Answer: C
Explanation: Divide both parts by the greatest common factor, GCF(12,14)=2: 12÷2:14÷2 = 6:7.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q22. Simplify the ratio 7:17.
Show Answer Correct Answer: A
Explanation: Divide both parts by the greatest common factor, GCF(7,17)=1: 7÷1:17÷1 = 7:17.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q23. Simplify the ratio 25:10.
Show Answer Correct Answer: D
Explanation: Divide both parts by the greatest common factor, GCF(25,10)=5: 25÷5:10÷5 = 5:2.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q24. Simplify the ratio 24:9.
Show Answer Correct Answer: D
Explanation: Divide both parts by the greatest common factor, GCF(24,9)=3: 24÷3:9÷3 = 8:3.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q25. Simplify the ratio 22:10.
Show Answer Correct Answer: B
Explanation: Divide both parts by the greatest common factor, GCF(22,10)=2: 22÷2:10÷2 = 11:5.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q26. Simplify the ratio 9:9.
Show Answer Correct Answer: A
Explanation: Divide both parts by the greatest common factor, GCF(9,9)=9: 9÷9:9÷9 = 1:1.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q27. Simplify the ratio 9:21.
Show Answer Correct Answer: D
Explanation: Divide both parts by the greatest common factor, GCF(9,21)=3: 9÷3:21÷3 = 3:7.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q28. Simplify the ratio 13:23.
Show Answer Correct Answer: B
Explanation: Divide both parts by the greatest common factor, GCF(13,23)=1: 13÷1:23÷1 = 13:23.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q29. Solve for x: 4/8 = x/40
Show Answer Correct Answer: A
Explanation: Cross-multiply: 4×40 = 8×x ⇒ x = (4×40)/8 = 20.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q30. Solve for x: 2/6 = x/36
Show Answer Correct Answer: A
Explanation: Cross-multiply: 2×36 = 6×x ⇒ x = (2×36)/6 = 12.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q31. Solve for x: 9/12 = x/72
Show Answer Correct Answer: C
Explanation: Cross-multiply: 9×72 = 12×x ⇒ x = (9×72)/12 = 54.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q32. Solve for x: 6/8 = x/16
Show Answer Correct Answer: B
Explanation: Cross-multiply: 6×16 = 8×x ⇒ x = (6×16)/8 = 12.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q33. Solve for x: 5/5 = x/20
Show Answer Correct Answer: A
Explanation: Cross-multiply: 5×20 = 5×x ⇒ x = (5×20)/5 = 20.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q34. Solve for x: 4/8 = x/16
Show Answer Correct Answer: B
Explanation: Cross-multiply: 4×16 = 8×x ⇒ x = (4×16)/8 = 8.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q35. Solve for x: 8x + 10 = 82
Show Answer Correct Answer: B
Explanation: Isolate x: subtract 10 from both sides to get 8x = 72, then divide by 8: x = 9.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q36. Solve for x: 8x + 12 = -20
Show Answer Correct Answer: A
Explanation: Isolate x: subtract 12 from both sides to get 8x = -32, then divide by 8: x = -4.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q37. Solve for x: 9x + 2 = -25
Show Answer Correct Answer: C
Explanation: Isolate x: subtract 2 from both sides to get 9x = -27, then divide by 9: x = -3.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q38. Solve for x: 5x + 5 = 20
Show Answer Correct Answer: D
Explanation: Isolate x: subtract 5 from both sides to get 5x = 15, then divide by 5: x = 3.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q39. Solve for x: 7x + 12 = 12
Show Answer Correct Answer: A
Explanation: Isolate x: subtract 12 from both sides to get 7x = 0, then divide by 7: x = 0.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q40. Solve for x: 8x + 4 = -20
Show Answer Correct Answer: B
Explanation: Isolate x: subtract 4 from both sides to get 8x = -24, then divide by 8: x = -3.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q41. Convert 15 feet to yards.
Show Answer Correct Answer: D
Explanation: There are 3 feet in 1 yard, so divide by 3: 15 ÷ 3 = 5 yards.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q42. Convert 54 inches to feet.
Show Answer Correct Answer: A
Explanation: There are 12 inches in 1 foot, so divide by 12: 54 ÷ 12 = 4.5 feet.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q43. Convert 5 yards to feet.
Show Answer Correct Answer: D
Explanation: There are 3 feet in 1 yard, so 5×3 = 15 feet.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q44. Convert 5 feet to inches.
Show Answer Correct Answer: C
Explanation: There are 12 inches per foot, so multiply: 5×12 = 60 inches.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q45. Convert 12 feet to yards.
Show Answer Correct Answer: D
Explanation: There are 3 feet in 1 yard, so divide by 3: 12 ÷ 3 = 4 yards.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q46. Convert 12 feet to yards.
Show Answer Correct Answer: D
Explanation: There are 3 feet in 1 yard, so divide by 3: 12 ÷ 3 = 4 yards.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q47. Convert 3 feet to inches.
Show Answer Correct Answer: D
Explanation: There are 12 inches per foot, so multiply: 3×12 = 36 inches.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q48. Convert 1500 milliliters (mL) to liters (L).
Show Answer Correct Answer: A
Explanation: 1 L = 1000 mL, so divide by 1000: 1500 ÷ 1000 = 1.5 L.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q49. Convert 1500 milliliters (mL) to liters (L).
Show Answer Correct Answer: C
Explanation: 1 L = 1000 mL, so divide by 1000: 1500 ÷ 1000 = 1.5 L.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q50. Convert 750 milliliters (mL) to liters (L).
Show Answer Correct Answer: B
Explanation: 1 L = 1000 mL, so divide by 1000: 750 ÷ 1000 = 0.75 L.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q51. Convert 1500 milliliters (mL) to liters (L).
Show Answer Correct Answer: A
Explanation: 1 L = 1000 mL, so divide by 1000: 1500 ÷ 1000 = 1.5 L.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q52. Convert 500 milliliters (mL) to liters (L).
Show Answer Correct Answer: C
Explanation: 1 L = 1000 mL, so divide by 1000: 500 ÷ 1000 = 0.5 L.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q53. Convert 250 milliliters (mL) to liters (L).
Show Answer Correct Answer: D
Explanation: 1 L = 1000 mL, so divide by 1000: 250 ÷ 1000 = 0.25 L.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q54. Convert 750 milliliters (mL) to liters (L).
Show Answer Correct Answer: C
Explanation: 1 L = 1000 mL, so divide by 1000: 750 ÷ 1000 = 0.75 L.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q55. What is the perimeter of a rectangle with length 13 cm and width 11 cm?
Show Answer Correct Answer: A
Explanation: Perimeter = 2(L+W) = 2(13+11) = 48 cm.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q56. What is the perimeter of a rectangle with length 8 cm and width 11 cm?
Show Answer Correct Answer: D
Explanation: Perimeter = 2(L+W) = 2(8+11) = 38 cm.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q57. What is the area of a rectangle that is 8 ft by 6 ft?
Show Answer Correct Answer: B
Explanation: Area of a rectangle = L×W = 8×6 = 48 square feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q58. What is the perimeter of a rectangle with length 7 cm and width 6 cm?
Show Answer Correct Answer: B
Explanation: Perimeter = 2(L+W) = 2(7+6) = 26 cm.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q59. What is the area of a rectangle that is 7 ft by 13 ft?
Show Answer Correct Answer: C
Explanation: Area of a rectangle = L×W = 7×13 = 91 square feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q60. What is the perimeter of a rectangle with length 18 cm and width 7 cm?
Show Answer Correct Answer: A
Explanation: Perimeter = 2(L+W) = 2(18+7) = 50 cm.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q61. Evaluate: 3 + 3 × (3 + 7)
Show Answer Correct Answer: A
Explanation: Parentheses first: (3+7)=10. Then multiply: 3×10=30. Then add 3: 3+30=33.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q62. Evaluate: 8 + 9 × (7 + 5)
Show Answer Correct Answer: C
Explanation: Parentheses first: (7+5)=12. Then multiply: 9×12=108. Then add 8: 8+108=116.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q63. Evaluate: 5 + 8 × (9 + 7)
Show Answer Correct Answer: D
Explanation: Parentheses first: (9+7)=16. Then multiply: 8×16=128. Then add 5: 5+128=133.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q64. Evaluate: 7 + 4 × (3 + 5)
Show Answer Correct Answer: B
Explanation: Parentheses first: (3+5)=8. Then multiply: 4×8=32. Then add 7: 7+32=39.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q65. Evaluate: 6 + 9 × (3 + 3)
Show Answer Correct Answer: D
Explanation: Parentheses first: (3+3)=6. Then multiply: 9×6=54. Then add 6: 6+54=60.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q66. Evaluate: 8 + 7 × (4 + 4)
Show Answer Correct Answer: A
Explanation: Parentheses first: (4+4)=8. Then multiply: 7×8=56. Then add 8: 8+56=64.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q67. Compute: 6^2
Show Answer Correct Answer: C
Explanation: 6^2 means multiply 6 by itself 2 times: result = 36.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q68. Compute: 4^3
Show Answer Correct Answer: A
Explanation: 4^3 means multiply 4 by itself 3 times: result = 64.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q69. Compute: 4^3
Show Answer Correct Answer: D
Explanation: 4^3 means multiply 4 by itself 3 times: result = 64.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q70. Compute: 4^4
Show Answer Correct Answer: B
Explanation: 4^4 means multiply 4 by itself 4 times: result = 256.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q71. Compute: 5^3
Show Answer Correct Answer: C
Explanation: 5^3 means multiply 5 by itself 3 times: result = 125.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q72. Compute: 4^4
Show Answer Correct Answer: A
Explanation: 4^4 means multiply 4 by itself 4 times: result = 256.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q73. Solve for x: 8x + 7 < -14
Show Answer Correct Answer: C
Explanation: Subtract 7 from both sides to get 8x < -21. Divide by 8 (positive), so the inequality stays the same: x < -2.625.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q74. Solve for x: 5x – 1 < 42
Show Answer Correct Answer: B
Explanation: Subtract -1 from both sides to get 5x < 43. Divide by 5 (positive), so the inequality stays the same: x < 8.6.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q75. Solve for x: 2x + 9 < 9
Show Answer Correct Answer: B
Explanation: Subtract 9 from both sides to get 2x < 0. Divide by 2 (positive), so the inequality stays the same: x < 0.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q76. Solve for x: 6x – 5 < 16
Show Answer Correct Answer: B
Explanation: Subtract -5 from both sides to get 6x < 21. Divide by 6 (positive), so the inequality stays the same: x < 3.5.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q77. What is the slope of the line through the points (1, 1) and (-1, 0)?
Show Answer Correct Answer: D
Explanation: Slope m = (y2−y1)/(x2−x1) = (0−1)/(-1−1) = -1/-2 = 1/2.
Citation: OpenStax College Algebra 2e (rates of change/slope) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q78. What is the slope of the line through the points (-3, 3) and (4, 3)?
Show Answer Correct Answer: A
Explanation: Slope m = (y2−y1)/(x2−x1) = (3−3)/(4−-3) = 0/7 = 0.
Citation: OpenStax College Algebra 2e (rates of change/slope) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q79. What is the slope of the line through the points (3, 0) and (1, -3)?
Show Answer Correct Answer: B
Explanation: Slope m = (y2−y1)/(x2−x1) = (-3−0)/(1−3) = -3/-2 = 3/2.
Citation: OpenStax College Algebra 2e (rates of change/slope) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q80. What is the slope of the line through the points (1, 5) and (3, 6)?
Show Answer Correct Answer: B
Explanation: Slope m = (y2−y1)/(x2−x1) = (6−5)/(3−1) = 1/2 = 1/2.
Citation: OpenStax College Algebra 2e (rates of change/slope) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q81. For the data set 3, 4, 4, 10, 13, what is the mean?
Show Answer Correct Answer: B
Explanation: Mean = (sum of values)/(number of values) = 34/5 = 6.8.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q82. For the data set 7, 11, 12, 13, 16, what is the mean?
Show Answer Correct Answer: C
Explanation: Mean = (sum of values)/(number of values) = 59/5 = 11.8.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q83. For the data set 2, 15, 18, 19, 19, what is the range?
Show Answer Correct Answer: C
Explanation: Range = max − min = 19 − 2 = 17.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q84. For the data set 3, 6, 9, 9, 10, what is the range?
Show Answer Correct Answer: A
Explanation: Range = max − min = 10 − 3 = 7.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q85. For the data set 2, 2, 8, 9, 14, what is the median?
Show Answer Correct Answer: A
Explanation: With 5 ordered values, the median is the middle (3rd) value: 8.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q86. For the data set 8, 10, 13, 17, 19, what is the range?
Show Answer Correct Answer: A
Explanation: Range = max − min = 19 − 8 = 11.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q87. For the data set 2, 4, 8, 9, 17, what is the mean?
Show Answer Correct Answer: A
Explanation: Mean = (sum of values)/(number of values) = 40/5 = 8.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q88. For the data set 8, 10, 14, 15, 16, what is the median?
Show Answer Correct Answer: A
Explanation: With 5 ordered values, the median is the middle (3rd) value: 14.
Citation: OpenStax Introductory Statistics 2e (mean/median/IQR) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q89. A bag has 6 red, 2 blue, and 3 green marbles. What is the probability of randomly drawing a blue marble?
Show Answer Correct Answer: C
Explanation: Probability = favorable/total = 2/11, which simplifies to 2/11.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q90. A bag has 6 red, 6 blue, and 2 green marbles. What is the probability of randomly drawing a blue marble?
Show Answer Correct Answer: B
Explanation: Probability = favorable/total = 6/14, which simplifies to 3/7.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q91. A bag has 6 red, 2 blue, and 3 green marbles. What is the probability of randomly drawing a blue marble?
Show Answer Correct Answer: B
Explanation: Probability = favorable/total = 2/11, which simplifies to 2/11.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q92. A bag has 4 red, 2 blue, and 4 green marbles. What is the probability of randomly drawing a blue marble?
Show Answer Correct Answer: C
Explanation: Probability = favorable/total = 2/10, which simplifies to 1/5.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q93. A bag has 4 red, 2 blue, and 3 green marbles. What is the probability of randomly drawing a blue marble?
Show Answer Correct Answer: C
Explanation: Probability = favorable/total = 2/9, which simplifies to 2/9.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q94. A bag has 3 red, 5 blue, and 2 green marbles. What is the probability of randomly drawing a blue marble?
Show Answer Correct Answer: A
Explanation: Probability = favorable/total = 5/10, which simplifies to 1/2.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q95. A car travels 210 miles in 3 hours. What is the average speed in miles per hour (mph)?
Show Answer Correct Answer: A
Explanation: Average speed = distance ÷ time = 210 ÷ 3 = 70 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q96. A car travels 210 miles in 2 hours. What is the average speed in miles per hour (mph)?
Show Answer Correct Answer: B
Explanation: Average speed = distance ÷ time = 210 ÷ 2 = 105 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q97. A car travels 120 miles in 3 hours. What is the average speed in miles per hour (mph)?
Show Answer Correct Answer: D
Explanation: Average speed = distance ÷ time = 120 ÷ 3 = 40 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q98. A car travels 210 miles in 5 hours. What is the average speed in miles per hour (mph)?
Show Answer Correct Answer: A
Explanation: Average speed = distance ÷ time = 210 ÷ 5 = 42 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q99. A car travels 180 miles in 3 hours. What is the average speed in miles per hour (mph)?
Show Answer Correct Answer: D
Explanation: Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q100. A car travels 180 miles in 4 hours. What is the average speed in miles per hour (mph)?
Show Answer Correct Answer: D
Explanation: Average speed = distance ÷ time = 180 ÷ 4 = 45 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q101. A jacket costs $79.99. It is discounted 25%, then sales tax of 6.0% is applied to the discounted price. What is the final price? (Round to the nearest cent.)
Show Answer Correct Answer: B
Explanation: Apply the discount first: 79.99×(1−25/100) = 59.99. Then apply tax: 59.99×(1+6.0/100) = 63.59.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q102. Find 11/20 of 180, then add 4/9 of 180.
Show Answer Correct Answer: C
Explanation: Compute each part, then combine: 11/20 of 180 = 99. 4/9 of 180 = 80. Then add: 179.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q103. A value changes from 120 to 90. What is the percent change? (State increase or decrease.)
Show Answer Correct Answer: B
Explanation: Percent change = (new−old)/old × 100%. Here: (90−120)/120×100% = 25%, a decrease.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q104. Find 11/20 of 144, then add 3/7 of 144.
Show Answer Correct Answer: A
Explanation: Compute each part, then combine: 11/20 of 144 = 79.2. 3/7 of 144 = 61.714. Then add: 140.914.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q105. A value changes from 48 to 180. What is the percent change? (State increase or decrease.)
Show Answer Correct Answer: C
Explanation: Percent change = (new−old)/old × 100%. Here: (180−48)/48×100% = 275%, a increase.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q106. A jacket costs $125.00. It is discounted 20%, then sales tax of 8.25% is applied to the discounted price. What is the final price? (Round to the nearest cent.)
Show Answer Correct Answer: A
Explanation: Apply the discount first: 125.00×(1−20/100) = 100.00. Then apply tax: 100.00×(1+8.25/100) = 108.25.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q107. You need 10 L of a 15% saline solution by mixing 8% solution with 20% solution. How many liters of the 8% solution are needed?
Show Answer Correct Answer: C
Explanation: Let a be liters of 8%; then 10−a is liters of 20%. Set solute amounts equal: a·8 + (10−a)·20 = 10·15. Solving gives a = 4.167 L.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q108. Find 5/12 of 200, then subtract 3/7 of 200.
Show Answer Correct Answer: B
Explanation: Compute each part, then combine: 5/12 of 200 = 83.333. 3/7 of 200 = 85.714. Then subtract: -2.381.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q109. Find 5/12 of 96, then add 3/7 of 96.
Show Answer Correct Answer: A
Explanation: Compute each part, then combine: 5/12 of 96 = 40. 3/7 of 96 = 41.143. Then add: 81.143.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q110. A jacket costs $125.00. It is discounted 15%, then sales tax of 7.5% is applied to the discounted price. What is the final price? (Round to the nearest cent.)
Show Answer Correct Answer: B
Explanation: Apply the discount first: 125.00×(1−15/100) = 106.25. Then apply tax: 106.25×(1+7.5/100) = 114.22.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q111. A value changes from 75 to 54. What is the percent change? (State increase or decrease.)
Show Answer Correct Answer: A
Explanation: Percent change = (new−old)/old × 100%. Here: (54−75)/75×100% = 28%, a decrease.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q112. You need 20 L of a 18% saline solution by mixing 10% solution with 25% solution. How many liters of the 10% solution are needed?
Show Answer Correct Answer: A
Explanation: Let a be liters of 10%; then 20−a is liters of 25%. Set solute amounts equal: a·10 + (20−a)·25 = 20·18. Solving gives a = 9.333 L.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q113. You need 20 L of a 12% saline solution by mixing 10% solution with 35% solution. How many liters of the 10% solution are needed?
Show Answer Correct Answer: A
Explanation: Let a be liters of 10%; then 20−a is liters of 35%. Set solute amounts equal: a·10 + (20−a)·35 = 20·12. Solving gives a = 18.4 L.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q114. Find 11/20 of 180, then subtract 4/9 of 180.
Show Answer Correct Answer: D
Explanation: Compute each part, then combine: 11/20 of 180 = 99. 4/9 of 180 = 80. Then subtract: 19.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q115. A jacket costs $39.50. It is discounted 25%, then sales tax of 9.0% is applied to the discounted price. What is the final price? (Round to the nearest cent.)
Show Answer Correct Answer: D
Explanation: Apply the discount first: 39.50×(1−25/100) = 29.62. Then apply tax: 29.62×(1+9.0/100) = 32.29.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q116. A value changes from 150 to 180. What is the percent change? (State increase or decrease.)
Show Answer Correct Answer: C
Explanation: Percent change = (new−old)/old × 100%. Here: (180−150)/150×100% = 20%, a increase.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q117. You need 12 L of a 18% saline solution by mixing 5% solution with 35% solution. How many liters of the 5% solution are needed?
Show Answer Correct Answer: A
Explanation: Let a be liters of 5%; then 12−a is liters of 35%. Set solute amounts equal: a·5 + (12−a)·35 = 12·18. Solving gives a = 6.8 L.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q118. You need 10 L of a 15% saline solution by mixing 5% solution with 20% solution. How many liters of the 5% solution are needed?
Show Answer Correct Answer: A
Explanation: Let a be liters of 5%; then 10−a is liters of 20%. Set solute amounts equal: a·5 + (10−a)·20 = 10·15. Solving gives a = 3.333 L.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q119. A jacket costs $58.75. It is discounted 25%, then sales tax of 8.25% is applied to the discounted price. What is the final price? (Round to the nearest cent.)
Show Answer Correct Answer: D
Explanation: Apply the discount first: 58.75×(1−25/100) = 44.06. Then apply tax: 44.06×(1+8.25/100) = 47.70.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q120. You need 20 L of a 12% saline solution by mixing 5% solution with 30% solution. How many liters of the 5% solution are needed?
Show Answer Correct Answer: C
Explanation: Let a be liters of 5%; then 20−a is liters of 30%. Set solute amounts equal: a·5 + (20−a)·30 = 20·12. Solving gives a = 14.4 L.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q121. Solve the system: 1x + 6y = 26 and 3x + 4y = 36. What is x?
Show Answer Correct Answer: A
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (8, 3), so x = 8.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q122. Solve the system: 4x + 1y = 4 and 5x + 3y = -2. What is x?
Show Answer Correct Answer: B
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (2, -4), so x = 2.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q123. Solve the system: 4x + 6y = 28 and 3x + 4y = 21. What is x?
Show Answer Correct Answer: A
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (7, 0), so x = 7.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q124. Evaluate when x = -3: |5x – 3|
Show Answer Correct Answer: B
Explanation: Compute inside first: 5(-3) – 3 = -18. Then take absolute value: |-18| = 18.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q125. Solve the system: 3x + 2y = 0 and 5x + 5y = 0. What is x?
Show Answer Correct Answer: A
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (0, 0), so x = 0.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q126. Solve the system: 4x + 2y = 40 and 5x + 2y = 46. What is x?
Show Answer Correct Answer: A
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (6, 8), so x = 6.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q127. Solve the system: 3x + 6y = 0 and 4x + 1y = 21. What is x?
Show Answer Correct Answer: D
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (6, -3), so x = 6.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q128. Evaluate when x = -2: 4x^2 + 8x + 10
Show Answer Correct Answer: A
Explanation: Substitute x = -2 and follow order of operations: compute x^2, multiply by 4, then add the linear and constant terms to get 10.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q129. Evaluate when x = 5: |8x + 3|
Show Answer Correct Answer: B
Explanation: Compute inside first: 8(5) + 3 = 43. Then take absolute value: |43| = 43.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q130. Evaluate when x = 2: 4x^2 – 6x + 2
Show Answer Correct Answer: D
Explanation: Substitute x = 2 and follow order of operations: compute x^2, multiply by 4, then add the linear and constant terms to get 6.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q131. Solve the system: 1x + 3y = -3 and 1x + 2y = -3. What is x?
Show Answer Correct Answer: B
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (-3, 0), so x = -3.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q132. Simplify: 4(7x + 5)
Show Answer Correct Answer: A
Explanation: Distribute 4 to each term: 4·7x = 28x and 4·(5) = 20. So the simplified expression is 28x + 20.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q133. A runner covers 30 miles in 2.5 hours. What is the unit rate in miles per hour (mph)?
Show Answer Correct Answer: D
Explanation: Unit rate (mph) = distance ÷ time = 30 ÷ 2.5 = 12 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q134. A runner covers 42 miles in 3.75 hours. What is the unit rate in miles per hour (mph)?
Show Answer Correct Answer: D
Explanation: Unit rate (mph) = distance ÷ time = 42 ÷ 3.75 = 11.2 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q135. Solve the system: 4x + 1y = -8 and 1x + 4y = 28. What is x?
Show Answer Correct Answer: A
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (-4, 8), so x = -4.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q136. A runner covers 55 miles in 2.25 hours. What is the unit rate in miles per hour (mph)?
Show Answer Correct Answer: A
Explanation: Unit rate (mph) = distance ÷ time = 55 ÷ 2.25 = 24.444 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q137. Solve the system: 3x + 4y = 19 and 3x + 6y = 33. What is x?
Show Answer Correct Answer: C
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (-3, 7), so x = -3.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q138. A runner covers 24 miles in 2.25 hours. What is the unit rate in miles per hour (mph)?
Show Answer Correct Answer: A
Explanation: Unit rate (mph) = distance ÷ time = 24 ÷ 2.25 = 10.667 mph.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q139. Solve the system: 4x + 1y = 0 and 4x + 3y = 16. What is x?
Show Answer Correct Answer: A
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (-2, 8), so x = -2.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q140. Solve the system: 2x + 5y = 11 and 2x + 6y = 14. What is x?
Show Answer Correct Answer: C
Explanation: Use elimination or substitution to solve the two linear equations. The solution pair is (x, y) = (-2, 3), so x = -2.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q141. A room temperature is 75°F. After a change of -12°F, what is the new temperature?
Show Answer Correct Answer: B
Explanation: Add the change to the starting temperature: 75 + (-12) = 63°F.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q142. A room temperature is 46°F. After a change of -9°F, what is the new temperature?
Show Answer Correct Answer: A
Explanation: Add the change to the starting temperature: 46 + (-9) = 37°F.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q143. Convert 1800 grams (g) to kilograms (kg).
Show Answer Correct Answer: C
Explanation: 1 kg = 1000 g, so divide by 1000: 1800 ÷ 1000 = 1.8 kg.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q144. Using π ≈ 3.14, what is the circumference of a circle with radius 4 inches?
Show Answer Correct Answer: A
Explanation: Circumference = 2πr. With r=4, C ≈ 2×3.14×4 = 25.12 inches.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q145. Using π ≈ 3.14, what is the area of a circle with radius 12 cm?
Show Answer Correct Answer: C
Explanation: Area = πr². With r=12, area ≈ 3.14×12² = 3.14×144 = 452.16 cm².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q146. Using π ≈ 3.14, what is the area of a circle with radius 6 cm?
Show Answer Correct Answer: A
Explanation: Area = πr². With r=6, area ≈ 3.14×6² = 3.14×36 = 113.04 cm².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q147. What is the surface area of a rectangular prism with length 3 m, width 2 m, and height 2 m?
Show Answer Correct Answer: D
Explanation: Surface area = 2(lw + lh + wh) = 2(6 + 6 + 4) = 2(16) = 32 m².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q148. Convert 720 grams (g) to kilograms (kg).
Show Answer Correct Answer: B
Explanation: 1 kg = 1000 g, so divide by 1000: 720 ÷ 1000 = 0.72 kg.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q149. What is the surface area of a rectangular prism with length 9 m, width 5 m, and height 4 m?
Show Answer Correct Answer: D
Explanation: Surface area = 2(lw + lh + wh) = 2(45 + 36 + 20) = 2(101) = 202 m².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q150. What is the surface area of a rectangular prism with length 10 m, width 8 m, and height 2 m?
Show Answer Correct Answer: B
Explanation: Surface area = 2(lw + lh + wh) = 2(80 + 20 + 16) = 2(116) = 232 m².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q151. What is the surface area of a rectangular prism with length 5 m, width 7 m, and height 3 m?
Show Answer Correct Answer: B
Explanation: Surface area = 2(lw + lh + wh) = 2(35 + 15 + 21) = 2(71) = 142 m².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q152. Using π ≈ 3.14, what is the circumference of a circle with radius 7 inches?
Show Answer Correct Answer: A
Explanation: Circumference = 2πr. With r=7, C ≈ 2×3.14×7 = 43.96 inches.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q153. Using π ≈ 3.14, what is the area of a circle with radius 12 cm?
Show Answer Correct Answer: A
Explanation: Area = πr². With r=12, area ≈ 3.14×12² = 3.14×144 = 452.16 cm².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q154. What is the surface area of a rectangular prism with length 5 m, width 5 m, and height 3 m?
Show Answer Correct Answer: B
Explanation: Surface area = 2(lw + lh + wh) = 2(25 + 15 + 15) = 2(55) = 110 m².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q155. Convert 1250 grams (g) to kilograms (kg).
Show Answer Correct Answer: C
Explanation: 1 kg = 1000 g, so divide by 1000: 1250 ÷ 1000 = 1.25 kg.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q156. Using π ≈ 3.14, what is the area of a circle with radius 7 cm?
Show Answer Correct Answer: D
Explanation: Area = πr². With r=7, area ≈ 3.14×7² = 3.14×49 = 153.86 cm².
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q157. Convert 1250 grams (g) to kilograms (kg).
Show Answer Correct Answer: B
Explanation: 1 kg = 1000 g, so divide by 1000: 1250 ÷ 1000 = 1.25 kg.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q158. A room temperature is 65°F. After a change of 11°F, what is the new temperature?
Show Answer Correct Answer: C
Explanation: Add the change to the starting temperature: 65 + (11) = 76°F.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q159. A room temperature is 65°F. After a change of 11°F, what is the new temperature?
Show Answer Correct Answer: B
Explanation: Add the change to the starting temperature: 65 + (11) = 76°F.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q160. Convert 1250 grams (g) to kilograms (kg).
Show Answer Correct Answer: B
Explanation: 1 kg = 1000 g, so divide by 1000: 1250 ÷ 1000 = 1.25 kg.
Citation: NIST SP 811 (SI/metric unit relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q161. Write 1.25 × 10^-4 in standard decimal form.
Show Answer Correct Answer: B
Explanation: Multiplying by 10^-4 shifts the decimal 4 places left: 1.25×10^-4 = 0.000125.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q162. If f(x) = 5x – 4, what is f(7)?
Show Answer Correct Answer: D
Explanation: Substitute x=7: f(7) = 5(7) – 4 = 31.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q163. Solve for x: -1 < 2x - 5 ≤ 5
Show Answer Correct Answer: D
Explanation: Subtract -5 from all three parts, then divide by 2 (positive). This gives 2 < x ≤ 5.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q164. Write 1.25 × 10^-4 in standard decimal form.
Show Answer Correct Answer: C
Explanation: Multiplying by 10^-4 shifts the decimal 4 places left: 1.25×10^-4 = 0.000125.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q165. Solve for x: 11 < 5x + 6 ≤ 21
Show Answer Correct Answer: B
Explanation: Subtract 6 from all three parts, then divide by 5 (positive). This gives 1 < x ≤ 3.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q166. Simplify: 7^4 ÷ 7^5
Show Answer Correct Answer: B
Explanation: For the same base, division subtracts exponents: a^m ÷ a^n = a^(m−n). Here: 7^4 ÷ 7^5 = 7^-1.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q167. If f(x) = -3x + 1, what is f(7)?
Show Answer Correct Answer: A
Explanation: Substitute x=7: f(7) = -3(7) + 1 = -20.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q168. Simplify: 2^2 ÷ 2^5
Show Answer Correct Answer: B
Explanation: For the same base, division subtracts exponents: a^m ÷ a^n = a^(m−n). Here: 2^2 ÷ 2^5 = 2^-3.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q169. If f(x) = -5x – 3, what is f(-2)?
Show Answer Correct Answer: B
Explanation: Substitute x=-2: f(-2) = -5(-2) – 3 = 7.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q170. Write 9.08 × 10^5 in standard decimal form.
Show Answer Correct Answer: A
Explanation: Multiplying by 10^5 shifts the decimal 5 places right: 9.08×10^5 = 908000.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q171. Simplify: 3^3 ÷ 3^3
Show Answer Correct Answer: B
Explanation: For the same base, division subtracts exponents: a^m ÷ a^n = a^(m−n). Here: 3^3 ÷ 3^3 = 1.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q172. Write 1.25 × 10^4 in standard decimal form.
Show Answer Correct Answer: A
Explanation: Multiplying by 10^4 shifts the decimal 4 places right: 1.25×10^4 = 12500.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q173. Solve for x: 15 < 6x + 3 ≤ 45
Show Answer Correct Answer: D
Explanation: Subtract 3 from all three parts, then divide by 6 (positive). This gives 2 < x ≤ 7.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q174. Solve for x: 13 < 2x + 1 ≤ 21
Show Answer Correct Answer: C
Explanation: Subtract 1 from all three parts, then divide by 2 (positive). This gives 6 < x ≤ 10.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q175. If f(x) = -4x – 6, what is f(7)?
Show Answer Correct Answer: A
Explanation: Substitute x=7: f(7) = -4(7) – 6 = -34.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q176. Simplify: 9^5 ÷ 9^2
Show Answer Correct Answer: A
Explanation: For the same base, division subtracts exponents: a^m ÷ a^n = a^(m−n). Here: 9^5 ÷ 9^2 = 9^3.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q177. Write 9.08 × 10^6 in standard decimal form.
Show Answer Correct Answer: A
Explanation: Multiplying by 10^6 shifts the decimal 6 places right: 9.08×10^6 = 9080000.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q178. Solve for x: 23 < 3x + 5 ≤ 32
Show Answer Correct Answer: D
Explanation: Subtract 5 from all three parts, then divide by 3 (positive). This gives 6 < x ≤ 9.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q179. Write 1.25 × 10^-4 in standard decimal form.
Show Answer Correct Answer: B
Explanation: Multiplying by 10^-4 shifts the decimal 4 places left: 1.25×10^-4 = 0.000125.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q180. Simplify: 5^3 ÷ 5^2
Show Answer Correct Answer: D
Explanation: For the same base, division subtracts exponents: a^m ÷ a^n = a^(m−n). Here: 5^3 ÷ 5^2 = 5.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q181. For the data set 8, 11, 12, 24, 26, 33, 36, 39, what is the interquartile range (IQR)?
Show Answer Correct Answer: B
Explanation: With 8 values, Q1 is the median of the lower 4 and Q3 is the median of the upper 4. Here Q1=11.5, Q3=34.5, so IQR = Q3−Q1 = 23.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q182. A bag contains 4 red and 3 blue chips. Two chips are drawn without replacement. What is the probability both chips are red?
Show Answer Correct Answer: C
Explanation: Without replacement: P(red then red) = 4/7 × 3/6 = 12/42, which simplifies to 2/7.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q183. For the data set 5, 7, 15, 19, 25, 26, 33, 34, what is the interquartile range (IQR)?
Show Answer Correct Answer: D
Explanation: With 8 values, Q1 is the median of the lower 4 and Q3 is the median of the upper 4. Here Q1=11, Q3=29.5, so IQR = Q3−Q1 = 18.5.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q184. A course grade is weighted: exams 50%, quizzes 30%, homework 20%. A student has exam 77, quiz 61, homework 98. What is the weighted average?
Show Answer Correct Answer: A
Explanation: Multiply each score by its weight and add: 77·0.5 + 61·0.3 + 98·0.2 = 76.4.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q185. A bag contains 3 red and 5 blue chips. Two chips are drawn without replacement. What is the probability both chips are red?
Show Answer Correct Answer: A
Explanation: Without replacement: P(red then red) = 3/8 × 2/7 = 6/56, which simplifies to 3/28.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q186. A course grade is weighted: exams 40%, quizzes 40%, homework 20%. A student has exam 80, quiz 60, homework 90. What is the weighted average?
Show Answer Correct Answer: C
Explanation: Multiply each score by its weight and add: 80·0.4 + 60·0.4 + 90·0.2 = 74.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q187. A bag contains 6 red and 7 blue chips. Two chips are drawn without replacement. What is the probability both chips are red?
Show Answer Correct Answer: D
Explanation: Without replacement: P(red then red) = 6/13 × 5/12 = 30/156, which simplifies to 5/26.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q188. A course grade is weighted: exams 40%, quizzes 40%, homework 20%. A student has exam 72, quiz 80, homework 75. What is the weighted average?
Show Answer Correct Answer: A
Explanation: Multiply each score by its weight and add: 72·0.4 + 80·0.4 + 75·0.2 = 75.8.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q189. For the ordered data set 12, 17, 19, 34, 46, 56, what is the median?
Show Answer Correct Answer: C
Explanation: With 6 values, the median is the average of the 3rd and 4th values: (19+34)/2 = 26.5.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q190. Worker A can complete a task in 6 hours and Worker B can complete it in 12 hours. About how long would it take them to complete the task working together?
Show Answer Correct Answer: A
Explanation: Combined rate = 1/6 + 1/12 tasks/hour. Time = 1 ÷ (1/6+1/12) = 4 hours.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q191. For the ordered data set 16, 31, 44, 48, 49, 54, what is the median?
Show Answer Correct Answer: B
Explanation: With 6 values, the median is the average of the 3rd and 4th values: (44+48)/2 = 46.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q192. A course grade is weighted: exams 60%, quizzes 20%, homework 20%. A student has exam 81, quiz 97, homework 92. What is the weighted average?
Show Answer Correct Answer: B
Explanation: Multiply each score by its weight and add: 81·0.6 + 97·0.2 + 92·0.2 = 86.4.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q193. For the data set 8, 14, 17, 18, 23, 36, 37, 40, what is the interquartile range (IQR)?
Show Answer Correct Answer: A
Explanation: With 8 values, Q1 is the median of the lower 4 and Q3 is the median of the upper 4. Here Q1=15.5, Q3=36.5, so IQR = Q3−Q1 = 21.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q194. A bag contains 7 red and 5 blue chips. Two chips are drawn without replacement. What is the probability both chips are red?
Show Answer Correct Answer: A
Explanation: Without replacement: P(red then red) = 7/12 × 6/11 = 42/132, which simplifies to 7/22.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q195. A bag contains 4 red and 5 blue chips. Two chips are drawn without replacement. What is the probability both chips are red?
Show Answer Correct Answer: C
Explanation: Without replacement: P(red then red) = 4/9 × 3/8 = 12/72, which simplifies to 1/6.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q196. Worker A can complete a task in 6 hours and Worker B can complete it in 15 hours. About how long would it take them to complete the task working together?
Show Answer Correct Answer: B
Explanation: Combined rate = 1/6 + 1/15 tasks/hour. Time = 1 ÷ (1/6+1/15) = 4.286 hours.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q197. A bag contains 6 red and 4 blue chips. Two chips are drawn without replacement. What is the probability both chips are red?
Show Answer Correct Answer: C
Explanation: Without replacement: P(red then red) = 6/10 × 5/9 = 30/90, which simplifies to 1/3.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q198. Worker A can complete a task in 6 hours and Worker B can complete it in 12 hours. About how long would it take them to complete the task working together?
Show Answer Correct Answer: C
Explanation: Combined rate = 1/6 + 1/12 tasks/hour. Time = 1 ÷ (1/6+1/12) = 4 hours.
Citation: OpenStax Algebra and Trigonometry 2e (linear equations, systems, exponents) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q199. For the data set 5, 8, 10, 19, 24, 26, 27, 34, what is the interquartile range (IQR)?
Show Answer Correct Answer: D
Explanation: With 8 values, Q1 is the median of the lower 4 and Q3 is the median of the upper 4. Here Q1=9, Q3=26.5, so IQR = Q3−Q1 = 17.5.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q200. For the ordered data set 18, 18, 30, 43, 56, 60, what is the median?
Show Answer Correct Answer: C
Explanation: With 6 values, the median is the average of the 3rd and 4th values: (30+43)/2 = 36.5.
Citation: OpenStax Introductory Statistics 2e (mean/median, variability, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q201. Adult tickets cost $15 and child tickets cost $12. If 2 adults and 4 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 2·15 + 4·12 = 30 + 48 = 78.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q202. Solve for x: x/5 + 1 = -0.2
Show Answer Correct Answer: D
Explanation: Isolate x/5: x/5 = -0.2 – 1 = -1.2. Multiply both sides by 5: x = 5×-1.2 = -6.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q203. A data set has 5 values with a mean of 25. If one more value of 21 is added, what is the new mean?
Show Answer Correct Answer: B
Explanation: Total sum = mean×count = 25×5 = 125. New sum = 125+21 = 146. New mean = 146 ÷ 6 = 24.3333.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q204. A map scale is 1 inch : 40 feet. If two points are 4 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: B
Explanation: Use the scale as a proportion: distance = 4×40 = 160 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q205. An item is discounted 10% and costs $108.00 after the discount. What was the original price?
Show Answer Correct Answer: D
Explanation: Sale price = original×(1−10/100). So original = 108.00 ÷ 0.9 = 120.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q206. Which value is a solution to the equation x^2 – 4x = 0?
Show Answer Correct Answer: A
Explanation: Factor the quadratic: (x−(4)) (x−(0)) = 0, so the solutions are x = 4 and x = 0. One correct solution is 4.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q207. A right triangle has legs 5 and 8. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: B
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(5²+8²) = √(25+64) = √(89) ≈ 9.4.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q208. An item is discounted 30% and costs $56.00 after the discount. What was the original price?
Show Answer Correct Answer: B
Explanation: Sale price = original×(1−30/100). So original = 56.00 ÷ 0.7 = 80.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q209. Which value is a solution to the equation x^2 – 11x + 24 = 0?
Show Answer Correct Answer: B
Explanation: Factor the quadratic: (x−(8)) (x−(3)) = 0, so the solutions are x = 8 and x = 3. One correct solution is 8.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q210. Adult tickets cost $17 and child tickets cost $7. If 6 adults and 6 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 6·17 + 6·7 = 102 + 42 = 144.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q211. An item is discounted 12% and costs $176.00 after the discount. What was the original price?
Show Answer Correct Answer: C
Explanation: Sale price = original×(1−12/100). So original = 176.00 ÷ 0.88 = 200.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q212. A map scale is 1 inch : 40 feet. If two points are 5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: B
Explanation: Use the scale as a proportion: distance = 5×40 = 200 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q213. Solve for x: x/7 + 6 = 7.7143
Show Answer Correct Answer: A
Explanation: Isolate x/7: x/7 = 7.7143 – 6 = 1.7143. Multiply both sides by 7: x = 7×1.7143 = 12.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q214. In a group of 80 students, 34 take Biology, 34 take Chemistry, and 12 take both. What fraction of students take Biology or Chemistry?
Show Answer Correct Answer: D
Explanation: Use inclusion–exclusion: |B∪C| = 34+34−12 = 56. Probability/fraction = 56/80 = 7/10.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q215. Which value is a solution to the equation x^2 – 3x – 40 = 0?
Show Answer Correct Answer: C
Explanation: Factor the quadratic: (x−(8)) (x−(-5)) = 0, so the solutions are x = 8 and x = -5. One correct solution is 8.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q216. Convert 1200 milligrams (mg) to grams (g).
Show Answer Correct Answer: B
Explanation: 1 g = 1000 mg, so divide by 1000: 1200 ÷ 1000 = 1.2 g.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q217. Which value is a solution to the equation x^2 – 2x = 0?
Show Answer Correct Answer: C
Explanation: Factor the quadratic: (x−(2)) (x−(0)) = 0, so the solutions are x = 2 and x = 0. One correct solution is 2.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q218. A map scale is 1 inch : 50 feet. If two points are 4 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: C
Explanation: Use the scale as a proportion: distance = 4×50 = 200 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q219. A map scale is 1 inch : 80 feet. If two points are 1.5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: D
Explanation: Use the scale as a proportion: distance = 1.5×80 = 120 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q220. A map scale is 1 inch : 80 feet. If two points are 2.5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: B
Explanation: Use the scale as a proportion: distance = 2.5×80 = 200 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q221. A right triangle has legs 5 and 15. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: B
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(5²+15²) = √(25+225) = √(250) ≈ 15.8.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q222. Solve for x: x/8 + 3 = 4
Show Answer Correct Answer: B
Explanation: Isolate x/8: x/8 = 4 – 3 = 1. Multiply both sides by 8: x = 8×1 = 8.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q223. Adult tickets cost $10 and child tickets cost $7. If 6 adults and 6 children buy tickets, what is the total cost?
Show Answer Correct Answer: B
Explanation: Multiply each price by its quantity and add: 6·10 + 6·7 = 60 + 42 = 102.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q224. An item is discounted 10% and costs $180.00 after the discount. What was the original price?
Show Answer Correct Answer: D
Explanation: Sale price = original×(1−10/100). So original = 180.00 ÷ 0.9 = 200.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q225. Which value is a solution to the equation x^2 – 12x + 35 = 0?
Show Answer Correct Answer: C
Explanation: Factor the quadratic: (x−(5)) (x−(7)) = 0, so the solutions are x = 5 and x = 7. One correct solution is 5.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q226. A right triangle has legs 3 and 8. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: A
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(3²+8²) = √(9+64) = √(73) ≈ 8.5.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q227. Adult tickets cost $10 and child tickets cost $9. If 4 adults and 2 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 4·10 + 2·9 = 40 + 18 = 58.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q228. Solve for x: x/6 + 0 = -0.3333
Show Answer Correct Answer: B
Explanation: Isolate x/6: x/6 = -0.3333 – 0 = -0.3333. Multiply both sides by 6: x = 6×-0.3333 = -2.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q229. Convert 250 meters (m) to kilometers (km).
Show Answer Correct Answer: A
Explanation: 1 km = 1000 m, so divide by 1000: 250 ÷ 1000 = 0.25 km.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q230. Adult tickets cost $18 and child tickets cost $7. If 6 adults and 3 children buy tickets, what is the total cost?
Show Answer Correct Answer: B
Explanation: Multiply each price by its quantity and add: 6·18 + 3·7 = 108 + 21 = 129.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q231. Solve for x: x/6 + 7 = 6.3333
Show Answer Correct Answer: C
Explanation: Isolate x/6: x/6 = 6.3333 – 7 = -0.6667. Multiply both sides by 6: x = 6×-0.6667 = -4.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q232. An item is discounted 12% and costs $88.00 after the discount. What was the original price?
Show Answer Correct Answer: B
Explanation: Sale price = original×(1−12/100). So original = 88.00 ÷ 0.88 = 100.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q233. A right triangle has legs 7 and 15. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: B
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(7²+15²) = √(49+225) = √(274) ≈ 16.6.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q234. Adult tickets cost $10 and child tickets cost $9. If 3 adults and 4 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 3·10 + 4·9 = 30 + 36 = 66.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q235. A right triangle has legs 8 and 8. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: A
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(8²+8²) = √(64+64) = √(128) ≈ 11.3.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q236. Convert 5400 meters (m) to kilometers (km).
Show Answer Correct Answer: D
Explanation: 1 km = 1000 m, so divide by 1000: 5400 ÷ 1000 = 5.4 km.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q237. An item is discounted 30% and costs $105.00 after the discount. What was the original price?
Show Answer Correct Answer: B
Explanation: Sale price = original×(1−30/100). So original = 105.00 ÷ 0.7 = 150.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q238. A data set has 5 values with a mean of 20. If one more value of 9 is added, what is the new mean?
Show Answer Correct Answer: A
Explanation: Total sum = mean×count = 20×5 = 100. New sum = 100+9 = 109. New mean = 109 ÷ 6 = 18.1667.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q239. Solve for x: x/3 – 5 = -1.3333
Show Answer Correct Answer: C
Explanation: Isolate x/3: x/3 = -1.3333 + 5 = 3.6667. Multiply both sides by 3: x = 3×3.6667 = 11.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q240. A right triangle has legs 3 and 6. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: D
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(3²+6²) = √(9+36) = √(45) ≈ 6.7.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q241. Solve for x: x/8 – 6 = -4.625
Show Answer Correct Answer: D
Explanation: Isolate x/8: x/8 = -4.625 + 6 = 1.375. Multiply both sides by 8: x = 8×1.375 = 11.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q242. An item is discounted 12% and costs $35.20 after the discount. What was the original price?
Show Answer Correct Answer: C
Explanation: Sale price = original×(1−12/100). So original = 35.20 ÷ 0.88 = 40.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q243. Convert 2.5 kilometers (km) to meters (m).
Show Answer Correct Answer: A
Explanation: 1 km = 1000 m, so multiply by 1000: 2.5×1000 = 2500 m.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q244. A data set has 5 values with a mean of 12. If one more value of 6 is added, what is the new mean?
Show Answer Correct Answer: B
Explanation: Total sum = mean×count = 12×5 = 60. New sum = 60+6 = 66. New mean = 66 ÷ 6 = 11.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q245. An item is discounted 25% and costs $150.00 after the discount. What was the original price?
Show Answer Correct Answer: C
Explanation: Sale price = original×(1−25/100). So original = 150.00 ÷ 0.75 = 200.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q246. An item is discounted 25% and costs $60.00 after the discount. What was the original price?
Show Answer Correct Answer: B
Explanation: Sale price = original×(1−25/100). So original = 60.00 ÷ 0.75 = 80.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q247. Convert 750 milligrams (mg) to grams (g).
Show Answer Correct Answer: A
Explanation: 1 g = 1000 mg, so divide by 1000: 750 ÷ 1000 = 0.75 g.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q248. Convert 12500 meters (m) to kilometers (km).
Show Answer Correct Answer: C
Explanation: 1 km = 1000 m, so divide by 1000: 12500 ÷ 1000 = 12.5 km.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q249. Solve for x: x/6 – 6 = -5.1667
Show Answer Correct Answer: A
Explanation: Isolate x/6: x/6 = -5.1667 + 6 = 0.8333. Multiply both sides by 6: x = 6×0.8333 = 5.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q250. A map scale is 1 inch : 50 feet. If two points are 1.5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: A
Explanation: Use the scale as a proportion: distance = 1.5×50 = 75 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q251. A map scale is 1 inch : 25 feet. If two points are 5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: C
Explanation: Use the scale as a proportion: distance = 5×25 = 125 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q252. In a group of 50 students, 14 take Biology, 19 take Chemistry, and 0 take both. What fraction of students take Biology or Chemistry?
Show Answer Correct Answer: A
Explanation: Use inclusion–exclusion: |B∪C| = 14+19−0 = 33. Probability/fraction = 33/50 = 33/50.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q253. Adult tickets cost $11 and child tickets cost $7. If 6 adults and 2 children buy tickets, what is the total cost?
Show Answer Correct Answer: D
Explanation: Multiply each price by its quantity and add: 6·11 + 2·7 = 66 + 14 = 80.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q254. A game pays $20 with probability 0.25 and loses $6 with probability 0.75. What is the expected value per play?
Show Answer Correct Answer: A
Explanation: Expected value = (win)(p) + (loss)(q). Here EV = 20·0.25 + (−6)·0.75 = 0.5 dollars.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q255. In a group of 50 students, 25 take Biology, 20 take Chemistry, and 0 take both. What fraction of students take Biology or Chemistry?
Show Answer Correct Answer: B
Explanation: Use inclusion–exclusion: |B∪C| = 25+20−0 = 45. Probability/fraction = 45/50 = 9/10.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q256. A right triangle has legs 7 and 4. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: C
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(7²+4²) = √(49+16) = √(65) ≈ 8.1.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q257. A right triangle has legs 3 and 9. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: A
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(3²+9²) = √(9+81) = √(90) ≈ 9.5.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q258. Adult tickets cost $17 and child tickets cost $9. If 6 adults and 6 children buy tickets, what is the total cost?
Show Answer Correct Answer: B
Explanation: Multiply each price by its quantity and add: 6·17 + 6·9 = 102 + 54 = 156.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q259. A right triangle has legs 8 and 15. What is the length of the hypotenuse?
Show Answer Correct Answer: A
Explanation: Use c = √(a²+b²) = √(8²+15²) = √(64+225) = √(289) = 17.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q260. Which value is a solution to the equation x^2 + 6x – 7 = 0?
Show Answer Correct Answer: A
Explanation: Factor the quadratic: (x−(1)) (x−(-7)) = 0, so the solutions are x = 1 and x = -7. One correct solution is 1.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q261. A map scale is 1 inch : 80 feet. If two points are 5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: A
Explanation: Use the scale as a proportion: distance = 5×80 = 400 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q262. A right triangle has legs 10 and 9. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: C
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(10²+9²) = √(100+81) = √(181) ≈ 13.5.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q263. Adult tickets cost $16 and child tickets cost $8. If 3 adults and 5 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 3·16 + 5·8 = 48 + 40 = 88.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q264. An item is discounted 30% and costs $140.00 after the discount. What was the original price?
Show Answer Correct Answer: D
Explanation: Sale price = original×(1−30/100). So original = 140.00 ÷ 0.7 = 200.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q265. A data set has 6 values with a mean of 21. If one more value of 15 is added, what is the new mean?
Show Answer Correct Answer: B
Explanation: Total sum = mean×count = 21×6 = 126. New sum = 126+15 = 141. New mean = 141 ÷ 7 = 20.1429.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q266. A map scale is 1 inch : 80 feet. If two points are 2 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: D
Explanation: Use the scale as a proportion: distance = 2×80 = 160 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q267. Convert 2.5 grams (g) to milligrams (mg).
Show Answer Correct Answer: A
Explanation: 1 g = 1000 mg, so multiply by 1000: 2.5×1000 = 2500 mg.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q268. Adult tickets cost $17 and child tickets cost $12. If 2 adults and 6 children buy tickets, what is the total cost?
Show Answer Correct Answer: B
Explanation: Multiply each price by its quantity and add: 2·17 + 6·12 = 34 + 72 = 106.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q269. For the data set 8, 8, 12, 13, 16, 18, 22, 26, 35, 41, what is the range?
Show Answer Correct Answer: C
Explanation: Range = maximum − minimum = 41 − 8 = 33.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q270. Which value is a solution to the equation x^2 + 3x = 0?
Show Answer Correct Answer: B
Explanation: Factor the quadratic: (x−(0)) (x−(-3)) = 0, so the solutions are x = 0 and x = -3. One correct solution is 0.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q271. An item is discounted 20% and costs $120.00 after the discount. What was the original price?
Show Answer Correct Answer: B
Explanation: Sale price = original×(1−20/100). So original = 120.00 ÷ 0.8 = 150.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q272. A data set has 8 values with a mean of 10. If one more value of 5 is added, what is the new mean?
Show Answer Correct Answer: A
Explanation: Total sum = mean×count = 10×8 = 80. New sum = 80+5 = 85. New mean = 85 ÷ 9 = 9.4444.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q273. Adult tickets cost $14 and child tickets cost $7. If 3 adults and 2 children buy tickets, what is the total cost?
Show Answer Correct Answer: D
Explanation: Multiply each price by its quantity and add: 3·14 + 2·7 = 42 + 14 = 56.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q274. Adult tickets cost $10 and child tickets cost $11. If 5 adults and 5 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 5·10 + 5·11 = 50 + 55 = 105.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q275. A right triangle has legs 10 and 15. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: D
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(10²+15²) = √(100+225) = √(325) ≈ 18.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q276. A right triangle has legs 5 and 6. What is the length of the hypotenuse? (Round to the nearest tenth.)
Show Answer Correct Answer: A
Explanation: Use the Pythagorean theorem: c = √(a²+b²) = √(5²+6²) = √(25+36) = √(61) ≈ 7.8.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q277. A map scale is 1 inch : 100 feet. If two points are 2.5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: D
Explanation: Use the scale as a proportion: distance = 2.5×100 = 250 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q278. For the data set 5, 7, 11, 11, 17, 17, 25, 29, 36, 38, what is the range?
Show Answer Correct Answer: D
Explanation: Range = maximum − minimum = 38 − 5 = 33.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q279. A game pays $20 with probability 0.5 and loses $3 with probability 0.5. What is the expected value per play?
Show Answer Correct Answer: A
Explanation: Expected value = (win)(p) + (loss)(q). Here EV = 20·0.5 + (−3)·0.5 = 8.5 dollars.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q280. An item is discounted 25% and costs $30.00 after the discount. What was the original price?
Show Answer Correct Answer: B
Explanation: Sale price = original×(1−25/100). So original = 30.00 ÷ 0.75 = 40.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q281. A map scale is 1 inch : 100 feet. If two points are 3 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: C
Explanation: Use the scale as a proportion: distance = 3×100 = 300 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q282. Convert 350 milliliters (mL) to liters (L).
Show Answer Correct Answer: A
Explanation: 1 L = 1000 mL, so divide by 1000: 350 ÷ 1000 = 0.35 L.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q283. Convert 1.25 liters (L) to milliliters (mL).
Show Answer Correct Answer: D
Explanation: 1 L = 1000 mL, so multiply by 1000: 1.25×1000 = 1250 mL.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q284. Adult tickets cost $12 and child tickets cost $8. If 3 adults and 5 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 3·12 + 5·8 = 36 + 40 = 76.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q285. In a group of 50 students, 13 take Biology, 21 take Chemistry, and 1 take both. What fraction of students take Biology or Chemistry?
Show Answer Correct Answer: B
Explanation: Use inclusion–exclusion: |B∪C| = 13+21−1 = 33. Probability/fraction = 33/50 = 33/50.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q286. Solve for x: x/6 + 7 = 7.1667
Show Answer Correct Answer: D
Explanation: Isolate x/6: x/6 = 7.1667 – 7 = 0.1667. Multiply both sides by 6: x = 6×0.1667 = 1.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q287. Which value is a solution to the equation x^2 – 5x + 6 = 0?
Show Answer Correct Answer: D
Explanation: Factor the quadratic: (x−(2)) (x−(3)) = 0, so the solutions are x = 2 and x = 3. One correct solution is 2.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q288. Which value is a solution to the equation x^2 – 36 = 0?
Show Answer Correct Answer: D
Explanation: Factor the quadratic: (x−(6)) (x−(-6)) = 0, so the solutions are x = 6 and x = -6. One correct solution is 6.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q289. A data set has 4 values with a mean of 11. If one more value of 17 is added, what is the new mean?
Show Answer Correct Answer: D
Explanation: Total sum = mean×count = 11×4 = 44. New sum = 44+17 = 61. New mean = 61 ÷ 5 = 12.2.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q290. Which value is a solution to the equation x^2 – 6x + 8 = 0?
Show Answer Correct Answer: B
Explanation: Factor the quadratic: (x−(4)) (x−(2)) = 0, so the solutions are x = 4 and x = 2. One correct solution is 4.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q291. Which value is a solution to the equation x^2 – 1x = 0?
Show Answer Correct Answer: A
Explanation: Factor the quadratic: (x−(1)) (x−(0)) = 0, so the solutions are x = 1 and x = 0. One correct solution is 1.
Citation: OpenStax Algebra and Trigonometry 2e (linear/quadratic equations, functions) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q292. Convert 900 milliliters (mL) to liters (L).
Show Answer Correct Answer: C
Explanation: 1 L = 1000 mL, so divide by 1000: 900 ÷ 1000 = 0.9 L.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q293. In a group of 50 students, 19 take Biology, 11 take Chemistry, and 4 take both. What fraction of students take Biology or Chemistry?
Show Answer Correct Answer: B
Explanation: Use inclusion–exclusion: |B∪C| = 19+11−4 = 26. Probability/fraction = 26/50 = 13/25.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q294. A map scale is 1 inch : 40 feet. If two points are 2 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: B
Explanation: Use the scale as a proportion: distance = 2×40 = 80 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q295. Adult tickets cost $16 and child tickets cost $5. If 4 adults and 3 children buy tickets, what is the total cost?
Show Answer Correct Answer: B
Explanation: Multiply each price by its quantity and add: 4·16 + 3·5 = 64 + 15 = 79.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q296. A data set has 4 values with a mean of 13. If one more value of 30 is added, what is the new mean?
Show Answer Correct Answer: A
Explanation: Total sum = mean×count = 13×4 = 52. New sum = 52+30 = 82. New mean = 82 ÷ 5 = 16.4.
Citation: OpenStax Introductory Statistics 2e (descriptive stats, probability basics) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q297. Convert 7.5 grams (g) to milligrams (mg).
Show Answer Correct Answer: C
Explanation: 1 g = 1000 mg, so multiply by 1000: 7.5×1000 = 7500 mg.
Citation: NIST SP 811 (SI/metric relationships & prefixes) – nist.gov; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q298. Adult tickets cost $15 and child tickets cost $8. If 3 adults and 5 children buy tickets, what is the total cost?
Show Answer Correct Answer: A
Explanation: Multiply each price by its quantity and add: 3·15 + 5·8 = 45 + 40 = 85.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q299. A map scale is 1 inch : 100 feet. If two points are 1.5 inches apart on the map, how far apart are they in feet?
Show Answer Correct Answer: D
Explanation: Use the scale as a proportion: distance = 1.5×100 = 150 feet.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com
Q300. An item is discounted 25% and costs $75.00 after the discount. What was the original price?
Show Answer Correct Answer: D
Explanation: Sale price = original×(1−25/100). So original = 75.00 ÷ 0.75 = 100.00.
Citation: OpenStax Prealgebra 2e (fractions, percents, basic algebra) – openstax.org; ATI TEAS Exam Details (Mathematics: Numbers & Algebra; Measurement & Data) – atitesting.com