HESI A2
HESI A2 Math Practice
1. Solve for x: 3x + 9 = 0.
- A. x = -3
- B. x = -3
- C. x = 1
- D. x = 0
Correct answer: B
Rationale: To solve the equation 3x + 9 = 0, first, isolate the variable x. Subtract 9 from both sides to get 3x = -9. Then, divide by 3 to solve for x, giving x = -3. Therefore, the correct answer is B. Choice A, x = -3, is the correct solution. Choices C and D are incorrect as they do not satisfy the equation when substituted back into it.
2. Change the following percentage to a decimal: 58%
- A. 0.58
- B. 5
- C. 0
- D. 0
Correct answer: A
Rationale: To convert a percentage to a decimal, move the decimal point two places to the left. Therefore, 58% as a decimal is 0.58. Choice B, 5, is incorrect as it does not represent the conversion of a percentage to a decimal. Choices C and D, both 0, are also incorrect as they do not reflect the correct conversion of 58% to a decimal.
3. If y = 4 and x = 3, solve y x³
- A. -108
- B. 108
- C. 27
- D. 4
Correct answer: B
Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.
4. Square: A garden bed has a side length of 8 meters. What is its perimeter?
- A. 16m
- B. 24m
- C. 32m
- D. 64m
Correct answer: C
Rationale: The perimeter of a square is found by adding up all four sides. Since all sides of a square are equal in length, the perimeter is calculated by multiplying the side length by 4. In this case, the side length of the square garden bed is 8 meters. Therefore, the perimeter is 8m x 4 = 32m. Choice A (16m) is incorrect as it represents only half of the perimeter. Choice B (24m) is incorrect because it is the perimeter of a square with a side length of 6 meters, not 8 meters. Choice D (64m) is incorrect as it represents the area of the square, not the perimeter.
5. What is 70% of 65?
- A. 40.5
- B. 45.5
- C. 50
- D. 55
Correct answer: B
Rationale: To find 70% of 65, you multiply 0.7 by 65. Mathematically, 0.7 * 65 = 45.5. Therefore, the correct answer is 45.5. Choice A (40.5) is incorrect because it is not the result of multiplying 0.7 by 65. Choice C (50) is incorrect as it is higher than the correct answer. Choice D (55) is also higher than the correct result and is therefore incorrect.
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