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Solving systems by substitution

This classroom material helps 8th-grade students practice solving systems of equations using substitution by identifying the first steps, solving for one variable, and checking solutions through various example problems. It emphasizes understanding the method and verifying answers through guided exercises.

By Edform · Mathematics · Grade 8 · Published Oct 15, 2026 · New

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Questions

  1. What is the first step when solving a system of equations using the substitution method?
  2. Given the system: y = 2x + 1 and x + y = 7, what is the value of x in the solution?
  3. Which of the following are valid steps in solving the system: y = x - 4 and 2x + y = 10 using substitution?
  4. Solve the system by substitution: y = 3x and x + y = 16. What is the value of x?
  5. After finding x = 2 in a system, what should you do next to find the solution?
  6. Put the steps for solving a system by substitution in the correct order.
  7. Match each system to its solution.
  8. Fill in the blanks: If you substitute y = 2x into the equation x + y = 12, you get x + _ = _.
  9. Choose the correct word: When you substitute one equation into the other, you are ___ one variable.
  10. Decide if each statement about solving systems by substitution is true or false.

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