solve for x 32 24x
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HESI A2

Practice HESI A2 Math Test

1. Solve for x: 3:2 :: 24:x

Correct answer: A

Rationale: To solve the proportion 3:2 :: 24:x, we set up the equation 3/2 = 24/x. Cross multiply to get 3x = 48, then divide by 3 to find x = 16. Therefore, the correct answer is 16. Choice B (12) is incorrect as it does not satisfy the proportion. Choice C (2) is incorrect as it does not match the relationship between the numbers given. Choice D (22) is incorrect as it is not the solution to the proportion equation.

2. Divide and simplify: 4⅛ ÷ 1½ =

Correct answer: C

Rationale: To divide mixed numbers, we first convert them to improper fractions. Converting 4⅛ to an improper fraction gives us 33/8, and converting 1½ gives us 3/2. Dividing 33/8 by 3/2, we multiply the first fraction by the reciprocal of the second. This gives us (33/8) / (3/2) = (33/8) * (2/3) = 66/24 = 11/4, which simplifies to 2¾. Therefore, the correct answer is 2¾. Choices A, B, and D are incorrect as they do not represent the correct result of dividing 4⅛ by 1½.

3. What is 72 inches converted to feet?

Correct answer: B

Rationale: To convert inches to feet, you divide the number of inches by 12 since there are 12 inches in a foot. Therefore, 72 inches divided by 12 equals 6 feet. The correct answer is 6 feet. Choice A, 12 feet, is incorrect as it is the result if we were converting 144 inches. Choice C, 4 feet, and Choice D, 17 feet, are incorrect conversions and do not correspond to the given measurement of 72 inches.

4. What number is 44 equal to 25% of?

Correct answer: A

Rationale: To find the number, let it be x. The equation is 44 = 0.25 * x. Dividing both sides by 0.25 gives x = 44 / 0.25 = 176. Therefore, 44 is equal to 25% of 176. Choice A is correct because 176 is the number that 44 is equal to 25% of. Choices B, C, and D are incorrect as they do not satisfy the equation 44 = 0.25 * x.

5. Convert the following military time to regular time: 15:17:52.

Correct answer: B

Rationale: To convert military time to regular time, subtract 12 from the hours if it is 13 or greater. In this case, 15:17:52 becomes 3:17:52 PM. Choice A (2:17 PM) is incorrect as it doesn't adjust for the 12-hour conversion. Choice C (5:17 AM) and Choice D (9:17 AM) are incorrect as they don't reflect the correct conversion from military time to regular time.

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