solve for x 742 4x
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HESI A2

Practice HESI A2 Math Test

1. Solve for x: 7:42 :: 4:x

Correct answer: B

Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.

2. The recipe called for 3 1/2 pints of sour cream. How many cups of sour cream would that be equivalent to?

Correct answer: B

Rationale: To convert 3 1/2 pints of sour cream to cups, knowing that 1 pint equals 2 cups, we multiply 3.5 by 2, resulting in 7 cups. Therefore, the equivalent amount of sour cream in cups is 7 cups. Choice A is incorrect as it does not consider the correct conversion factor. Choice C is incorrect as it does not account for the accurate conversion from pints to cups. Choice D is incorrect as it underestimates the conversion by not multiplying the pints by the correct factor.

3. Calculate the product of the following decimals: (0.67)(0.09)

Correct answer: A

Rationale: To multiply decimals, align the numbers as whole numbers, multiply as if they were whole numbers, then adjust the decimal point in the final answer. When multiplying 0.67 by 0.09, the result is 0.0603. To get this result, multiply 67 by 9 to get 603, then adjust the decimal point two places to the left in the final product, resulting in 0.0603. Choice B, 0.6, is incorrect because it does not account for the decimal precision in the multiplication. Choice C, 0.603, is incorrect as it has the digits reversed when compared to the correct answer. Choice D, 0.06, is incorrect as it does not reflect the correct product of the two decimals being multiplied.

4. What is 25% of 200?

Correct answer: A

Rationale: To find 25% of a number, you multiply the number by 0.25. So, to calculate 25% of 200, you do 0.25 × 200 = 50. Therefore, the correct answer is A. Choice B (60) is incorrect as it is the result of calculating 30% of 200. Choice C (25) is incorrect as it represents 12.5% of 200. Choice D (30) is incorrect as it is the result of calculating 15% of 200.

5. How many grams are in 8 kilograms?

Correct answer: D

Rationale: To convert kilograms to grams, you multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 8 kilograms = 8 x 1,000 = 8,000 grams. The correct answer is 8,000 grams, which is option D. Choices A and C are incorrect as they incorrectly multiply by 10,000 instead of 1,000. Choice B is incorrect as it divides 8 by 10 instead of multiplying by 1,000.

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What is the result of adding 7 2/3 and 5 5/12?
Add: 3 1/8 + 1 1/4.

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