Math HESI A2 Practice Test

Correct Answer: B

Rationale: To solve for x in the equation 4x + 2 = 18, we first isolate x by subtracting 2 from both sides, giving us 4x = 16. Then, we divide both sides by 4 to find x = 4, which is choice B. The correct answer is x = 4 because substituting x = 4 back into the original equation gives 4(4) + 2 = 18, which simplifies to 16 + 2 = 18, confirming that x = 4 is the solution. Choices A, C, and D are incorrect because they do not satisfy the original equation when substituted back in.

Correct Answer: A

Rationale: To subtract 12 - 7 4\5, you first convert 12 to an improper fraction: 12 = 60\5. Then, subtract 60\5 - 7 4\5 = 60\5 - 39\5 = 21\5. Finally, convert 21\5 back to a mixed number, which is 4 1\5 or 5 1\5. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not result from the correct subtraction process.

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one outcome of rolling a 2 on a six-sided die, and there are a total of six possible outcomes (1, 2, 3, 4, 5, 6). Therefore, the probability of rolling a 2 is 1 out of 6, which simplifies to 1/6. Explanation for why other choices are incorrect: B: 1/4 - This is incorrect because there is only one outcome of rolling a 2, not 2 outcomes out of 6. C: 1/3 - This is incorrect because the probability of rolling a 2 is not 1 out of 3, but 1 out of 6. D: 1/2 - This is incorrect because the probability of rolling a 2 is not 1 out of 2, but 1 out of 6.

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: D

Rationale: To find 75% of 80, you multiply 80 by 0.75 (which represents 75%). 80 * 0.75 = 60. Therefore, the correct answer is D: 60. Choice A (35) is incorrect because it is not 75% of 80. Choice B (45) is also incorrect as it is not the correct calculation for 75% of 80. Choice C (70) is incorrect as well since it does not represent 75% of 80.