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. At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?

Correct answer: A

Rationale: Robert spent a total of $7.95 on three comics ($2.65 each). When he paid with a $20 bill, the change he received can be calculated by subtracting the total cost from the payment amount: $20 - $7.95 = $12.05. Therefore, Robert received $12.05 in change. Choice B ($11.05) is incorrect because it doesn't reflect the correct calculation. Choice C ($10.00) is incorrect as it doesn't consider the total cost of the comics. Choice D ($13.50) is incorrect as it overestimates the change Robert received.

3. What is the solution to the equation 4y - 6 = 14? Solve for y.

Correct answer: B

Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 ÷ 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.

4. Sergeant Kellogg had his men line up at 3:40 P.M. What would that be in military time?

Correct answer: D

Rationale: In military time, the 24-hour clock is used. 3:40 P.M. in standard time would be 1540 in military time. To convert from standard time to military time, you keep the hour number the same for afternoon and evening hours but add 12 to afternoon hours. Choice A (340) is incorrect as it doesn't follow the military time format. Choice B (3040) is incorrect as military time uses a maximum of four digits. Choice C (1500) is incorrect as it represents 3:00 P.M. in military time, not 3:40 P.M.

5. Subtract 2 & 5/8 - 7/8 and reduce.

Correct answer: C

Rationale: To subtract 7/8 from 2 & 5/8, you need to borrow 1 whole from the 2, making it 1 whole and 13/8. Then, subtracting 7/8 from 13/8 results in 6/8, which simplifies to 3/4. Therefore, the answer is 1 & 3/4. Choice A (1 & 5/8) is incorrect as the correct answer is 1 & 3/4. Choice B (1 & 6/8) can be simplified to 1 & 3/4, which is the correct answer. Choice D (1 & ¼) is incorrect as the subtraction result is greater than 1, making the whole number part 1.

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