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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 77

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 77
Name:Date:Score:    / 12

Solve.

  1. n + 15 = 42
  2. p − 7 = 17
  3. n + 5 = 6
  4. y − 2 = 15
  5. x + 9 = 32
  6. 27 + x = 49
  7. p + 22 = 29
  8. 30 + m = 52
  9. 27 + n = 53
  10. p + 29 = 33
  11. p + 29 = 51
  12. m + 9 = 28

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 77
Name:Date:Score:    / 12

Solve.

  1. 2x = 30
  2. 2p = 14
  3. m/2 = 9
  4. x/8 = 13
  5. n/9 = 2
  6. 5x = 35
  7. m/5 = 12
  8. 8n = 8
  9. 5x = 45
  10. 4y = 48
  11. 6y = 72
  12. 8y = 104

Two-step equations

Class 7 · Worksheet 3 · set 77
Name:Date:Score:    / 12

Solve.

  1. 4m − 5 = 35
  2. 9p − 2 = 25
  3. 3x + 13 = 37
  4. 6m + 3 = 69
  5. 8y + 5 = 21
  6. 4y − 14 = 6
  7. 8p + 14 = 110
  8. 8m − 3 = 5
  9. 4x − 9 = 15
  10. 6x + 17 = 35
  11. 5p + 8 = 13
  12. 4n − 13 = 3

Equations with brackets

Class 7–8 · Worksheet 4 · set 77
Name:Date:Score:    / 10

Solve.

  1. 3(n − 4) + 4 = 4
  2. 5(y − 3) + 12 = 32
  3. 5(x − 9) + 6 = 1
  4. 5(n − 4) + 6 = 26
  5. 6(n + 4) = 60
  6. 5(x + 6) = 55
  7. 5(n − 8) + 6 = −19
  8. 6(n − 4) + 14 = 2
  9. 2(m − 8) + 4 = −2
  10. 6(m + 8) = 90

Variables on both sides

Class 8 · Worksheet 5 · set 77
Name:Date:Score:    / 10

Solve.

  1. 6y − 16 = 2y − 24
  2. 8x − 4 = 7x + 3
  3. 3y − 1 = 2y + 1
  4. 9m + 20 = 2m + 83
  5. 9x + 5 = 3x − 7
  6. 6n − 20 = 3n − 44
  7. 6x + 4 = 3x − 2
  8. 7n + 19 = 6n + 13
  9. 9x − 13 = 3x − 1
  10. 4y + 15 = 2y + 33

Equation word problems

Class 7–8 · Worksheet 6 · set 77
Name:Date:Score:    / 6

Form an equation and solve.

  1. A father is 5 times as old as his son. The sum of their ages is 36 years. Find their ages.
  2. Ravi has ₹50 more than Asha. Together they have ₹220. How much money does Asha have?
  3. The sum of two consecutive numbers is 33. Find the numbers.
  4. The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. Find the length and the width.
  5. The sum of two consecutive numbers is 55. Find the numbers.
  6. Ravi has ₹30 more than Asha. Together they have ₹426. 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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