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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 42

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 42
Name:Date:Score:    / 12

Solve.

  1. 10 + y = 40
  2. y + 11 = 23
  3. y − 1 = 25
  4. 24 + x = 38
  5. 12 + y = 34
  6. n − 2 = 17
  7. 30 + n = 37
  8. 13 + x = 24
  9. p + 12 = 33
  10. p + 14 = 29
  11. y + 30 = 45
  12. m − 1 = 5

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 42
Name:Date:Score:    / 12

Solve.

  1. p/7 = 5
  2. m/3 = 1
  3. 9x = 81
  4. 6p = 78
  5. y/6 = 3
  6. 9p = 90
  7. 9p = 117
  8. 7y = 49
  9. 9y = 81
  10. 7x = 63
  11. y/9 = 6
  12. 8x = 16

Two-step equations

Class 7 · Worksheet 3 · set 42
Name:Date:Score:    / 12

Solve.

  1. 9p − 4 = 86
  2. 3m + 16 = 25
  3. 7n − 6 = 78
  4. 7y + 5 = 19
  5. 4y − 5 = 39
  6. 9m + 14 = 23
  7. 3y − 6 = 18
  8. 8m − 20 = 20
  9. 8n − 9 = 87
  10. 6m − 3 = 21
  11. 9p + 6 = 15
  12. 8m + 13 = 101

Equations with brackets

Class 7–8 · Worksheet 4 · set 42
Name:Date:Score:    / 10

Solve.

  1. 4(y + 1) = 20
  2. 4(m + 3) = 20
  3. 6(n − 9) + 7 = 19
  4. 2(x + 8) = 20
  5. 3(y + 8) = 48
  6. 6(x − 9) + 15 = 3
  7. 6(n + 8) = 108
  8. 2(x + 9) = 30
  9. 2(n − 4) + 14 = 20
  10. 6(y − 1) + 4 = 64

Variables on both sides

Class 8 · Worksheet 5 · set 42
Name:Date:Score:    / 10

Solve.

  1. 3x + 19 = x + 11
  2. 6x − 19 = 5x − 16
  3. 5m − 8 = 2m + 19
  4. 7x + 19 = x + 61
  5. 4x − 20 = 3x − 23
  6. 3m − 12 = m − 28
  7. 9x − 18 = 2x + 45
  8. 6x + 2 = 4x + 18
  9. 8m − 6 = 5m − 18
  10. 5n − 15 = n + 9

Equation word problems

Class 7–8 · Worksheet 6 · set 42
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 57. Find the numbers.
  2. Ravi has ₹20 more than Asha. Together they have ₹310. How much money does Asha have?
  3. I think of a number, multiply it by 4 and add 3. The answer is 79. What is the number?
  4. The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. Find the length and the width.
  5. Ravi has ₹41 more than Asha. Together they have ₹441. How much money does Asha have?
  6. Ravi has ₹35 more than Asha. Together they have ₹185. 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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