HESI A2
HESI A2 Math Practice Questions
Question 1 of 5
Solve for x: x + 44 / 2x = 11.
Correct Answer: A
Rationale:
To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0.
Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13.
Choice B (33) is incorrect as it is not a solution to the equation.
Choice C (55) is incorrect as it is not a solution to the equation.
Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.
Question 2 of 5
Change 0.015 to a fraction.
Correct Answer: A
Rationale:
To convert 0.015 to a fraction, we can rewrite it as 15/1000. Simplifying this fraction, we get 3/200.
Therefore, the correct answer is A.
Choice B (3/2000) is incorrect as the decimal 0.015 is equivalent to 15/1000, not 15/2000.
Choice C (15/1000) is the initial form of 0.015 as a fraction, but it can be further simplified to 3/200.
Choice D (3/100) is incorrect as it does not represent the decimal 0.015.
Question 3 of 5
How many pounds are in 192 ounces?
Correct Answer: C
Rationale:
To convert ounces to pounds, divide the number of ounces by 16 since there are 16 ounces in a pound.
Therefore, 192 ounces · 16 = 12 pounds.
Choice A, 16 pounds, is incorrect because it does not represent the correct conversion from ounces to pounds.
Choice B, 10 pounds, is incorrect as it is not the result of dividing 192 ounces by 16.
Choice D, 16 pounds, is the same as choice A and is incorrect in the context of this conversion.
Question 4 of 5
If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?
Correct Answer: B
Rationale:
To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 · 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon.
Choice A, 107.5, is incorrect as it does not match the precise calculation result.
Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.
Question 5 of 5
A diabetic patient's blood sugar is 180mg/dL. Their usual insulin dose is 1 unit per 40mg/dL above 100mg/dL. How much insulin should be administered?
Correct Answer: B
Rationale:
Rationale:
1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL.
2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units.
3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units.
Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.