if x 2 and m 3 evaluate xm 2m

HESI A2

HESI A2 Practice Test Math

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

A. 12
B. 6
C. 8
D. 10

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 the volume of water needed to fill a rectangular swimming pool with dimensions 10 meters by 5 meters and a depth of 2 meters?

A. 50 cu m
B. 100 cu m
C. 150 cu m
D. 200 cu m

Correct answer: B

Rationale: To find the volume of the rectangular swimming pool, you need to multiply the length by the width by the depth. Volume = Length x Width x Depth. Therefore, Volume = 10m x 5m x 2m = 100 cubic meters. This means it takes 100 cubic meters of water to fill the pool. Choices A, C, and D are incorrect as they do not correctly calculate the volume based on the provided dimensions.

3. How many kilometers is equivalent to 200 meters?

A. 50 kilometers
B. 20 kilometers
C. 12 kilometers
D. 0.2 kilometers

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.

4. What is 35% of 70?

A. 17.5
B. 24.5
C. 35
D. 50

Correct answer: B

Rationale: To find 35% of a number, you multiply the number by 0.35. In this case, 35% of 70 is calculated as 70 x 0.35 = 24.5. Choice A (17.5) is incorrect because it represents 25% of 70. Choice C (35) is incorrect as it is the percentage itself, not the result of the calculation. Choice D (50) is incorrect as it does not represent the result of finding 35% of 70.

5. A truck driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday. How many hours did he drive?

A. 28 hours
B. 32 hours
C. 27 hours
D. 15 hours

Correct answer: C

Rationale: The correct answer is 27 hours. To calculate the driving time, we need to subtract the time of departure from the time of arrival. The driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday. This means the driver was on the road for a total of 32 hours. However, we need to consider that the driver might have taken breaks during this time. By subtracting the break time, typically around 5 hours for a long journey, we arrive at the actual driving time of 27 hours. Choice A (28 hours) is incorrect as it does not account for breaks. Choice B (32 hours) is incorrect as it does not consider break time. Choice D (15 hours) is incorrect as it is too low considering the departure and arrival times.