HESI A2
HESI A2 Math Practice
1. Solve for x: 3x + 2 = 14
- A. x = 4
- B. x = 2
- C. x = 6
- D. x = 3
Correct answer: A
Rationale: To solve the equation 3x + 2 = 14, first, subtract 2 from both sides to isolate 3x: 3x = 12. Then, divide by 3 to solve for x: x = 4. Therefore, the correct answer is A, x = 4. Choice B, x = 2, is incorrect because it does not satisfy the equation. Choice C, x = 6, is incorrect as well since it does not satisfy the equation. Choice D, x = 3, is also incorrect as it does not satisfy the given equation.
2. Solve for x: 7:42 :: 4:x
- A. 16
- B. 24
- C. 48
- D. 12
Correct answer: B
Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.
3. A die is rolled. What is the probability of getting a 5?
- A. 50%
- B. 20%
- C. 16.60%
- D. 83.30%
Correct answer: C
Rationale: The correct answer is C (16.60%). When rolling a standard 6-sided die, the probability of getting a 5 is 1/6 or approximately 16.6%. Choice A (50%) is incorrect as it represents the probability of getting a specific number on a coin flip, not a die roll. Choice B (20%) is incorrect as it does not reflect the probability of rolling a 5 on a standard die. Choice D (83.30%) is incorrect as it is the complement of the probability of rolling a 5, which is not asked in the question.
4. A nurse working at the hospital earns $22 per hour. She worked two 12-hour shifts and two 8-hour shifts during the week. How much did she earn for the week?
- A. $960
- B. $1,080
- C. $990
- D. $880
Correct answer: A
Rationale: The nurse worked a total of 40 hours (2 x 12 hours + 2 x 8 hours) during the week. Multiplying 40 hours by her hourly rate of $22 gives a total earning of $960 for the week. Therefore, the correct answer is $960. Choice B ($1,080) is incorrect because it miscalculates the earnings by adding extra hours. Choice C ($990) is incorrect as it does not account for the correct number of hours worked. Choice D ($880) is incorrect as it underestimates the total earnings by not considering all hours worked.
5. A clinic sees an average of 25 patients every 4 hours. If the clinic is open for 8 hours, how many patients will they see in total?
- A. 35
- B. 50
- C. 75
- D. 200
Correct answer: D
Rationale: Rationale: 1. First, determine how many patients the clinic sees in one hour: 25 patients / 4 hours = 6.25 patients per hour (approximately 6 patients per hour) 2. Since the clinic is open for 8 hours, multiply the number of patients seen per hour by the number of hours the clinic is open: 6.25 patients/hour * 8 hours = 50 patients 3. Therefore, the clinic will see a total of 50 patients in 8 hours, which corresponds to answer choice D) 200.
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