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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 11

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 11
Name:Date:Score:    / 12

Solve.

  1. 8 + p = 37
  2. n + 18 = 41
  3. 7 + n = 32
  4. p + 17 = 30
  5. m + 1 = 22
  6. x − 5 = 1
  7. 16 + p = 20
  8. 22 + p = 30
  9. x + 8 = 14
  10. p + 23 = 26
  11. y + 3 = 27
  12. n + 10 = 34

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 11
Name:Date:Score:    / 12

Solve.

  1. 4x = 20
  2. n/2 = 15
  3. 6m = 12
  4. y/9 = 5
  5. 9p = 90
  6. n/8 = 12
  7. x/9 = 3
  8. 4p = 8
  9. 8n = 48
  10. 4p = 44
  11. 8p = 48
  12. p/2 = 14

Two-step equations

Class 7 · Worksheet 3 · set 11
Name:Date:Score:    / 12

Solve.

  1. 5n + 14 = 19
  2. 3p + 2 = 35
  3. 3p + 9 = 18
  4. 9p − 7 = 38
  5. 7y − 4 = 66
  6. 2p + 6 = 22
  7. 7p − 5 = 51
  8. 3m + 11 = 29
  9. 5x − 8 = 7
  10. 7x + 12 = 61
  11. 7p − 12 = 65
  12. 4x + 11 = 59

Equations with brackets

Class 7–8 · Worksheet 4 · set 11
Name:Date:Score:    / 10

Solve.

  1. 4(x + 7) = 36
  2. 6(x + 2) = 54
  3. 5(m − 4) + 9 = 24
  4. 2(x + 2) = 20
  5. 2(y − 3) + 1 = 17
  6. 3(x − 5) + 10 = 28
  7. 5(m − 9) + 1 = 16
  8. 6(m − 3) + 11 = 23
  9. 6(n + 6) = 84
  10. 5(m + 3) = 45

Variables on both sides

Class 8 · Worksheet 5 · set 11
Name:Date:Score:    / 10

Solve.

  1. 6x − 6 = 3x + 15
  2. 9n + 8 = 2n − 13
  3. 8x + 12 = 3x − 28
  4. 4m − 10 = 2m − 12
  5. 8m − 15 = 3m − 30
  6. 8n + 5 = 7n + 10
  7. 7m + 19 = 5m + 27
  8. 8y − 15 = 7y − 17
  9. 4m − 20 = m − 17
  10. 9n − 16 = 4n − 36

Equation word problems

Class 7–8 · Worksheet 6 · set 11
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹50 more than Asha. Together they have ₹90. How much money does Asha have?
  2. The sum of two consecutive numbers is 97. Find the numbers.
  3. The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. Find the length and the width.
  4. The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. Find the length and the width.
  5. Ravi has ₹47 more than Asha. Together they have ₹137. How much money does Asha have?
  6. I think of a number, multiply it by 3 and add 17. The answer is 47. 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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