HESI A2
HESI A2 Math Practice Exam
1. 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.
2. How many milliliters are in 4 liters?
- A. 40 milliliters
- B. 40 milliliters
- C. 4000 milliliters
- D. 4 milliliters
Correct answer: C
Rationale: To convert liters to milliliters, you must remember that 1 liter is equal to 1,000 milliliters. Therefore, to find out how many milliliters are in 4 liters, you multiply 4 by 1,000. This gives you a total of 4,000 milliliters in 4 liters. Choices A, B, and D are incorrect because they do not correctly convert liters to milliliters. A and B incorrectly represent 40 milliliters, which would be the result if you mistakenly multiplied by 10 instead of 1,000. Choice D is even further from the correct answer, as it suggests only 4 milliliters, which is significantly less than the actual conversion of 4 liters to milliliters.
3. Round to the tenths place: What is 6.4% of 32?
- A. 1.8
- B. 2.1
- C. 2.6
- D. 2.0
Correct answer: B
Rationale: To find 6.4% of 32, first calculate 6.4% as a decimal (0.064) and then multiply it by 32 to get 2.048. When rounding to the tenths place, 2.048 is rounded to 2.1 because the digit after the tenths place is 8, which is equal to or greater than 5. Choice A is incorrect as it does not reflect the accurate calculation. Choices C and D are also incorrect because they do not match the correct result of multiplying 6.4% by 32 and rounding to the tenths place.
4. Convert this military time to regular time: 0705 hours.
- A. 7:05 A.M.
- B. 7:05 P.M.
- C. 5:07 A.M.
- D. 5:07 P.M.
Correct answer: A
Rationale: In military time, 0705 hours translates to 7:05 A.M. Military time follows a 24-hour clock format, so there is no change from A.M. to P.M. like in regular time. Choice B (7:05 P.M.) is incorrect as 0705 hours is in the morning. Choices C (5:07 A.M.) and D (5:07 P.M.) are incorrect due to the incorrect order of hours and minutes.
5. What is the greatest common factor (GCF) of 12 and 18?
- A. 2
- B. 3
- C. 6
- D. 9
Correct answer: C
Rationale: The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.
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