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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 48

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 48
Name:Date:Score:    / 12

Solve.

  1. 3 + m = 32
  2. p − 13 = 13
  3. 4 + y = 28
  4. x − 16 = 1
  5. p + 24 = 51
  6. p + 2 = 18
  7. y + 18 = 34
  8. m − 3 = 23
  9. p + 20 = 38
  10. 20 + x = 32
  11. m − 9 = 1
  12. 10 + y = 15

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 48
Name:Date:Score:    / 12

Solve.

  1. 3p = 39
  2. 3n = 36
  3. y/5 = 7
  4. 4p = 20
  5. n/4 = 14
  6. x/7 = 15
  7. p/8 = 11
  8. 9m = 9
  9. p/2 = 2
  10. n/3 = 11
  11. m/5 = 6
  12. 8y = 16

Two-step equations

Class 7 · Worksheet 3 · set 48
Name:Date:Score:    / 12

Solve.

  1. 3n − 16 = 5
  2. 7n − 2 = 68
  3. 2x − 15 = 5
  4. 5y + 12 = 52
  5. 8m − 9 = 39
  6. 9n + 20 = 47
  7. 6n − 17 = 25
  8. 3y − 4 = 23
  9. 9y − 18 = 81
  10. 3n − 15 = 3
  11. 2n − 19 = 3
  12. 9p − 12 = 33

Equations with brackets

Class 7–8 · Worksheet 4 · set 48
Name:Date:Score:    / 10

Solve.

  1. 6(y − 5) + 4 = 10
  2. 4(x − 4) + 10 = 22
  3. 2(x − 7) + 11 = 9
  4. 2(y + 1) = 4
  5. 3(x − 2) + 14 = 32
  6. 3(m − 8) + 11 = 8
  7. 2(x − 6) + 6 = 2
  8. 3(n − 2) + 10 = 40
  9. 5(n − 7) + 15 = 5
  10. 2(x − 1) + 7 = 15

Variables on both sides

Class 8 · Worksheet 5 · set 48
Name:Date:Score:    / 10

Solve.

  1. 9x − 8 = x + 48
  2. 9y − 4 = 5y − 24
  3. 3m + 8 = 2m + 17
  4. 6m + 5 = 3m − 4
  5. 3x + 8 = 2x + 3
  6. 9x + 1 = 6x + 10
  7. 5n + 2 = 2n − 4
  8. 5n + 13 = 2n + 10
  9. 9x − 2 = x − 58
  10. 3x + 13 = x + 7

Equation word problems

Class 7–8 · Worksheet 6 · set 48
Name:Date:Score:    / 6

Form an equation and solve.

  1. The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. Find the length and the width.
  2. The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. Find the length and the width.
  3. The sum of two consecutive numbers is 53. Find the numbers.
  4. I think of a number, multiply it by 4 and add 10. The answer is 38. What is the number?
  5. A father is 3 times as old as his son. The sum of their ages is 60 years. Find their ages.
  6. I think of a number, multiply it by 6 and add 19. The answer is 79. What is the number?

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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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