HESI A2 Math Practice

HESI A2 Math Practice Related

Review HESI A2 Math Practice related questions and content

Solve for x: x + 44 / 2x = 11.

  • A. 13
  • B. 33
  • C. 55
  • D. 2.5
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.

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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?

  • A. 2 units
  • B. 3 units
  • C. 4 units
  • D. 5 units
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.

Subtract 2 5\8 - 7\8 and reduce.

  • A. 1 & 5\8
  • B. 1 & 1\4
  • C. 1 & 6\8
  • D. 1 & 3\4
Correct Answer: A

Rationale: Subtract the fractions first: 2 5\8 - 7\8 = 1 & 5\8.

A train travels at 65 mph for 1.5 hours. How far did it travel?

  • A. 97.5 miles
  • B. 95 miles
  • C. 100 miles
  • D. 100.5 miles
Correct Answer: A

Rationale: To find the distance traveled, multiply the speed of the train (65 mph) by the time it traveled (1.5 hours): 65 mph 1.5 hours = 97.5 miles. Therefore, the train traveled 97.5 miles. Choice B, 95 miles, is incorrect as it does not account for the correct calculation. Choice C, 100 miles, is incorrect as it is a rounded-up value. Choice D, 100.5 miles, is incorrect as it is a miscalculation.

If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?

  • A. 107.5
  • B. 106.4
  • C. 105.6
  • D. 109.3
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.

Solve for x: 3x + 9 = 0.

  • A. x = -3
  • B. x = -3
  • C. x = 1
  • D. x = 0
Correct Answer: B

Rationale: To solve the equation 3x + 9 = 0, first, isolate the variable x. Subtract 9 from both sides to get 3x = -9. Then, divide by 3 to solve for x, giving x = -3. Therefore, the correct answer is B. Choice A, x = -3, is the correct solution. Choices C and D are incorrect as they do not satisfy the equation when substituted back into it.

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