CLEP Precalculus Exam 2025: Complete Question Bank with Detailed Answers & Explanations |100% PASSSS

CLEP Precalculus Exam 2025:
Complete Question Bank with
Detailed Answers &
Explanations

Format: Multiple-choice questions (similar to the actual CLEP
exam) with explanations for each answer.


1. Algebra Review
Q1: Simplify 3x2−12x2−x−6x2−x−63x2−12.
A) 3(x+2)x+3x+33(x+2)
B) 3(x−2)x−3x−33(x−2)
C) 3(x−2)x+3x+33(x−2)
D) 3(x+2)x−3x−33(x+2)
✅ Answer: B
Explanation: Factor numerator and denominator:
Numerator: 3(x2−4)=3(x−2)(x+2)3(x2−4)=3(x−2)(x+2)
Denominator: (x−3)(x+2)(x−3)(x+2)
Simplify: 3(x−2)(x+2)(x−3)(x+2)=3(x−2)x−3(x−3)(x+2)3(x−2)
(x+2)=x−33(x−2)


2. Functions & Graphs
Q2: If f(x)=2x−5f(x)=2x−5 and g(x)=x2+1g(x)=x2+1, what
is (f∘g)(3)(f∘g)(3)?

, A) 5
B) 13
C) 21
D) 29
✅ Answer: A
Explanation:
Find g(3)=32+1=10g(3)=32+1=10.
Plug into ff: f(10)=2(10)−5=15f(10)=2(10)−5=15.
(Note: This question tests function composition.)


3. Trigonometry
Q3: What is the exact value of sin⁡(7π6)sin(67π)?
A) −12−21
B) 3223
C) 1221
D) −32−23
✅ Answer: A
Explanation:
7π667π is in Quadrant III (reference angle π66π).
sin⁡sin is negative here: −sin⁡(π6)=−12−sin(6π)=−21.


4. Exponential & Logarithmic Functions
Q4: Solve for xx: log⁡2(x)+log⁡2(x−4)=3log2(x)+log2
(x−4)=3.
A) 2
B) 4
C) 6
D) 8