HESI A2 Math Practice Test 2023

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 12 1/8 = 97/8 and 9 1/2 = 19/2. Then, subtract the fractions: 97/8 - 19/2 = 97/8 - 38/8 = 59/8. Finally, convert the result back to a mixed number: 59/8 = 7 3/8. Therefore, the correct answer is A: 2 5/8. Choices B, C, and D are incorrect because they do not match the result of the subtraction calculation.

Correct Answer: D

Rationale: To convert 3/8 to a decimal, divide the numerator (3) by the denominator (8): 3 ÷ 8 = 0.375. The correct answer is D. Choice A (0.25) is the decimal equivalent of 1/4, not 3/8. Choice B is a duplicate of A. Choice C (0.3) is the decimal equivalent of 3/10, not 3/8.

Correct Answer: B

Rationale: To find the perimeter of the table, we add the lengths of all four sides. Since opposite sides are equal, we have two pairs of sides with lengths 75cm and 50cm each. Therefore, the perimeter is 2(75cm) + 2(50cm) = 150cm. Choice A is incorrect because it only considers one pair of sides. Choice C is incorrect as it adds all sides together without considering the pairs. Choice D is incorrect as it only considers one side length.

Correct Answer: D

Rationale: To solve for x in the equation 4x - 8 = 16, we first isolate x by adding 8 to both sides, yielding 4x = 24. Then, divide both sides by 4 to find x = 6. This is the correct answer because it satisfies the original equation. Choice A and B are the same and incorrect. Choice C is incorrect as it does not solve the equation correctly.

Correct Answer: B

Rationale: To subtract mixed numbers, first convert them to improper fractions: 17 2\3 = 53\3 and 8 5\9 = 77\9. Then, find a common denominator, which is 9. Subtracting, you get 53\3 - 77\9 = (53*3 - 77)/9 = (159 - 77)/9 = 82/9. Convert 82/9 back to a mixed number, which is 9 1\9 (choice B). The other choices are incorrect because they do not match the correct result obtained through proper subtraction and conversion. Choice A is incorrect as it does not match the calculated result of 9 1\9. Choice C is incorrect as it does not match the calculated result of 9 1\9. Choice D is incorrect as it duplicates choice A without consideration of the actual calculation.