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NLN PAXFree Pre-Admission Examination practice test
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Solve the inequality: -3x - 5 < 22
Answer key
All 10 NLN PAX questions & answers
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Q1. Solve the inequality: -3x - 5 < 22
Correct answer: A. x > -9
Add 5 to both sides: -3x < 27. Divide both sides by -3, remembering to flip the inequality sign when dividing by a negative number: x > -9.
Q2. What is the solution set for the equation |5 + x| = 10?
Correct answer: D. {-15, 5}
Absolute value equations yield two cases. Setting 5 + x = 10 gives x = 5. Setting 5 + x = -10 gives x = -15. The complete solution set is {-15, 5}.
Q3. What is the solution set for the equation |x - 3| = 6?
Correct answer: C. {-3, 9}
An absolute value equation creates two separate equations. From x - 3 = 6, we get x = 9. From x - 3 = -6, we get x = -3. The solution set is therefore {-3, 9}.
Q4. Given that 1 liter equals 1.76 pints, how many liters are equivalent to 56.32 pints?
Correct answer: B. 32 liters
Set up the proportion: 1 liter / 1.76 pints = x / 56.32 pints. Cross-multiplying gives 1.76x = 56.32, so x = 56.32 ÷ 1.76 = 32 liters.
Q5. What is the simplified value of 1/9 × 3 2/3?
Correct answer: A. 11/27
Convert the mixed number to an improper fraction: 3 2/3 = 11/3. Then multiply: (1 × 11) / (9 × 3) = 11/27.
Q6. What is the simplified result of 2/5 × 1 5/8?
Correct answer: C. 13/20
Convert the mixed number: 1 5/8 = 13/8. Multiply numerators and denominators: (2 × 13) / (5 × 8) = 26/40. Reduce by dividing by 2 to get 13/20.
Q7. If 25% of a number equals 36, what is 16% of that same number?
Correct answer: C. 23
From 0.25x = 36, we get x = 144. Then 16% of 144 is 0.16 × 144 = 23.04, which rounds to 23.
Q8. Simplify the expression: 3 1/6 ÷ 2 1/4
Correct answer: A. 1 11/27
Convert both mixed numbers: 3 1/6 = 19/6 and 2 1/4 = 9/4. Dividing by a fraction means multiplying by its reciprocal: 19/6 × 4/9 = 76/54. Simplify by dividing by 2: 38/27 = 1 11/27.
Q9. Solve for x: 3(x - 4) = 18
Correct answer: A. x = 10
Divide both sides by 3 to get x - 4 = 6. Then add 4 to both sides: x = 10.
Q10. How many times greater is 3/4 than 1/2?
Correct answer: A. 1 1/2
Set up the equation 3/4 = (1/2)x. Solving gives x = 3/4 ÷ 1/2 = 3/4 × 2 = 6/4 = 1 1/2.
Exam facts and objectives sourced from the official NLN (National League for Nursing) certification page. Last reviewed June 2026.
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