HESI A2
HESI A2 Practice Test Math
1. Solve for x: 3(x - 4) = 18.
- A. x = 10
- B. x = 12
- C. x = 5
- D. x = 3
Correct answer: A
Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.
2. Convert 2/5 to a decimal.
- A. 0.5
- B. 0.25
- C. 0.4
- D. 0.5
Correct answer: C
Rationale: To convert 2/5 to a decimal, you divide the numerator (2) by the denominator (5): 2 ÷ 5 = 0.4. Therefore, the correct decimal representation of 2/5 is 0.4. Choice A (0.5) is incorrect because it represents 1/2, not 2/5. Choice B (0.25) is incorrect as it represents 1/4, not 2/5. Choice D (0.5) is incorrect as it also represents 1/2, not 2/5.
3. What percentage of her income is left after Mary spent 15%?
- A. 12%
- B. 85%
- C. 75%
- D. 95%
Correct answer: B
Rationale: To determine the percentage of income remaining after spending 15%, subtract the percentage spent from 100% (100% - 15% = 85%). Therefore, Mary has 85% of her income left, which aligns with answer choice B. Choice A (12%) is incorrect because it represents the remaining amount after spending 88% of her income. Choice C (75%) is incorrect as it does not account for the 15% already spent. Choice D (95%) is incorrect as it does not consider the amount spent by Mary.
4. Add and simplify: 4⅔ + 6½ =
- A. 11⅙
- B. 10⅓
- C. 9⅙
- D. 9
Correct answer: C
Rationale: To add 4⅔ and 6½, we first need to convert the fractions to have the same denominator. Converting 4⅔ to 6ths gives us 8/6, and 6½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7½ or 9⅙. Therefore, the correct answer is 9⅙. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.
5. Convert 9/10 to a decimal.
- A. 0.7
- B. 0.8
- C. 0.9
- D. 1
Correct answer: C
Rationale: To convert 9/10 to a decimal, divide 9 by 10: 9 ÷ 10 = 0.9. The correct answer is 0.9. Choice A (0.7) is incorrect as 7/10 is equal to 0.7. Choice B (0.8) is incorrect as 8/10 is equal to 0.8. Choice D (1) is incorrect as 10/10 would be equal to 1.
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