HESI A2
HESI A2 Math Practice Exam
1. 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.
2. A patient's temperature is 98.6 degrees Fahrenheit. What is their temperature in degrees Celsius (1°F = 5/9°C)?
- A. 37�C
- B. 32�C
- C. 41�C
- D. 45�C
Correct answer: A
Rationale: To convert Fahrenheit to Celsius, you need to subtract 32 from the Fahrenheit temperature (98.6°F) and then multiply the result by 5/9. Doing this calculation, you get 37°C. Choice B (32°C) is incorrect because it doesn't consider the conversion formula correctly. Choices C (41°C) and D (45°C) are incorrect as they do not apply the conversion formula accurately, leading to incorrect results.
3. Change the decimal to a percent: 0.64 =
- A. 0.64%
- B. 6.4%
- C. 64%
- D. 0.064%
Correct answer: C
Rationale: To convert a decimal to a percent, multiply by 100. In this case, 0.64 × 100 = 64%. Therefore, the correct answer is C. Choice A (0.64%) is incorrect as it represents the original decimal value in percentage form. Choice B (6.4%) is incorrect as it incorrectly multiplies the decimal value by 10 instead of 100. Choice D (0.064%) is incorrect as it represents the decimal value as a fraction of 1000 instead of 100.
4. How many ounces are in 1.5 quarts?
- A. 32 ounces
- B. 16 ounces
- C. 48 ounces
- D. 64 ounces
Correct answer: C
Rationale: To convert quarts to ounces, you multiply the number of quarts by the conversion factor of 32 (since there are 32 ounces in a quart). Therefore, 1.5 quarts is equal to 1.5 x 32 = 48 ounces. The correct answer is 48 ounces. Choice A (32 ounces) is incorrect as it represents the amount of ounces in 1 quart, not 1.5 quarts. Choice B (16 ounces) is incorrect as it is half the amount of ounces in 1 quart. Choice D (64 ounces) is incorrect as it represents the amount of ounces in 2 quarts, not 1.5 quarts.
5. The physician orders 60 mg of Augmentin; 80 mg/mL is on hand. How many milliliters will you give?
- A. 1 ml
- B. 0.5 ml
- C. 0.75 ml
- D. 1.25 ml
Correct answer: C
Rationale: To find the volume required, divide the prescribed dose (60 mg) by the concentration available (80 mg/mL): 60 mg ÷ 80 mg/mL = 0.75 mL. Therefore, 0.75 mL is the correct amount to administer. Choice A (1 ml) is incorrect as it does not consider the concentration of the solution. Choice B (0.5 ml) is incorrect as it is half the correct amount. Choice D (1.25 ml) is incorrect as it is more than the calculated correct amount.
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