solve for x 3x 5 10
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HESI A2

HESI A2 Math Practice Test 2022

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

Correct answer: A

Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.

2. How many grams are in 7 kilograms?

Correct answer: A

Rationale: To convert kilograms to grams, you need to multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 7 kilograms is equal to 7 x 1,000 = 7,000 grams. The correct answer is 7000 grams. Choice B (70 grams) is incorrect as it represents the conversion of 7 kilograms to grams without considering the correct multiplier. Choice C (700 grams) is incorrect as it is a tenth of the correct conversion. Choice D (70,000 grams) is incorrect as it is ten times the correct conversion.

3. A marathon runner is training for her next race. On her weekly weekend run she completes 21.4 miles and burns 2276 calories. What is her rate of calories burned per mile?

Correct answer: A

Rationale: To calculate the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. The correct answer is A. Choice B, C, and D are incorrect as they do not match the correct calculation result. Therefore, they can be eliminated. It is essential to divide the total calories burned by the total miles run to determine the rate of calories burned per mile accurately.

4. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars?

Correct answer: B

Rationale: To determine how many minutes it will take Larry to wash 80 cars, we first calculate his rate of washing cars per minute: 50 cars / 20 minutes = 2.5 cars per minute. To wash 80 cars, we divide the total number of cars by the cars washed per minute: 80 cars / 2.5 cars per minute = 32 minutes. Hence, it will take Larry 32 minutes to wash 80 cars. Choices A, C, and D are incorrect as they do not align with the correct calculation based on Larry's rate of washing cars.

5. Richard wants to make 2.5 batches of sugar cookies. One batch calls for 1.75 cups of sugar. How many cups of sugar will Richard need for 2.5 batches?

Correct answer: A

Rationale: To calculate how much sugar Richard needs for 2.5 batches, multiply the amount of sugar needed for one batch (1.75 cups) by 2.5: 1.75 × 2.5 = 4.375  cups 1.75×2.5=4.375 cups Since the question is asking for the nearest whole number, 4.375 rounds to 4.

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