solve for x x5 310
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HESI A2

Math HESI A2 Practice Test

1. Solve for x: x/5 = 3/10.

Correct answer: D

Rationale: To solve for x when x/5 = 3/10, you need to cross-multiply. This gives you 10x = 5 × 3. Simplifying further, you get x = 15/10, which reduces to x = 1.5. Therefore, the correct answer is x = 1.5. Choices A, B, and C are incorrect because they do not match the correct calculation for x.

2. Divide: 727 ÷ 6 =

Correct answer: C

Rationale: When dividing 727 by 6, the quotient is 121 with a remainder of 1. The correct answer is, therefore, 121 r1. Choice A (120 r1) is incorrect as the quotient is 121, not 120. Choice B (120 r3) is also incorrect as the remainder should be 1, not 3. Choice D (127 r3) is incorrect as both the quotient and remainder are different from the correct values obtained by dividing 727 by 6.

3. A patient's weight is measured as 75 kilograms. What is their weight in pounds?

Correct answer: B

Rationale: Rationale: To convert kilograms to pounds, you can use the conversion factor 1 kilogram is approximately equal to 2.20462 pounds. Therefore, to convert 75 kilograms to pounds: 75 kilograms * 2.20462 pounds/kilogram ≈ 165.3475 pounds Rounded to the nearest whole number, the patient's weight of 75 kilograms is approximately 165 pounds. Among the given options, the closest weight in pounds to 165 is 150 pounds (option B).

4. How many ounces are in 2.5 gallons?

Correct answer: C

Rationale: To convert gallons to ounces, we need to know that 1 gallon is equal to 128 ounces. Therefore, 2.5 gallons would be 2.5 x 128 = 320 ounces. This makes choice C, '320 ounces,' the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from gallons to ounces.

5. What is 7 1/8 + 2 4/12 equal to?

Correct answer: A

Rationale: To add mixed numbers, first convert the fractions to a common denominator. The least common denominator between 8 and 12 is 24. Converting 7 1/8 to 7 3/24 (since 1/8 = 3/24) and 2 4/12 to 2 8/24 (since 4/12 = 8/24), we can add the whole numbers separately to get 9. Then, adding the fractions 3/24 and 8/24 gives 11/24. Therefore, 7 1/8 + 2 4/12 equals 9 11/24. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct addition of mixed numbers with the appropriate conversion of fractions.

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