Math HESI A2 Practice Test

Correct Answer: D

Rationale: To convert quarts to ounces, we know that 1 quart equals 32 ounces. Therefore, 3 quarts would equal 3 x 32 = 96 ounces. This makes answer choice D (96 ounces) the correct option. Choice A (64 ounces) is incorrect because it miscalculates the conversion. Choice B (32 ounces) is incorrect as it represents 1 quart, not 3 quarts. Choice C (48 ounces) is also incorrect as it is an intermediate value between the correct answer and the incorrect answer A.

Correct Answer: A

Rationale: To find the time to wash 100 cars, we can set up a proportion: 30 cars / 15 minutes = 100 cars / x minutes. Cross multiply to get 30x = 1500, then divide by 30 to find x = 50 minutes. Therefore, the correct answer is A. Choice B, 55 minutes, is incorrect as it does not align with the calculation. Choice C, 30 minutes, is incorrect as it is the time to wash 60 cars, not 100. Choice D, 45 minutes, is incorrect as it does not match the calculated time of 50 minutes for washing 100 cars.

Correct Answer: B

Rationale: To express 0.75 as a fraction, first note that 0.75 is equivalent to 75/100. Simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 25, gives 3/4. Therefore, the correct answer is B: 3/4. Option A (4/5) is incorrect as it does not represent 0.75. Option C (1/2) is incorrect as it is not equal to 0.75. Option D (1/4) is incorrect as it is not the equivalent fraction of 0.75.

Correct Answer: C

Rationale: To solve for x, add 7 to both sides of the equation: 2x - 7 + 7 = 9 + 7. This simplifies to 2x = 16. Then, divide by 2 on both sides to get x = 8. This is the correct answer (C) because it correctly follows the principles of algebra. Choices A, B, and D are incorrect as they do not yield the correct solution when substituted back into the original equation.

Correct Answer: A

Rationale: To convert 5/8 to a decimal, divide 5 by 8, which equals 0.625. The correct answer is A (0.625) because it is the result of dividing the numerator by the denominator. Choice B (0.5) is incorrect as 5/8 is not equal to 0.5. Choice C (0.4) and choice D (0.75) are also incorrect as they do not represent the equivalent decimal value of 5/8.