HESI A2
HESI A2 Math Practice Test 2023
1. Solve for x: 5x + 10 = 20.
- A. 4
- B. 2
- C. 5
- D. 7
Correct answer: A
Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.
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. If the outside temperature is currently 15 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?
- A. 59°F
- B. 61°F
- C. 63.5°F
- D. 65.2°F
Correct answer: A
Rationale: To convert Celsius to Fahrenheit, you can use the formula: (°C × 9/5) + 32 = °F. Substituting 15°C into the formula gives us (15 × 9/5) + 32 = 59°F. Therefore, the approximate temperature on the Fahrenheit scale for 15 degrees Celsius is 59 degrees Fahrenheit. Choice B, C, and D are incorrect as they do not align with the correct conversion formula and calculation.
4. If the elephant weighed 3 tons, how many pounds did it weigh?
- A. 6000 pounds
- B. 5000 pounds
- C. 3000 pounds
- D. 7000 pounds
Correct answer: A
Rationale: To convert tons to pounds, you multiply by 2000 because 1 ton is equal to 2000 pounds. Therefore, 3 tons equal 3 × 2000 = 6000 pounds. The correct answer is 6000 pounds. Choice B (5000 pounds) is incorrect because it miscalculates the conversion. Choice C (3000 pounds) is incorrect as it represents the weight of 1 ton, not 3 tons. Choice D (7000 pounds) is incorrect as it overestimates the weight of 3 tons.
5. How many milligrams are in 7 grams?
- A. 7000 mg
- B. 7 mg
- C. 700 mg
- D. 70 mg
Correct answer: A
Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. So, 1,000 x 7 grams = 7,000 mg. This means that there are 7,000 milligrams in 7 grams. Choices B, C, and D are incorrect because they do not correctly convert grams to milligrams.
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