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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 27

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 27
Name:Date:Score:    / 12

Solve.

  1. 8 + m = 30
  2. 13 + x = 17
  3. m + 10 = 28
  4. 18 + y = 28
  5. y + 2 = 25
  6. p − 18 = 6
  7. 13 + y = 38
  8. m − 7 = 14
  9. m + 21 = 30
  10. 11 + n = 20
  11. 24 + p = 53
  12. 17 + y = 20

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 27
Name:Date:Score:    / 12

Solve.

  1. 7x = 105
  2. 2p = 28
  3. 4p = 24
  4. 6m = 72
  5. 9y = 108
  6. x/4 = 7
  7. 7y = 77
  8. n/7 = 14
  9. n/4 = 14
  10. 7m = 49
  11. 7n = 84
  12. p/2 = 14

Two-step equations

Class 7 · Worksheet 3 · set 27
Name:Date:Score:    / 12

Solve.

  1. 5x + 5 = 65
  2. 3m + 19 = 22
  3. 9x − 17 = 37
  4. 3n + 3 = 15
  5. 3p − 2 = 10
  6. 5m + 5 = 30
  7. 8p − 6 = 18
  8. 4y + 1 = 5
  9. 8x − 2 = 22
  10. 2m + 13 = 15
  11. 2m + 11 = 17
  12. 9y + 15 = 87

Equations with brackets

Class 7–8 · Worksheet 4 · set 27
Name:Date:Score:    / 10

Solve.

  1. 5(x + 1) = 25
  2. 2(m + 4) = 10
  3. 3(x + 3) = 45
  4. 5(n + 2) = 65
  5. 6(x − 7) + 7 = −5
  6. 4(x + 1) = 28
  7. 3(y − 8) + 11 = 17
  8. 2(m + 1) = 12
  9. 6(m + 2) = 48
  10. 3(m + 5) = 45

Variables on both sides

Class 8 · Worksheet 5 · set 27
Name:Date:Score:    / 10

Solve.

  1. 8n + 9 = 7n + 2
  2. 6x + 8 = 2x
  3. 5m + 9 = 2m + 24
  4. 5m + 3 = m + 27
  5. 8n − 1 = 4n − 17
  6. 3x + 8 = x + 26
  7. 4x + 5 = x + 29
  8. 7x − 8 = 5x − 10
  9. 5x − 18 = x − 42
  10. 8m + 10 = 3m − 20

Equation word problems

Class 7–8 · Worksheet 6 · set 27
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹20 more than Asha. Together they have ₹330. How much money does Asha have?
  2. The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. Find the length and the width.
  3. I think of a number, multiply it by 4 and add 8. The answer is 16. What is the number?
  4. A father is 4 times as old as his son. The sum of their ages is 45 years. Find their ages.
  5. A father is 4 times as old as his son. The sum of their ages is 50 years. Find their ages.
  6. A father is 5 times as old as his son. The sum of their ages is 48 years. Find their ages.

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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).

How do I print only one worksheet?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

Can my child do this worksheet online, like a quiz?

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.