HESI A2
HESI A2 Quizlet Math
1. What is the solution to the equation 4y - 6 = 14? Solve for y.
- A. 4
- B. 5
- C. 6
- D. 7
Correct answer: B
Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 ÷ 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.
2. What is the result of multiplying 7.2 by 0.34?
- A. 14.12
- B. 0.234
- C. 7.64
- D. 2.448
Correct answer: D
Rationale: To find the result of multiplying 7.2 by 0.34, multiply these two numbers: 7.2 x 0.34 = 2.448. The correct answer is 2.448. Choice A, 14.12, is incorrect as it seems to be the sum of the two numbers. Choice B, 0.234, is incorrect as it is much smaller than the expected result. Choice C, 7.64, is incorrect as it is the result of adding the two numbers rather than multiplying them.
3. Add 7/8 + 9/10 + 6/5. Express the result as a mixed number.
- A. 3 & 39/40
- B. 3 & 22/23
- C. 22/23
- D. 2 & 39/40
Correct answer: A
Rationale: To add fractions, find a common denominator, which in this case is 40. Convert each fraction to have the common denominator: 7/8 = 35/40, 9/10 = 36/40, and 6/5 = 48/40. Add these fractions to get 119/40. Simplify this improper fraction to a mixed number, which is 3 & 39/40. Choice B and C are incorrect as they do not represent the sum of the fractions. Choice D is incorrect; the whole number part should be 3, not 2.
4. What is the result of adding 5 2/9 and 1 2/9?
- A. 6 4/9
- B. 7 5/9
- C. 7
- D. 5 2/9
Correct answer: A
Rationale: To add mixed numbers with fractions, first add the whole numbers together: 5 + 1 = 6. Then add the fractions: 2/9 + 2/9 = 4/9. Combining the whole number and the fraction parts gives 6 4/9. Therefore, the correct answer is 6 4/9. Choice B (7 5/9) is incorrect as the fractions were not added correctly. Choice C (7) is incorrect as it does not account for the fractions. Choice D (5 2/9) is one of the original numbers and not the sum of both.
5. What is the average of the numbers 14, 73, and 7?
- A. 28.57
- B. 30.57
- C. 29.56
- D. 31.33
Correct answer: D
Rationale: The correct answer is D. Adding 14 + 73 + 7 gives a total of 94. To find the average, we divide the sum by the number of values (3), which equals 31.33. Rounding this average to two decimal places gives us 31.33, which corresponds to option D. Choices A, B, and C are incorrect as they do not correctly calculate the average of the given numbers. Choice A is close to the sum of the numbers, not the average. Choices B and C are also not correct averages calculated from the provided numbers.
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