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Algebra I Final Exam

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 60-question cumulative assessment samples all seven instructional units: foundations, functions and lines, systems, polynomials, quadratics, exponentials and sequences, and data. Its questions are separate from the practice bank. A score reports performance on this sample; it does not by itself certify readiness for a particular school's next course.

What you'll learn

Why it matters: Algebra I assessments mix symbolic fluency with modeling, graph interpretation, and strategy choice so students practice the same switching they need on cumulative tests.

Worked example

Problem. Worked example from Expressions and Properties: In 9x - 4, what is the coefficient of x?

  1. The coefficient is the number multiplying the variable.
  2. In 9x, the coefficient is 9.
  3. Connect the result back to Algebra I Final Exam so the method and meaning are both clear.
  4. Check the result against the original representation before writing the final answer.

Answer: 9

Lesson preview: this page shows 5 practice items. The interactive activity contains 30 practice items and 60 quiz items (multiple choice and typed response). Counts include repeated prompts and variants.

Practice problems

1. Algebra I Final Exam review case A from Expressions and Properties: In 9x - 4, what is the coefficient of x?

Choices: 9 · x · -4 · 5

Show solution
  1. The coefficient is the number multiplying the variable.
  2. In 9x, the coefficient is 9.

Answer: 9

2. Algebra I Final Exam review case B from Expressions and Properties: Simplify 4x + 7x.

Show solution
  1. Both terms are like terms.
  2. Add the coefficients: 4 + 7 = 11.

Answer: 11x

3. Algebra I Final Exam review case C from Expressions and Properties: Simplify 12 - 5 + 3x.

Show solution
  1. Combine constants: 12 - 5 = 7.
  2. The variable term stays 3x.

Answer: 3x + 7

4. Algebra I Final Exam review case D from Expressions and Properties: Simplify 2(x + 5).

Show solution
  1. Distribute 2 to each term.
  2. 2 times x is 2x and 2 times 5 is 10.

Answer: 2x + 10

5. Algebra I Final Exam review case E from Expressions and Properties: Simplify 5(2x - 3).

Show solution
  1. Distribute 5.
  2. 5 times 2x is 10x and 5 times -3 is -15.

Answer: 10x - 15

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