if x 2 and m 3 evaluate xm 2m
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HESI A2

HESI A2 Practice Test Math

1. If x = -2 and m = -3, evaluate: xm - 2m

Correct answer: A

Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.

2. 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.

3. A farmer buys 3 bags of feed weighing 50 kilograms each. How much feed does he have in total?

Correct answer: B

Rationale: The correct answer is B: 150 kilograms. To find the total amount of feed, you need to multiply the number of bags by the weight of each bag. In this case, 3 bags * 50 kilograms each = 150 kilograms. Therefore, the farmer has a total of 150 kilograms of feed. Choice A (100 kilograms) is incorrect because it doesn't consider the total weight of all 3 bags. Choice C (200 kilograms) and Choice D (250 kilograms) are incorrect as they are miscalculations of the total weight of the feed.

4. Convert 9/10 to a decimal.

Correct answer: C

Rationale: To convert 9/10 to a decimal, divide 9 by 10: 9 ÷ 10 = 0.9. The correct answer is 0.9. Choice A (0.7) is incorrect as 7/10 is equal to 0.7. Choice B (0.8) is incorrect as 8/10 is equal to 0.8. Choice D (1) is incorrect as 10/10 would be equal to 1.

5. Subtract 6 1/2 - 2 2/3.

Correct answer: A

Rationale: To subtract mixed numbers, find a common denominator. Converting 6 1/2 to 6 3/6 and 2 2/3 to 2 4/6, the calculation becomes 6 3/6 - 2 4/6 = 4 1/6. Therefore, the correct answer is A. Choice B (3 1/3) is incorrect as the correct result is not an improper fraction. Choice C (3 5/6) is incorrect as it does not represent the result of the subtraction. Choice D (4 1/3) is incorrect as it does not match the correct calculation.

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