HESI A2
HESI A2 Math
1. If an investment earns 5% interest annually, how much interest will it earn in 1 year on a principal of $1,000?
- A. $40
- B. $50
- C. $60
- D. $55
Correct answer: B
Rationale: The correct answer is B: $50. To calculate the interest earned on an investment with a 5% interest rate on a principal of $1,000, you simply multiply the principal amount by the interest rate. 5% of $1,000 is $50. Therefore, the investment will earn $50 in interest in 1 year. Choice A, $40, is incorrect because it represents 4% interest instead of 5%. Choice C, $60, is incorrect because it overestimates the interest earned. Choice D, $55, is incorrect as it does not accurately reflect the 5% interest on the principal amount.
2. Change the following decimal to a percent: 0.09
- A. 9%
- B. 90%
- C. 1%
- D. 0%
Correct answer: A
Rationale: To convert a decimal to a percentage, you multiply by 100. Therefore, 0.09 * 100 = 9%. The correct answer is A. Choice B (90%) is incorrect because multiplying 0.09 by 100 does not equal 90%. Choices C (1%) and D (0%) are incorrect as they do not reflect the accurate conversion of 0.09 to a percentage.
3. Solve for x: 3(x - 4) = 18.
- A. x = 10
- B. x = 12
- C. x = 5
- D. x = 3
Correct answer: A
Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.
4. A car travels 240 miles in 4 hours. What is its speed in miles per hour?
- A. 50 mph
- B. 60 mph
- C. 55 mph
- D. 75 mph
Correct answer: B
Rationale: To calculate speed, divide the distance traveled by the time taken: 240 miles ÷ 4 hours = 60 mph. Therefore, the correct answer is B. Choice A (50 mph) is incorrect as it results from an incorrect calculation. Choice C (55 mph) and D (75 mph) are also incorrect because they are not the correct result of dividing 240 miles by 4 hours.
5. Express 2/5 as a decimal.
- A. 0.2
- B. 0.25
- C. 0.4
- D. 2.5
Correct answer: C
Rationale: To express 2/5 as a decimal, you divide the numerator (2) by the denominator (5). 2 ÷ 5 = 0.4. Choice A (0.2) is the decimal equivalent of 1/5, not 2/5. Choice B (0.25) is the decimal equivalent of 1/4, not 2/5. Choice D (2.5) is not the correct decimal equivalent of 2/5 as it is greater than 1.
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