Algebra I Cumulative Review
A free Algebra I lesson from the “Algebra I Review and Final Exam” unit, with a worked example and practice problems including step-by-step solutions.
This optional cumulative review revisits selected Algebra I skills through expressions, equations, inequalities, formulas, functions, linear relationships, systems, polynomials, and quadratics. It reuses some earlier questions and does not cover exponential relationships, sequences, or data analysis. Use it for extra practice and to find topics to revisit. Its score does not establish readiness or count toward course completion; the separate Algebra I Final Exam is the course-completion assessment.
What you'll learn
- Review expressions, equations, inequalities, formulas, functions, systems, polynomials, and quadratics
- Choose a method for mixed algebra practice and check the result
- Use mistakes to identify topics to revisit
Worked example
Problem. A line has slope 2 and passes through (3, 8). Write it in slope-intercept form.
- Use point-slope form: y - 8 = 2(x - 3).
- Distribute: y - 8 = 2x - 6.
- Add 8 to get y = 2x + 2.
Answer: y = 2x + 2
Lesson preview: this page shows 5 practice items. The interactive activity contains 40 practice items and 60 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. Simplify 3(2x - 5) + 4x.
Show solution
- Distribute first: 6x - 15.
- Combine 6x + 4x = 10x.
Answer: 10x - 15
2. Solve 4x - 9 = 31.
Show solution
- Add 9: 4x = 40.
- Divide by 4: x = 10.
Answer: 10
3. Solve -5x < 20. Enter the boundary number.
Show solution
- Divide by -5 and flip.
- x > -4.
Answer: -4
4. Solve A = lw for l.
Choices: l = A/w · l = Aw · l = w/A · l = A - w
Show solution
- Divide both sides by w.
Answer: l = A/w
5. Use d = rt. If d = 315 and t = 5, what is r?
Show solution
- r = d/t.
- 315/5 = 63.
Answer: 63
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