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Math Practice Questions

College Algebra Practice Test Practice Questions

College Algebra Course Practice Set — Work through this free college algebra practice test and sharpen the skills your course leans on most. These college algebra practice questions cover polynomial, rational, exponential, logarithmic, and function problems. Every one comes with a step-by-step explanation, so you learn the method and not just the answer. Stuck on a few college algebra problems? That's normal - and it's exactly what practice is for.

5
Total Questions
Self-paced (about 10 minutes)
Time Limit
Varies by instructor (commonly 70%)
Passing Score
Free
Registration Fee

Free Sample Questions

Here are 5 free sample questions from our full bank of 630+ College Algebra Practice Test practice questions. Try them out below — click "Show Answer" to reveal the correct response and explanation.

1

Solve the polynomial equation x³ - 2x² - 5x + 6 = 0.

Ax = -1, 2, 3
Bx = -3, -2, 1
Cx = -1, -2, 6
Dx = -2, 1, 3
2

Solve the rational equation 6/(x + 1) = x.

Ax = 2 only
Bx = -3 only
Cx = 2 and x = -3
Dx = -2 and x = 3
3

Solve the exponential equation 3^(2x - 1) = 27.

Ax = 2
Bx = 1
Cx = 3
Dx = 5
4

Solve the logarithmic equation log₂(x) + log₂(x - 2) = 3.

Ax = 4 and x = -2
Bx = 4 only
Cx = -2 only
Dx = 6
5

Let f(x) = 2x + 3 and g(x) = x² - 1. What is (f ∘ g)(x)?

A4x² + 12x + 8
B2x² + 2
C2x² + 1
Dx² + 2x + 2

Get the Full College Algebra Practice Test Question Bank — 630+ Practice Questions

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About the College Algebra Practice Test

Format & Structure

Total Questions
5
Time Limit
Self-paced (about 10 minutes)
Format
Multiple choice with worked solutions

Scoring & Cost

Passing Score
Varies by instructor (commonly 70%)
Registration Fee
Free

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Frequently Asked Questions

What topics does a college algebra practice test cover?

A solid college algebra practice test touches polynomial and rational functions, exponential and logarithmic equations, function composition and inverses, systems of equations, inequalities, and sometimes sequences or conic sections. Our set samples the big five: polynomial, rational, exponential, logarithmic, and function problems. Your syllabus may add or drop a few topics, so check it.

How many college algebra practice questions should I do each week?

Aim for 15 to 25 college algebra practice questions a week, spread over three or four sessions. Short, frequent sessions beat one giant cram night. After each session, redo the problems you missed a day or two later to see whether the method actually stuck.

What's a passing score in college algebra?

It depends on your instructor and school. Many courses treat 70 percent as the line for a C, and some programs need a higher grade to count toward prerequisites. Look at your syllabus for the exact cutoff, since this isn't a single standardized score.

Can I use a calculator on college algebra problems?

That's up to your instructor. Some allow a scientific or graphing calculator for exponential and log work, while others want exact answers by hand. Practice both ways. Solving the problems without a calculator builds the algebra skills a calculator can't do for you.

Why do log and rational equations have extraneous solutions?

Both types involve operations that restrict what x can be. You can't take the log of a negative number or divide by zero. When you manipulate the equation, you can pick up answers that break those rules. Plug every answer back into the original equation before you call it done.

What's the best way to study for college algebra?

Work problems by hand, not just read solutions. Write out each step, then compare with the worked explanation. Keep a short error log of the mistakes you repeat, like sign errors or forgetting to check domain restrictions. Review it before every quiz.

Is this college algebra practice test the same as my course quiz?

No. It's a free study set built to match common college algebra topics, not an official assessment from any school. Your instructor's problems may be harder or phrased differently. Use ours to find weak spots, then go back to your textbook and class notes.

Where can I get more help with college algebra?

Start with your instructor's office hours and your campus tutoring center. If you'd like one-on-one guidance on tricky assignments, discussion boards, or concepts that just won't click, ClassMeme offers online class tutoring and coursework help. You can also work through our Algebra 1 questions to firm up the basics.

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