Pre-Algebra Final Exam
A free Pre-Algebra lesson from the “Cumulative Review and Test Prep” unit, with a worked example and practice problems including step-by-step solutions.
An independent 40-question sample across all 8 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 mastery across the entire Pre-Algebra course (Units 1-8)
- Integrate number, algebra, graphing, geometry, statistics, and probability skills
- Complete a comprehensive 50-question cumulative assessment
Worked example
Problem. A right triangle has legs 9 and 12. What is the length of the hypotenuse?
- Use the Pythagorean theorem: a^2 + b^2 = c^2.
- 9^2 + 12^2 = 81 + 144 = 225.
- c = sqrt(225) = 15.
- Connect the calculation back to Pre-Algebra Final Exam so the method, not just the arithmetic, is clear.
Answer: 15
Lesson preview: this page shows 5 practice items. The interactive activity contains 30 practice items and 40 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. Compute -5 + 12.
Show solution
- Different signs: 12 - 5 = 7.
Answer: 7
2. Compute 1/2 + 1/4.
Show solution
- Rewrite 1/2 as 2/4.
- 2/4 + 1/4 = 3/4.
Answer: 3/4
3. Find 10% of 70.
Show solution
- 10% is 0.10.
- 0.10 x 70 = 7.
Answer: 7
4. Evaluate 3^2.
Show solution
- 3^2 = 3 x 3.
- 3 x 3 = 9.
Answer: 9
5. Solve x - 6 = 10.
Show solution
- Add 6 to both sides.
- 10 + 6 = 16.
Answer: 16
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