HESI A2
HESI A2 Math 2024
1. What would be the total cost to buy 5 bars of soap if one bar of soap costs $0.96?
- A. $3.30
- B. $3.80
- C. $4.30
- D. $4.80
Correct answer: D
Rationale: To find the total cost of purchasing 5 bars of soap, multiply the cost of one bar of soap by the number of bars. If one bar costs $0.96, then 5 bars would cost $0.96 x 5 = $4.80. Therefore, the correct answer is $4.80. Option A, $3.30, is incorrect as it does not result from the correct multiplication. Option B, $3.80, is also incorrect as it does not reflect the total cost of 5 bars. Option C, $4.30, is incorrect as it does not represent the accurate total cost of purchasing 5 bars of soap.
2. 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.
3. If the total cost of his purchase was $9.38 and he gave the cashier $20, how much change did he receive?
- A. $0.62
- B. $5.02
- C. $9.38
- D. $10.62
Correct answer: D
Rationale: To determine the amount of change received, you need to subtract the total cost from the amount given. $20 - $9.38 = $10.62. Therefore, he received $10.62 in change. Option A ($0.62) is incorrect as it is the difference in cents, not dollars. Option B ($5.02) is incorrect as it does not reflect the correct subtraction. Option C ($9.38) is incorrect as it represents the total cost of the purchase, not the change received.
4. What number is 98 175% of?
- A. 48
- B. 52
- C. 54
- D. 56
Correct answer: D
Rationale: To find the number that 98 is 175% of, we can set up the equation: x = 1.75 * x. By solving this equation, we get x = 56. Therefore, 98 is 175% of 56. Choice D, 56, is the correct answer as it represents the number that satisfies the given condition. Choices A, B, and C are incorrect as they do not result in 98 when multiplied by 1.75.
5. How many ounces are in 4.5 quarts?
- A. 120 ounces
- B. 120 ounces
- C. 144 ounces
- D. 128 ounces
Correct answer: C
Rationale: There are 32 ounces in a quart, so to find out how many ounces are in 4.5 quarts, you need to multiply 4.5 by 32. 4.5 quarts * 32 ounces/quart = 144 ounces. Therefore, the correct answer is 144 ounces. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from quarts to ounces.
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