HESI A2
HESI A2 Math Practice
1. Solve: 8x = x^2.
- A. 6
- B. 4
- C. 16
- D. 14
Correct answer: C
Rationale: To solve the equation 8x = x^2, rearrange it to x^2 - 8x = 0. Factor out an x to get x(x - 8) = 0. Set each factor to zero to find the solutions: x = 0 or x = 8. Therefore, x = 16 is the correct answer because x = 0 is not in the answer choices, and x = 8 is a distraction meant to confuse. Thus, choice C, 16, is the correct solution to the equation.
2. A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?
- A. The average temperature is 5 degrees Celsius.
- B. All temperatures are within 5 degrees of each other.
- C. The difference between the highest and lowest temperatures is 5 degrees.
- D. There are exactly 5 temperatures in the set.
Correct answer: C
Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.
3. The physician orders 1000 mg of Benadryl liquid; 1 g = 1 tsp. How many teaspoons will you give?
- A. .75 tsp
- B. 1.5 tsp
- C. 1 tsp
- D. 1.25 tsp
Correct answer: C
Rationale: Since 1 gram (g) equals 1000 milligrams (mg) and 1 g = 1 teaspoon (tsp), the prescribed 1000 mg is equal to 1 tsp. Therefore, you will give 1 teaspoon of the Benadryl liquid. Choices A, B, and D are incorrect because they do not correspond to the correct conversion of 1 g to 1 tsp, which is essential in solving this dosage calculation.
4. Three nurses worked 8-hour shifts. Nurse 1 monitored 6 patients during her shift. Nurse 2 monitored 8 patients, and Nurse 3 monitored 12 patients. How many patients were monitored in total?
- A. 26 patients
- B. 24 patients
- C. 20 patients
- D. 23 patients
Correct answer: A
Rationale: To find the total number of patients monitored, add the patients monitored by each nurse: 6 (Nurse 1) + 8 (Nurse 2) + 12 (Nurse 3) = 26 patients. Therefore, the correct answer is 26 patients. Choice B (24 patients), Choice C (20 patients), and Choice D (23 patients) are incorrect as they do not correctly sum up the patients monitored by each nurse.
5. A table shows the average blood pressure readings for different age groups. How do you determine the highest average systolic pressure?
- A. Find the largest number in the "systolic pressure" column.
- B. Compare the means (averages) of each age group.
- C. Add all systolic pressure values and divide by the total number of patients.
- D. Subtract the lowest systolic pressure from the highest.
Correct answer: A
Rationale: Rationale: - To determine the highest average systolic pressure, you need to identify the highest individual systolic pressure reading in the dataset. - Option A instructs you to find the largest number in the "systolic pressure" column, which directly addresses the task of identifying the highest systolic pressure reading. - Comparing means (Option B) would not necessarily give you the highest individual systolic pressure reading, as averages can be influenced by the distribution of values within each age group. - Adding all systolic pressure values and dividing by the total number of patients (Option C) would give you the overall average systolic pressure, not the highest individual reading. - Subtracting the lowest systolic pressure from the highest (Option D) would give you the range of systolic pressures, not specifically the highest individual reading. Therefore, the correct approach to determine the highest average systolic pressure
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