HESI A2
Math HESI A2 Practice Test
1. Solve for x: 2x - 7 = 9.
- A. x = 10
- B. x = 7
- C. x = 8
- D. x = 5
Correct answer: C
Rationale: To solve the equation 2x - 7 = 9, first, add 7 to both sides to isolate the variable: 2x = 16. Then, divide by 2 to solve for x: x = 8. Choice A (x = 10) is incorrect because the solution is x = 8, not 10. Choice B (x = 7) is incorrect as it does not correctly solve the equation. Choice D (x = 5) is incorrect as it does not yield the correct solution for x.
2. Divide: 5 ÷ 9 =
- A. 0.05
- B. 0.5
- C. 5
- D. 50
Correct answer: B
Rationale: When dividing 5 by 9, you are finding how many times 9 can fit into 5. Since 9 is greater than 5, the result will be less than 1. Therefore, 5 ÷ 9 equals 0.555... which is approximately 0.5. Choice A (0.05) is incorrect because it implies a smaller value than the correct answer. Choice C (5) is incorrect as it is not the result of dividing 5 by 9. Choice D (50) is incorrect as it is a much larger value than the correct answer.
3. Add 2\3 + 1\6 + 2\5.
- A. 1 & 7\30
- B. 1 & 1\15
- C. 2\5
- D. 3\4
Correct answer: A
Rationale: To add fractions, find a common denominator (30), which gives 20/30 + 5/30 + 12/30=37/30= 1 7/30
4. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?
- A. 3000 cu cm
- B. 3750 cu cm
- C. 5000 cu cm
- D. 7500 cu cm
Correct answer: B
Rationale: To find the volume of the triangular shelf, first calculate the area of the triangle (1/2 * base * height) which is (1/2 * 40 * 30) = 600 sq cm. Then, multiply this area by the depth of the shelf (600 * 25) = 15000 cu cm. Therefore, the volume of each shelf is 3750 cu cm. Choice A, C, and D are incorrect as they do not correctly calculate the volume based on the dimensions provided.
5. What is the result of multiplying 8 by 2?
- A. 16
- B. 22
- C. 24
- D. 32
Correct answer: A
Rationale: The correct answer is A: 16. When you multiply 8 by 2, the result is 16. Choice B (22), Choice C (24), and Choice D (32) are incorrect as they do not represent the correct multiplication of 8 by 2.
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