Skip to the content
Peabody TeachFor teachers and grown-ups

Multi-step equations: 8th grade math

Multi-step linear equations; no / one / infinitely many solutions. A free 8th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: multi-step linear equations; no / one / infinitely many solutions.

Teach (10 min)

  • To find x, undo what was done to it. Do the same thing to both sides to keep them equal.
  • 3x + 5 = 20. Take 5 from both sides: 3x = 15. Divide both sides by 3: x = 5.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/lineq.oneVar?lesson=8-lineq-onevar-1&at=8

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. Solve for x: 2x = 4.
  • 2. Solve for x: 3x = 9.
  • 3. Solve for x: 7x = 42.

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. Solve for x: 2x = 4.
  2. Solve for x: 3x = 9.
  3. Solve for x: 7x = 42.
  4. Solve for x: x − 2 = 1.
  5. Solve for x: 3x = 21.
  6. Solve for x: 6x − 9 = 45.
  7. Solve for x: −7 + 2x = 5.
  8. Solve for x: 7 + 3x = 34.
  9. Solve for x: 7x − 4 = 10.
  10. Solve for x: 4 + 3x = 31.
Answers
  1. x = 2
  2. x = 3
  3. x = 6
  4. x = 3
  5. x = 7
  6. x = 9
  7. x = 6
  8. x = 9
  9. x = 2
  10. x = 9

Printable sheet

Name: ____________________   Date: ____________

Multi-step equations (8th grade)

  1. Solve for x: 7x = 7.
  2. Solve for x: 6 + x = 10.
  3. Solve for x: 4x = 20.
  4. Solve for x: 3x + 1 = 31.
  5. Solve for x: 2x − 6 = 12.
  6. Solve for x: 5x + 6 = 16.
  7. Solve for x: 4x + 3 = 23.
  8. Solve for x: 4x − 12 = 12.
  9. Solve for x: 3x − 11 = −2.
  10. Solve for x: 5x + 6 = 1.
  11. Solve for x: −4 + 8x = 28.
  12. Solve for x: −2x + 8 = −10.
Key
  1. x = 1
  2. x = 4
  3. x = 5
  4. x = 10
  5. x = 9
  6. x = 2
  7. x = 5
  8. x = 6
  9. x = 3
  10. x = -1
  11. x = 4
  12. x = 9

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.