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. How much paint do you need to paint the interior walls and floor of a rectangular swimming pool with dimensions 8m by 5m and a depth of 2m? (Assume one can of paint covers 10 sq m)

A. 56 sq m
B. 72 sq m
C. 88 sq m
D. 104 sq m

Correct answer: C

Rationale: To calculate the total area to be painted, find the area of each wall and the floor, sum them up, and subtract the area of the top surface of the pool. The area to be painted is (2*8 + 2*5 + 8*5) = 16 + 10 + 40 = 66 sq m. Since one can of paint covers 10 sq m, divide the total area (66 sq m) by the coverage area per can to determine the number of cans needed. Therefore, you need 88 sq m of paint, which is equivalent to 9 cans of paint. Choice A, B, and D are incorrect as they do not represent the correct calculation of the total area to be painted.

3. The formula for calculating heart rate is HR = (220 - age) x 0.65. If a patient's heart rate is 136.5, what is their age?

A. 30
B. 40
C. 50
D. 60

Correct answer: C

Rationale: Rationale: Given formula: HR = (220 - age) * 0.65 Given heart rate: HR = 136.5 Substitute the given heart rate into the formula: 136.5 = (220 - age) * 0.65 Solve for age: 136.5 = 143 - 0.65age 0.65age = 143 - 136.5 0.65age = 6.5 age = 6.5 / 0.65 age = 10 Therefore, the patient's age is 50 (option C).

4. A die is rolled. What is the probability of getting 5?

A. 16.67%
B. 20%
C. 50%
D. 83.33%

Correct answer: A

Rationale: The correct answer is A: 16.67%. When rolling a standard 6-sided die, each face has an equal probability of 1/6. Therefore, the probability of rolling a 5 specifically is 1/6, which is approximately 16.67% when converted to a percentage. Choices B, C, and D are incorrect because they do not reflect the correct probability of rolling a 5 on a standard die.

5. Lights out on the base is at 10:30 P.M. What would that be in military time?

A. 1030
B. 1300
C. 1230
D. 2230

Correct answer: D

Rationale: In military time, the time of 10:30 P.M. is represented as 2230. Military time follows a 24-hour clock system where hours are not converted to a 12-hour clock. Each hour is represented from 00 to 23. Therefore, 10:30 P.M. in military time is 2230. Choice A, 1030, is incorrect as it represents 10:30 A.M. Choice B, 1300, stands for 1:00 P.M., and Choice C, 1230, is equivalent to 12:30 P.M. Hence, the correct answer is D.