Free CLEP College Algebra Practice Test (2026)

What is (2 − 3i)²?

What are all real solutions of 4ˣ − 6·2ˣ + 8 = 0?

Let g(x) = f(2x) + 4, and suppose f(3) = −1. Which statement must be true?

For x ≠ 0 and x ≠ 3, which expression is equivalent to (1/x − 1/3)/(x − 3)?

What is the solution set of |2x − 5| = x + 1?

What is the solution of 3e^(2x) = 12?

If log_b 2 = p and log_b 3 = q, which expression equals log_b √12?

Let f(x) = x² − 4 for x < 1 and f(x) = 2x + 1 for x ≥ 1. For how many values of x is f(x) = 5?

What is the value of 1/(1 − i) + 1/(1 + i)?

Which expression is equivalent to (x + 2)³ − (x − 2)³?

The function f(x) = x² − 6x, with domain x ≥ 3, is one-to-one. Which expression gives f⁻¹(x)?

What is the domain of f(x) = ln(9 − x²)?

What is the range of f(x) = 5 − 2^(x + 1)?

How many real zeros does f(x) = x⁴ + 3x² − 4 have?

Which describes all solutions of −x² + 2x + 8 ≥ 0?

Which is the complete factorization of x⁴ − 13x² + 36?

What is the constant term when (2x − 1/x)⁶ is expanded?

For x > 0 and y > 0, which expression is equivalent to (8x⁶y⁻³)^(2/3)?

Which statement is true for all real numbers a and b?

For which value of k does the system 2x + 3y = 7 and 4x + ky = 10 have no solution?

A car is bought for $24,000. Each year, its value is 15% less than its value the year before. Which function gives its value, in dollars, t years after purchase?

A theater sold 300 tickets for a total of $3,000. Adult tickets cost $12 and child tickets cost $7. How many adult tickets were sold?

Which number is irrational?

For f(x) = x² − 3x and h ≠ 0, which expression equals [f(x + h) − f(x)]/h?

If (n + 2)!/n! = 56, what is n?