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🧩 6th grade math · Patterns & Algebra

One-step equations

x + 5 = 12: a tape of 12 is split into x and 5. So x = 12 − 5 = 7. 3x = 12: three equal boxes make 12, so each box is 12 ÷ 3 = 4. Check by putting it back.

Worked example

Solve: x + 10 = 11. What is x?
11x10
Answer: x = 1
x plus 10 makes 11. Undo the add: 11 − 10 = 1. Check: 1 + 10 = 11.

For grown-ups: One-step equations and inequalities. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 6.EE.B.5–8
What this practises, for teachers

Practices one-step equations and inequalities (6.EE.B.5–8). A printable sheet with its answer key, worked answers on the page, no accounts.

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For your class

🖨️ Printable sheet and key

On the board with this skill:

More printables, with answer keys, for this grade:

Try three

  1. Solve: x + 3 = 4. What is x?
    4x3
    Show the answer and how
    Answer: x = 1
    x plus 3 makes 4. Undo the add: 4 − 3 = 1. Check: 1 + 3 = 4.
  2. Solve: 5x = 40. What is x?
    40xxxxx
    Show the answer and how
    Answer: x = 8
    x times 5 makes 40. Undo the multiplying by dividing: 40 ÷ 5 = 8. Check: 5 × 8 = 40.
  3. Solve: x + 8 = 16. What is x?
    16x8
    Show the answer and how
    Answer: x = 8
    x plus 8 makes 16. Undo the add: 16 − 8 = 8. Check: 8 + 8 = 16.

Before and after

Learn first: Equal expressions (6th)

Comes next: Inputs and outputs in tables (6th), Two-step equations (7th)

Name: ____________________Date: ____________Score: ____ / 12

One-step equations (6th grade)

  1. Solve: x + 6 = 8. What is x?
    8x6
  2. Solve: x + 8 = 16. What is x?
    16x8
  3. Solve: x + 11 = 20. What is x?
    20x11
  4. Solve: x + 2 = 12. What is x?
    12x2
  5. Solve: 7x = 35. What is x?
    35xxxxxxx
  6. Solve: x + 3 = 7. What is x?
    7x3
  7. Solve: x + 10 = 18. What is x?
    18x10
  8. Solve: x + 4 = 9. What is x?
    9x4
  9. Solve: 4x = 24. What is x?
    24xxxx
  10. Solve: x + 10 = 13. What is x?
    13x10
  11. Solve: x + 10 = 21. What is x?
    21x10
  12. Solve: x + 7 = 14. What is x?
    14x7

Answer key

  1. x = 2
  2. x = 8
  3. x = 9
  4. x = 10
  5. x = 5
  6. x = 4
  7. x = 8
  8. x = 5
  9. x = 6
  10. x = 3
  11. x = 11
  12. x = 7

More 6th grade skills: all 6th grade math skills, or every grade at math skills.