CLEP College Algebra Math Practice Test Questions

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CLEP College Algebra Overview

CLEP exam: 60 questions, 90 minutes. Covers algebraic operations (20%), linear equations (25%), quadratic equations (20%), functions/advanced (35%). Passing score earns 3 credits. Computer-adaptive, no calculator usually provided.

Problem 1: Polynomial

Expand (x+3)(x^2-3x+9). Distribute: x^3-3x^2+9x+3x^2-9x+27 = x^3+27 (sum of cubes).

Problem 2: Linear Equation

Solve (2x-1)/3 = (x+5)/2. Cross-multiply: 2(2x-1) = 3(x+5). Expand: 4x-2 = 3x+15. Solve: x=17.

Problem 3: Quadratic

Solve x^2-7x+12=0. Factor: (x-3)(x-4)=0. Solutions: x=3 or x=4.

Problem 4: System

Solve 2x+y=5 and x-y=1. Add: 3x=6 so x=2. Substitute: 2-y=1 so y=1. Solution: (2,1).

Problem 5: Function Notation

If f(x)=3x^2-2x+1, find f(-2). f(-2) = 3(4)+4+1 = 17.

Problem 6: Logarithm

Solve log_2(x)=5. Convert: x=2^5=32.

Problem 7: Exponential

Population P(t)=1000*2^t. After 3 years: P(3)=1000*8=8000.

Exam Format

Computer-adaptive difficulty. Multiple-choice and numeric answers. 90 minutes total. No calculator (usually). Must manage time well.

Test Tips

Read carefully. Don’t spend excessive time per problem. Skip and return to hard ones. Check algebra. Estimate to verify answers. Double-check numeric entries.

Challenge Areas

Complex fractions. Systems and substitution. Exponential/logarithmic functions. Rational expressions with factoring.

Preparation

Complete full-length practice tests. Review algebra fundamentals. Practice quadratic formula and factoring. Study function notation and transformations. Resources: CLEP Cheat Sheet, Domain and Range, SAT Math.