HESI A2 Math Practice Test 2023

Correct Answer: C

Rationale: Rationale: To find an equivalent expression for 5i, we can rewrite it as 5√-1. This is because i represents √-1. Therefore, 5i is equivalent to 5 times the imaginary unit, which simplifies to 5√-1. Choice A is incorrect as it represents the negative of 5 and not an imaginary unit. Choice B, i^5, is incorrect as it represents i raised to the power of 5 and not the equivalent of 5i. Choice D, 1/5i, is incorrect as it represents the reciprocal of 5i and not the equivalent value itself.

Correct Answer: C

Rationale: To convert 9/10 to a decimal, you divide 9 by 10. The result is 0.9. This is because in decimal form, the denominator becomes the place value. So 9 divided by 10 equals 0.9. Choice A (0.7) is incorrect because 7/10 is equivalent to 0.7. Choice B (0.8) is incorrect because 8/10 is equivalent to 0.8. Choice D (1) is incorrect as 1 represents the whole number equivalent, not the decimal form of 9/10. Therefore, the correct answer is C (0.9).

Correct Answer: A

Rationale: To add fractions, we need a common denominator, which for 3, 6, and 5 is 30. So, we rewrite the fractions with a denominator of 30: 20/30 + 5/30 + 12/30 = 37/30. Simplifying 37/30 as 1 & 7/30 gives us the correct answer, choice A. The other choices are incorrect because they do not reflect the accurate sum of the fractions. Choice B is incorrect as it simplifies to 1 & 1/15, not 1 & 7/30. Choice C simplifies to 2/5, which is not the sum of the given fractions. Choice D simplifies to 3/4, which is also not the sum of the fractions provided.

Correct Answer: A

Rationale: The correct answer is A: 1/6. The probability of getting a 1 on a six-sided die is calculated by dividing the number of favorable outcomes (rolling a 1) by the total number of possible outcomes (6 sides on the die). Since there is only 1 side with a 1, the probability is 1/6. Choice B (1/4) is incorrect as it represents the probability of rolling a 1 on a four-sided die, which only has 4 sides. Choice C (1/3) is incorrect as it represents the probability of rolling a 1 on a three-sided die, which is not a standard die. Choice D (1/2) is incorrect as it represents the probability of rolling a 1 on a two-sided die, which is not a standard die.

Correct Answer: A

Rationale: To convert yards to inches, you need to know that 1 yard is equal to 36 inches. Therefore, 1.5 yards is 1.5 x 36 = 54 inches. The correct answer is A (54 inches). Choice B (60 inches) is incorrect because it does not accurately convert 1.5 yards to inches. Choices C (72 inches) and D (84 inches) are also incorrect as they do not reflect the correct conversion.