Math HESI A2 Practice Test

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: 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: A

Rationale: The correct answer is A: 50%. A six-sided die has 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). To calculate the probability of rolling an even number, we divide the number of favorable outcomes (3) by the total number of outcomes (6), resulting in 3/6 = 0.5 or 50%. Explanation of other choices: B: 16.70% - Incorrect. This percentage does not represent the probability of rolling an even number on a six-sided die. C: 25% - Incorrect. This represents the probability of rolling any number divisible by 5 on a six-sided die, not just even numbers. D: 33.30% - Incorrect. This percentage does not reflect the probability of rolling an even number on a six-sided die.

Correct Answer: A

Rationale: To subtract 9.99 from 12.02, we need to align the decimal points. 12.02 minus 9.99 equals 2.03. So, the correct answer is A. Choice B, 2.21, is the result of adding the numbers. Choice C, 3.17, is the result of adding 9.99 and 2.03. Choice D, 7.97, is the result of subtracting 12.02 from 9.99.

Correct Answer: A

Rationale: To convert 3/4 to a decimal, divide 3 by 4. 3 ÷ 4 = 0.75, so the correct answer is A. Choice B (0.5) is incorrect because that's the decimal form of 1/2. Choice C (0.65) and D (0.85) are incorrect as they do not represent the fraction 3/4 accurately.