HESI A2
HESI A2 Quizlet Math
1. What is 28% of 100?
- A. 28
- B. 20
- C. 25
- D. 30
Correct answer: A
Rationale: The correct answer is A: 28. To find 28% of 100, you multiply 0.28 (the decimal equivalent of 28%) by 100. This calculation results in 28. Therefore, 28% of 100 is 28. Choice B, 20, is incorrect as it represents 20% of 100. Choice C, 25, is incorrect as it represents 25% of 100. Choice D, 30, is incorrect as it represents 30% of 100.
2. In a class of 28 people, there are 12 men and 16 women. What is the ratio of men to women?
- A. 3:4
- B. 4:7
- C. 12:16
- D. 1:2
Correct answer: A
Rationale: The correct ratio of men to women is 3:4. To find the ratio, divide the number of men by the number of women: 12 men / 16 women = 3/4, which simplifies to 3:4. Therefore, in a class of 28 people with 12 men and 16 women, the ratio of men to women is 3:4. Choice B (4:7) is incorrect because it does not accurately reflect the given numbers of men and women in the class. Choice C (12:16) is incorrect as it represents the actual count of men and women, not the ratio. Choice D (1:2) is incorrect as it does not match the proportion of men to women in the class.
3. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?
- A. (2 + 3)^2
- B. 5 x 7 + 2
- C. 10^2 - 4^2
- D. (8 - 1) x 3
Correct answer: C
Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.
4. Solve for x: x/250 = 3/500
- A. 1.5
- B. 25.5
- C. 1500
- D. 2.5
Correct answer: A
Rationale: To solve for x in the equation x/250 = 3/500, you can cross-multiply: x*500 = 3*250. Therefore, 500x = 750. Now, divide both sides by 500: x = 750/500. Simplifying, x = 1.5. Therefore, the correct answer is A, 1.5. Choice B, 25.5, is incorrect as it does not match the correct calculation. Choice C, 1500, is incorrect as it is not the result of solving the equation given. Choice D, 2.5, is incorrect as well, as it does not align with the correct value of x obtained from the equation.
5. Solve for x: 3:2 :: 24:x
- A. 16
- B. 12
- C. 2
- D. 22
Correct answer: A
Rationale: To solve the proportion 3:2 :: 24:x, we set up the equation 3/2 = 24/x. Cross multiply to get 3x = 48, then divide by 3 to find x = 16. Therefore, the correct answer is 16. Choice B (12) is incorrect as it does not satisfy the proportion. Choice C (2) is incorrect as it does not match the relationship between the numbers given. Choice D (22) is incorrect as it is not the solution to the proportion equation.
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