solve for x 4x 2 18
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HESI A2

Math HESI A2 Practice Test

1. Solve for x: 4x + 2 = 18.

Correct answer: B

Rationale: To solve for x, first, subtract 2 from both sides of the equation: 4x = 16. Then, divide by 4 to isolate x: x = 4. Choice A, x = 4, is the correct answer as calculated. Choice C, x = 5, is incorrect because the correct value of x is 4, not 5. Choice D, x = 3, is incorrect as well, as the correct value of x is 4, not 3.

2. If Mr. Johnson gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over, how much pay does he receive?

Correct answer: B

Rationale: Let Mr. Johnson's pay be represented as x. After giving half of his pay to his family, he has x/2 left. Subtracting $250 paid to his landlord, he has x/2 - $250 remaining. Given that this remaining amount is 3/7 of his original pay, the equation becomes x/2 - $250 = 3x/7. Solving this equation shows that x = $3,500. Therefore, Mr. Johnson receives $3,500. Choices A, C, and D are incorrect as they do not align with the correct calculation based on the given conditions in the question.

3. What is the result of subtracting 10.012 from 0.120?

Correct answer: B

Rationale: To find the result of subtracting 10.012 from 0.120, you need to subtract the two numbers: 0.120 - 10.012 = -9.892. The correct answer is B, 9.892. Choices A, C, and D are incorrect because they do not reflect the correct subtraction operation and result.

4. How many milliliters are in 5 pints of water?

Correct answer: A

Rationale: The correct answer is A: 2400 milliliters. Since 1 pint is equivalent to 480 milliliters, to find out how many milliliters are in 5 pints, you multiply 480 by 5, which equals 2400 milliliters. Choice B (4800 milliliters) is incorrect because it multiplies 480 by 10 instead of 5. Choice C (2000 milliliters) is incorrect as it incorrectly equates 1 pint to 400 milliliters. Choice D (3600 milliliters) is incorrect as it miscalculates the conversion of pints to milliliters.

5. What is 60% of 150?

Correct answer: B

Rationale: To find 60% of 150, you multiply 0.6 by 150, which equals 90. Therefore, the correct answer is 90. Choice A (80) is incorrect because it does not represent 60% of 150. Choice C (120) is incorrect as it exceeds 100% of 150. Choice D (80) is a duplicate of choice A and does not accurately represent 60% of 150.

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