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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 52

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 52
Name:Date:Score:    / 12

Solve.

  1. n + 30 = 33
  2. 2 + y = 30
  3. m − 1 = 15
  4. p + 11 = 12
  5. y + 30 = 60
  6. n + 30 = 51
  7. y + 14 = 24
  8. y − 23 = 7
  9. 6 + p = 9
  10. p + 3 = 8
  11. 24 + x = 52
  12. 26 + m = 27

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 52
Name:Date:Score:    / 12

Solve.

  1. 6x = 12
  2. 9m = 90
  3. p/6 = 2
  4. 7x = 28
  5. 9m = 126
  6. x/7 = 6
  7. m/5 = 1
  8. x/6 = 6
  9. 9x = 27
  10. 4x = 56
  11. y/5 = 13
  12. 6x = 48

Two-step equations

Class 7 · Worksheet 3 · set 52
Name:Date:Score:    / 12

Solve.

  1. 7x + 17 = 73
  2. 3y − 17 = 16
  3. 3m − 8 = 25
  4. 8x + 16 = 40
  5. 2x − 3 = 21
  6. 4y − 10 = 14
  7. 8m − 15 = 25
  8. 5x − 6 = 34
  9. 4y + 6 = 30
  10. 3m − 7 = 23
  11. 4y − 6 = 34
  12. 8m − 11 = 29

Equations with brackets

Class 7–8 · Worksheet 4 · set 52
Name:Date:Score:    / 10

Solve.

  1. 4(x − 5) + 5 = 17
  2. 5(y − 1) + 2 = 7
  3. 6(m − 5) + 13 = 49
  4. 3(n − 8) + 8 = 17
  5. 5(m − 9) + 8 = −32
  6. 4(y + 3) = 60
  7. 4(x + 7) = 56
  8. 3(y + 2) = 36
  9. 6(m − 2) + 7 = 31
  10. 3(m − 7) + 11 = 23

Variables on both sides

Class 8 · Worksheet 5 · set 52
Name:Date:Score:    / 10

Solve.

  1. 9n + 4 = 7n + 8
  2. 8x − 2 = 3x + 18
  3. 5m + 8 = 3m + 2
  4. 9x + 13 = 2x − 22
  5. 5x + 6 = 2x − 12
  6. 9x − 18 = 7x − 22
  7. 3m − 16 = 2m − 8
  8. 4x − 1 = 3x + 4
  9. 7m + 2 = 4m + 11
  10. 7y − 11 = 5y − 1

Equation word problems

Class 7–8 · Worksheet 6 · set 52
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 84 cm. Find the length and the width.
  2. Ravi has ₹42 more than Asha. Together they have ₹392. How much money does Asha have?
  3. Ravi has ₹7 more than Asha. Together they have ₹371. How much money does Asha have?
  4. I think of a number, multiply it by 3 and add 13. The answer is 67. What is the number?
  5. The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. Find the length and the width.
  6. Ravi has ₹36 more than Asha. Together they have ₹258. How much money does Asha have?

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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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