HESI A2
HESI A2 Math Practice Test 2022
1. If 7 is to 9 as x is to 63, find the value of x.
- A. x = 49
- B. x = 39
- C. x = 50
- D. x = 59
Correct answer: A
Rationale: To find the value of x, set up the proportion 7/9 = x/63. Cross multiply to get 7*63 = 9*x. This simplifies to 441 = 9x. Divide both sides by 9 to solve for x, giving x = 49. Therefore, the correct answer is A. Choice B (x = 39), Choice C (x = 50), and Choice D (x = 59) are incorrect as they do not match the correct calculation based on the proportion set up.
2. Evaluate the following expression: -x + y + xy, when x = 4 and y = 2.
- A. 2
- B. 6
- C. 12
- D. 8
Correct answer: B
Rationale: To evaluate the expression, substitute x = 4 and y = 2 into the expression: -4 + 2 + 4*2. Calculate each term: -4 + 2 = -2, then 4*2 = 8. Adding these results gives -2 + 8 = 6. Therefore, the correct answer is 6. Choice A (2) is incorrect as it does not consider all terms in the expression. Choice C (12) is incorrect as it miscalculates the result by failing to account for the negative sign. Choice D (8) is incorrect as it doesn't consider the negative value of the first term in the expression.
3. What is the result of dividing 2,032 by 25?
- A. 91 r3
- B. 81 r28
- C. 81 r7
- D. 9 r3
Correct answer: C
Rationale: When dividing 2,032 by 25, you find that 25 goes into 2,032 a total of 81 times without exceeding it. The remainder is 7, not 28 as stated in choice B. This is because 25 * 81 = 2,025, leaving a difference of 7, not 28. Choice A and D are incorrect because they do not correctly represent the division result of 2,032 by 25.
4. Solve for x: 4x + 2 = 18.
- A. x = 4
- B. x = 4
- C. x = 5
- D. x = 3
Correct answer: B
Rationale: To solve for x, first, subtract 2 from both sides of the equation: 4x = 16. Then, divide by 4 to isolate x: x = 4. Choice A, x = 4, is the correct answer as calculated. Choice C, x = 5, is incorrect because the correct value of x is 4, not 5. Choice D, x = 3, is incorrect as well, as the correct value of x is 4, not 3.
5. How many grams are in 4 kilograms?
- A. 4000
- B. 40
- C. 500
- D. 0
Correct answer: A
Rationale: The metric system is based on powers of 10. Since 1 kilogram equals 1000 grams, to convert 4 kilograms to grams, you multiply 4 by 1000. Therefore, 4 kilograms is equal to 4000 grams. Choice B (40) is incorrect because it represents grams in 4 decagrams, not kilograms. Choice C (500) is incorrect as it is the result of 4 hectograms, not kilograms. Choice D (0) is incorrect as it implies there are no grams in 4 kilograms, which is false.
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