College Algebra Final Exam
A free College Algebra lesson from the “Modeling and Readiness” unit, with a worked example and practice problems including step-by-step solutions.
An independent 48-question sample across all 16 course units. Review exercises prepare you for the skills; final questions use a separate bank. This assessment samples calculation, interpretation, and reasoning. Its score is evidence about these questions, not an external readiness certification. Written reasoning requires separate review.
What you'll learn
- Demonstrate readiness across College Algebra
- Choose strategies across function families
- Prepare for precalculus or applied math
Worked example
Problem. A value starts at 500 and grows by 4% each period. What multiplier is used?
- Growth means add the percent to 1.
- 4% = 0.04.
- The multiplier is 1.04.
Answer: 1.04
Lesson preview: this page shows 5 practice items. The interactive activity contains 50 practice items and 48 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. Solve 5x - 4 = 31.
Show solution
- Add 4 and divide by 5.
Answer: 7
2. Find the slope through (1, 2) and (5, 14).
Show solution
- 12/4 = 3.
Answer: 3
3. If f(x) = x^2 - 1, find f(8).
Show solution
- 64 - 1 = 63.
Answer: 63
4. Factor x^2 - 5x - 14.
Choices: (x - 7)(x + 2) · (x + 7)(x - 2) · (x - 14)(x + 1) · (x - 5)(x + 14)
Show solution
- -7 and 2 multiply to -14 and add to -5.
Answer: (x - 7)(x + 2)
5. Simplify sqrt(98).
Show solution
- 98 = 49 x 2.
Answer: 7sqrt(2)
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