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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 26

Linear equations worksheets — simple equations, Class 6 to 8

Free linear equations in one variable worksheets: one-step and two-step simple equations (Class 6–7), variables on both sides and brackets (Class 8), and word problems — with answers.

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One-step equations (+ and −) (Class 6)One-step equations (× and ÷) (Class 6–7)Two-step equations (Class 7)Equations with brackets (Class 7–8)Variables on both sides (Class 8)Equation word problems (Class 7–8)

One-step equations (+ and −)

Class 6 · Worksheet 1 · set 26
Name:Date:Score:    / 12

Solve.

  1. y + 12 = 36
  2. n + 21 = 44
  3. y − 5 = 11
  4. n + 3 = 9
  5. p + 10 = 18
  6. 11 + n = 32
  7. 18 + m = 37
  8. x − 16 = 5
  9. 17 + y = 26
  10. 23 + m = 39
  11. p − 6 = 14
  12. 7 + n = 13

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 26
Name:Date:Score:    / 12

Solve.

  1. y/8 = 7
  2. m/3 = 11
  3. 9x = 81
  4. p/2 = 6
  5. 4x = 56
  6. 8x = 40
  7. 2p = 8
  8. 3x = 3
  9. p/6 = 12
  10. x/6 = 6
  11. m/8 = 2
  12. x/2 = 11

Two-step equations

Class 7 · Worksheet 3 · set 26
Name:Date:Score:    / 12

Solve.

  1. 7x − 2 = 5
  2. 5m + 13 = 53
  3. 5p + 6 = 31
  4. 5n + 3 = 33
  5. 3n − 19 = 2
  6. 9p + 10 = 28
  7. 2n + 11 = 33
  8. 8y + 9 = 25
  9. 2m + 14 = 24
  10. 5m + 6 = 26
  11. 6x − 3 = 27
  12. 4n + 4 = 44

Equations with brackets

Class 7–8 · Worksheet 4 · set 26
Name:Date:Score:    / 10

Solve.

  1. 6(y − 2) + 1 = 49
  2. 5(x + 3) = 35
  3. 6(m − 6) + 6 = −18
  4. 5(y − 1) + 14 = 49
  5. 4(m − 3) + 6 = 2
  6. 4(y − 3) + 15 = 27
  7. 4(y − 5) + 8 = 28
  8. 6(m + 1) = 66
  9. 4(n + 7) = 32
  10. 4(n + 3) = 20

Variables on both sides

Class 8 · Worksheet 5 · set 26
Name:Date:Score:    / 10

Solve.

  1. 7m − 13 = 2m − 8
  2. 5m − 15 = 2m
  3. 4y − 12 = 2y − 14
  4. 7x − 20 = 6x − 22
  5. 9x − 1 = 6x + 8
  6. 5y + 20 = y + 44
  7. 8m + 8 = 4m + 28
  8. 5m + 20 = 3m + 28
  9. 8y + 13 = 4y − 3
  10. 3m − 14 = 2m − 8

Equation word problems

Class 7–8 · Worksheet 6 · set 26
Name:Date:Score:    / 6

Form an equation and solve.

  1. The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. Find the length and the width.
  2. The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. Find the length and the width.
  3. The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. Find the length and the width.
  4. The sum of two consecutive numbers is 79. Find the numbers.
  5. A father is 3 times as old as his son. The sum of their ages is 32 years. Find their ages.
  6. A father is 3 times as old as his son. The sum of their ages is 48 years. Find their ages.

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Questions

What is a linear equation in one variable?

An equation with one letter whose highest power is 1, such as 3x + 4 = 19. It has exactly one solution.

How do I solve word problems on simple equations?

Call the unknown x, write the sentence as an equation (“3 times a number plus 5 is 26” → 3x + 5 = 26), solve it, then check the answer in the story.

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

How do I get different questions?

Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).

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Can my child do this worksheet online, like a quiz?

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