a car travels at 60 mph for 5 hours how far did it travel
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Nursing Elites

HESI A2

HESI A2 Math Practice Test 2023

1. A car travels at 60 mph for 5 hours. How far did it travel?

Correct answer: C

Rationale: To find the distance traveled, multiply the speed by the time: 60 mph × 5 hours = 300 miles. Choice A (360 miles) and Choice D (360 miles) are incorrect as they do not accurately calculate the distance based on the given speed and time. Choice B (240 miles) is also incorrect as it underestimates the distance traveled.

2. A vitamin's expiration date has passed. It was supposed to contain 500 mg of calcium, but it has lost 325 mg of calcium. How many mg of calcium are left?

Correct answer: A

Rationale: The correct answer is A: 175 mg. The vitamin originally contained 500 mg of calcium. After losing 325 mg, the remaining amount of calcium is calculated as 500 mg - 325 mg = 175 mg. Choice B (135 mg) is incorrect because the vitamin lost more calcium than that. Choices C (185 mg) and D (200 mg) are incorrect as they do not consider the amount of calcium lost from the original 500 mg.

3. A nurse needs to dilute 2 milliliters of a concentrated medication with 8 milliliters of sterile water. What is the final concentration of the solution in percent?

Correct answer: B

Rationale: To find the final concentration, first, calculate the total volume of the solution (2 ml + 8 ml = 10 ml). Then, determine the concentration by dividing the volume of the concentrated medication by the total volume and multiplying by 100%: (2 ml / 10 ml) * 100% = 20%. Therefore, the correct answer is B. Choice A (16.67%) is incorrect as it does not represent the correct calculation. Choices C (25%) and D (50%) are both incorrect as they do not reflect the accurate concentration resulting from the dilution process.

4. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

Correct answer: C

Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.

5. In a bar graph showing the number of patients admitted to the ER each day for a week, how do you determine the day with the highest number of admissions?

Correct answer: A

Rationale: The correct answer is A: 'Find the tallest bar in the graph.' In a bar graph, the height of each bar represents the quantity being measured. The tallest bar indicates the day with the highest number of admissions. Therefore, this is the most direct and accurate method to determine the day with the highest number of admissions. Choices B, C, and D are incorrect because comparing all bars, calculating the average, or subtracting the lowest from the highest does not directly identify the day with the highest number of admissions in a bar graph.

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