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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 12

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 12
Name:Date:Score:    / 12

Solve.

  1. 22 + x = 37
  2. 27 + p = 53
  3. m − 3 = 1
  4. p + 4 = 25
  5. 2 + y = 29
  6. x + 3 = 25
  7. 5 + m = 33
  8. 20 + n = 47
  9. 6 + p = 18
  10. m + 28 = 56
  11. 16 + m = 44
  12. p + 21 = 26

One-step equations (× and ÷)

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

Solve.

  1. 4n = 36
  2. 3m = 24
  3. 8n = 80
  4. m/3 = 13
  5. 8p = 120
  6. m/8 = 13
  7. n/4 = 3
  8. x/9 = 9
  9. m/5 = 13
  10. y/9 = 2
  11. 6y = 54
  12. x/5 = 11

Two-step equations

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

Solve.

  1. 5y + 10 = 15
  2. 4n + 15 = 59
  3. 6x − 3 = 63
  4. 8x − 9 = 63
  5. 7x − 6 = 78
  6. 2n − 15 = 3
  7. 5y + 7 = 27
  8. 8n + 20 = 28
  9. 6x − 18 = 30
  10. 9x + 18 = 126
  11. 8n + 14 = 102
  12. 4m + 7 = 47

Equations with brackets

Class 7–8 · Worksheet 4 · set 12
Name:Date:Score:    / 10

Solve.

  1. 2(y + 7) = 26
  2. 4(n + 1) = 40
  3. 4(y − 9) + 4 = −20
  4. 4(m − 8) + 9 = 13
  5. 3(m − 6) + 9 = 21
  6. 2(m − 2) + 13 = 21
  7. 5(n + 9) = 55
  8. 2(n − 4) + 9 = 17
  9. 2(y + 9) = 36
  10. 2(m + 2) = 14

Variables on both sides

Class 8 · Worksheet 5 · set 12
Name:Date:Score:    / 10

Solve.

  1. 8y + 14 = y + 49
  2. 5n + 17 = 3n + 7
  3. 8n + 7 = 5n + 19
  4. 7n + 12 = 6n + 4
  5. 3m + 4 = 2m − 2
  6. 3n + 2 = n − 4
  7. 5y + 4 = 4y + 3
  8. 3m + 12 = m + 4
  9. 8x + 4 = 7x + 8
  10. 5x + 7 = 2x − 5

Equation word problems

Class 7–8 · Worksheet 6 · set 12
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹5 more than Asha. Together they have ₹385. How much money does Asha have?
  2. The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. Find the length and the width.
  3. A father is 5 times as old as his son. The sum of their ages is 36 years. Find their ages.
  4. A father is 4 times as old as his son. The sum of their ages is 35 years. Find their ages.
  5. Ravi has ₹21 more than Asha. Together they have ₹421. How much money does Asha have?
  6. The sum of two consecutive numbers is 29. Find the numbers.

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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.