TEAS Nursing Entrance practice questions and answers 2026. Tap an option to test yourself — you'll see the correct answer and a plain-English explanation for every question. Free, no login.
Q21Solve for x: 5x − 3(x + 4) = 10
✓ Correct answer: D. x = 11
Distribute: 5x − 3x − 12 = 10 → 2x = 22 → x = 11; verify: 5(11) − 3(15) = 55 − 45 = 10. ✓
Q22A solution is mixed in a ratio of saline to medication of 7:3. If the total volume is 250 mL, how many milliliters of medication are in the solution?
✓ Correct answer: A. 75 mL
Medication is 3 parts out of 10 total parts: 3/10 × 250 = 75 mL.
Q23A patient's hemoglobin level dropped from 14.2 g/dL to 11.0 g/dL. What is the percent decrease, rounded to the nearest whole percent?
✓ Correct answer: D. 23%
Percent decrease = (14.2 − 11.0) / 14.2 × 100 = 3.2 / 14.2 × 100 ≈ 22.5%, which rounds to 23%.
Q24Using the dosage formula D/H × Q = amount to give, a nurse wants to administer 75 mg of a drug. The stock vial contains 100 mg per 5 mL. How many milliliters should be drawn up?
✓ Correct answer: D. 3.75 mL
75/100 × 5 = 375/100 = 3.75 mL using the D/H × Q dosage formula.
Q25If 2/5 of a nursing cohort passed their licensing exam on the first attempt and 18 students did NOT pass, how many total students are in the cohort?
✓ Correct answer: B. 30
If 2/5 passed, then 3/5 did not; set 3/5 × n = 18, so n = 18 × 5/3 = 30 students.
Q26A medication infuses at 42 mL/hr. The nurse increases the rate by 16.67%. What is the new infusion rate, rounded to the nearest whole mL/hr?
✓ Correct answer: D. 49 mL/hr
16.67% ≈ 1/6; increase = 42 × 1/6 = 7 mL/hr; new rate = 42 + 7 = 49 mL/hr.
Q27Solve for y: (y/3) + (y/4) = 14
✓ Correct answer: A. y = 24
Find a common denominator of 12: 4y/12 + 3y/12 = 14 → 7y/12 = 14 → y = 14 × 12/7 = 24.
Q28A clinical trial enrolls patients in a 3:1:2 ratio across treatment groups A, B, and C respectively. If group B has 15 patients, how many patients are in group C?
✓ Correct answer: D. 30
With ratio 3:1:2, one part = B = 15; group C has 2 parts, so C = 2 × 15 = 30 patients.
Q29A lab value is reported as 0.00475 g. Which of the following correctly expresses this in milligrams (1 g = 1,000 mg)?
✓ Correct answer: C. 4.75 mg
Multiply by the conversion factor: 0.00475 g × 1,000 mg/g = 4.75 mg.
Q30A pharmacist has a 40% dextrose stock solution and needs to prepare 200 mL of a 15% dextrose solution using sterile water (0%). Using the alligation method, how many milliliters of the 40% solution are required?
✓ Correct answer: B. 75 mL
Alligation: parts of 40% = (15 − 0) = 15; parts of 0% = (40 − 15) = 25; total parts = 40; volume of 40% solution = (15/40) × 200 = 75 mL.
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