HESI A2
HESI A2 Quizlet Math
1. Percent Increase/Decrease: A medication dosage is increased by 20%. If the original dosage was 100mg, what is the new dosage?
- A. 80mg
- B. 100mg
- C. 120mg
- D. 140mg
Correct answer: C
Rationale: Calculate the increase in dosage: 100mg * 20% = 100mg * 0.20 = 20mg. Add the increase to the original dosage to find the new dosage: 100mg + 20mg = 120mg. Therefore, the new dosage is 120mg after a 20% increase from the original 100mg dosage. Choice A (80mg) is incorrect because it represents a decrease rather than an increase. Choice B (100mg) is the original dosage and does not account for the 20% increase. Choice D (140mg) is incorrect as it is the original dosage plus 40%, not the 20% increase specified.
2. Find x if 40:5 = 60:x.
- A. 12
- B. 7
- C. 1
- D. 8
Correct answer: B
Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.
3. A patient's weight is measured as 75 kilograms. What is their weight in pounds?
- A. 132 pounds
- B. 150 pounds
- C. 110 pounds
- D. 85 pounds
Correct answer: B
Rationale: Rationale: To convert kilograms to pounds, you can use the conversion factor 1 kilogram is approximately equal to 2.20462 pounds. Therefore, to convert 75 kilograms to pounds: 75 kilograms * 2.20462 pounds/kilogram ≈ 165.3475 pounds Rounded to the nearest whole number, the patient's weight of 75 kilograms is approximately 165 pounds. Among the given options, the closest weight in pounds to 165 is 150 pounds (option B).
4. Express the ratio of 6:7 as a percentage.
- A. 67%
- B. 76%
- C. 86%
- D. 93%
Correct answer: A
Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.
5. The price of an item increased from $9.00 to $10.00. What percentage did the price increase by?
- A. 5%
- B. 11.11%
- C. 20%
- D. 25%
Correct answer: B
Rationale: To calculate the percentage increase, subtract the original price from the new price, then divide the result by the original price and multiply by 100. In this case, the increase is $10.00 - $9.00 = $1.00. $1.00 divided by $9.00 is approximately 0.1111, which equals 11.11%, making choice B the correct answer. Choice A, 5%, is too low as the increase is more than 5%. Choice C, 20%, and choice D, 25%, are too high, exaggerating the actual increase of $1.00.
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