HESI A2
HESI A2 Quizlet Math
1. If a rat can finish a maze in about 3 minutes, how much longer will it take the rat to finish the maze if a small backpack is put on it, reducing its speed by 50%?
- A. 3 minutes
- B. 4 minutes
- C. 6 minutes
- D. 1.5 minutes
Correct answer: C
Rationale: Reducing the rat's speed by 50% means it will take twice as long to finish the maze. Since the original time is 3 minutes, doubling that gives 6 minutes. Therefore, the total time will be 6 minutes, making the correct answer C. Choice A (3 minutes) is the original time it takes the rat to finish the maze, not the time with the backpack. Choice B (4 minutes) is not correct as reducing the speed by 50% would double the original time. Choice D (1.5 minutes) is incorrect as halving the time is not the effect of reducing the speed by 50%.
2. 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?
- A. -3
- B. 0
- C. 33
- D. 15
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.
3. Convert to metric: 7 grams = x milligrams
- A. 700 mg
- B. 0.7 mg
- C. 7,000 mg
- D. 0.07
Correct answer: C
Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 7 grams is equal to 7,000 milligrams. Choice A (700 mg) is incorrect because it represents grams to milligrams incorrectly. Choice B (0.7 mg) is incorrect as it converts grams to milligrams erroneously by decimal placement. Choice D (0.07) is incorrect as it converts grams to milligrams inaccurately by misplacing the decimal point.
4. A nurse administers 150mg of medication every 4 hours. How many milligrams will the patient receive in 24 hours?
- A. 300mg
- B. 600mg
- C. 750mg
- D. 900mg
Correct answer: D
Rationale: Rationale: - The patient receives 150mg of medication every 4 hours. - To calculate how many milligrams the patient will receive in 24 hours, we need to determine how many times the medication is administered in 24 hours. - Since the medication is administered every 4 hours, there are 24 hours in a day, so the medication will be administered 24 / 4 = 6 times in 24 hours. - Therefore, the total amount of medication the patient will receive in 24 hours is 150mg x 6 = 900mg.
5. What is the result of dividing 40.3 by 4.8?
- A. 7.5
- B. 8.4
- C. 6.2
- D. 9.1
Correct answer: B
Rationale: To divide 40.3 by 4.8, you perform the calculation: 40.3 ÷ 4.8 ≈ 8.4. Therefore, the correct answer is 8.4. Choice A (7.5) is incorrect as it is the result of dividing 40.3 by 5.4. Choice C (6.2) is incorrect as it is the result of dividing 40.3 by 6.5. Choice D (9.1) is incorrect as it is the result of dividing 40.3 by 4.4.
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