solve for x 5x 10 20
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HESI A2

HESI A2 Math Practice Test 2023

1. Solve for x: 5x + 10 = 20.

Correct answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.

2. How many kilometers is equivalent to 200 meters?

Correct answer: D

Rationale: To convert meters to kilometers, divide the number of meters by 1000, as 1 kilometer is equal to 1000 meters. Therefore, 200 meters is equivalent to 200 / 1000 = 0.2 kilometers. Choices A, B, and C are incorrect because they do not correctly convert meters to kilometers. A provides an answer that would be correct if converting from kilometers to meters. B and C are much larger distances than what 200 meters represent.

3. Subtract 32 divided by 8\9.

Correct answer: A

Rationale: 32 ÷ (8\9) is the same as 32 × (9\8) = 36.

4. After the young mother goes shopping and spends $101.85 on groceries, $21.90 at the dry cleaners, and $42.66 at the pet store, she has $200.00 in cash. How much money would she have left after her day of shopping?

Correct answer: A

Rationale: The correct answer is A, $33.59. To find out how much money she would have left, we need to calculate the total spending by adding the amounts spent at the groceries, dry cleaners, and pet store: $101.85 + $21.90 + $42.66 = $166.41. Subtract the total spending from the initial cash amount to determine the remaining cash: $200.00 - $166.41 = $33.59. Choice B, $29.59, is incorrect as it does not accurately reflect the correct calculation. Choices C and D, $25.59 and $21.59 respectively, are also incorrect as they do not consider the correct total spending amount and subtraction from the initial cash.

5. A farmer's production statistics find that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed to produce 24 eggs in 24 hours?

Correct answer: D

Rationale: First, find how many eggs 1 chicken can produce in 24 hours. If 2 chickens produce 6 eggs: 6 eggs / 2 chickens = 3 eggs per chicken. To produce 24 eggs, we divide the required number of eggs by the production rate per chicken: 24 eggs / 3 eggs per chicken = 8 chickens. Therefore, the correct answer is D. 8 chickens. Choice A, 12 chickens, is incorrect because it does not consider the production rate per chicken. Choice B, 4 chickens, is incorrect as it does not account for the number of eggs needed. Choice C, 3 chickens, is incorrect because it miscalculates the production rate per chicken.

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