HESI A2 Math Practice Test - Nurselytic

Correct Answer: D

Rationale:
To determine the amount of change received, you need to subtract the total cost from the amount given. $20 - $9.38 = $10.62.
Therefore, he received $10.62 in change. Option A ($0.62) is incorrect as it is the difference in cents, not dollars. Option B ($5.02) is incorrect as it does not reflect the correct subtraction. Option C ($9.38) is incorrect as it represents the total cost of the purchase, not the change received.

Correct Answer: B

Rationale:
To find the number that 6 is equal to 15% of, we set up the equation 0.15x = 6, where x is the unknown number.
To solve for x, we divide 6 by 0.15, which gives us x = 40.
Therefore, 6 is equal to 15% of the number 40.
Choice A (0.9) is incorrect as it is not the result of dividing 6 by 0.15.

Choices C (80) and D (90) are incorrect as they do not satisfy the equation 0.15x = 6.

Correct Answer: A

Rationale:
To subtract mixed numbers, convert them to improper fractions. 8¼ = 33/4 and 1½ = 3/2. Subtracting, we get 33/4 - 3/2 = 33/4 - 6/4 = 27/4 = 6¾, which simplifies to 4¼.
Therefore, the correct answer is 4¼.
Choice B is incorrect as it represents the intermediate step of 6¾ before simplification.
Choice C is incorrect as it is the result of the subtraction but not simplified.
Choice D is incorrect as it is the original mixed number 7¼, not the simplified result.

Correct Answer: C

Rationale:
To find the largest positive number among the expressions, we evaluate each one:

A) (2 + 3)^2 = 5^2 = 25

B) 5 x 7 + 2 = 35 + 2 = 37

C) 10^2 - 4^2 = 100 - 16 = 84

D) (8 - 1) x 3 = 7 x 3 = 21

Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84.

Choices A, B, and D result in smaller numbers.

Correct Answer: B

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.