HESI A2
HESI A2 Practice Test Math
1. Solve for x: 3(x - 4) = 18.
- A. x = 10
- B. x = 12
- C. x = 5
- D. x = 3
Correct answer: A
Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.
2. If a horse can trot around a track twice in 10 minutes, how many times will it circle the track at that same speed in half an hour?
- A. 3 times
- B. 5 times
- C. 6 times
- D. 10 times
Correct answer: C
Rationale: If a horse can trot around a track twice in 10 minutes, it completes one circle in 5 minutes. To determine how many times it will circle the track in half an hour (30 minutes), divide the total time by the time taken for one circle: 30 minutes / 5 minutes per circle = 6 times. Therefore, the horse will circle the track 6 times at the same speed in half an hour. Choice A, 3 times, is incorrect as it does not consider the correct time taken for a single circle. Choice B, 5 times, is incorrect as it miscalculates the total number of circles within half an hour. Choice D, 10 times, is incorrect as it overestimates the number of circles the horse can complete in the given time frame.
3. How many ounces are in 4 quarts?
- A. 64 ounces
- B. 128 ounces
- C. 32 ounces
- D. 16 ounces
Correct answer: B
Rationale: The correct answer is B: 128 ounces. There are 32 ounces in a quart, so when you have 4 quarts, you multiply 4 by 32 to get the total number of ounces, which equals 128. Choices A, C, and D are incorrect because they do not reflect the correct conversion from quarts to ounces.
4. Stanton runs 2 miles twice a week and 3 miles once a week. If he runs every week, how many miles does he run in a year?
- A. 185
- B. 260
- C. 330
- D. 364
Correct answer: D
Rationale: To calculate how many miles Stanton runs in a year, we first find out how many miles he runs in a week. Running 2 miles twice a week is 2 x 2 = 4 miles, and running 3 miles once a week is an additional 3 miles. Therefore, in a week, Stanton runs a total of 4 + 3 = 7 miles. To find out how many miles he runs in a year, we multiply the weekly total by the number of weeks in a year (52): 7 miles/week x 52 weeks = 364 miles. Therefore, Stanton runs 364 miles in a year. Choice A (185) is incorrect as it does not account for the total weekly distance correctly. Choice B (260) is incorrect as it miscalculates the total miles run in a year. Choice C (330) is incorrect as it does not calculate the correct total distance covered by Stanton in a year.
5. Subtract 6 1/2 - 2 2/3.
- A. 4 1/6
- B. 3 1/3
- C. 3 5/6
- D. 4 1/3
Correct answer: A
Rationale: To subtract mixed numbers, find a common denominator. Converting 6 1/2 to 6 3/6 and 2 2/3 to 2 4/6, the calculation becomes 6 3/6 - 2 4/6 = 4 1/6. Therefore, the correct answer is A. Choice B (3 1/3) is incorrect as the correct result is not an improper fraction. Choice C (3 5/6) is incorrect as it does not represent the result of the subtraction. Choice D (4 1/3) is incorrect as it does not match the correct calculation.
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