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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 15

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 15
Name:Date:Score:    / 12

Solve.

  1. y + 11 = 33
  2. x + 30 = 33
  3. 30 + y = 54
  4. 23 + m = 39
  5. n − 4 = 25
  6. x + 14 = 21
  7. y + 18 = 47
  8. x + 13 = 23
  9. n + 30 = 40
  10. 17 + p = 39
  11. 24 + x = 25
  12. 8 + y = 30

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 15
Name:Date:Score:    / 12

Solve.

  1. p/4 = 12
  2. 8m = 80
  3. m/7 = 14
  4. m/4 = 6
  5. x/5 = 12
  6. 6m = 78
  7. 9x = 9
  8. 9x = 63
  9. 7p = 84
  10. 2n = 2
  11. 8p = 8
  12. p/3 = 12

Two-step equations

Class 7 · Worksheet 3 · set 15
Name:Date:Score:    / 12

Solve.

  1. 7m − 11 = 38
  2. 2n − 6 = 18
  3. 3p + 2 = 35
  4. 7x − 12 = 30
  5. 6x + 11 = 41
  6. 9n − 11 = 97
  7. 7n − 2 = 68
  8. 2x − 1 = 17
  9. 4n + 3 = 39
  10. 9x − 20 = 7
  11. 7p − 19 = 51
  12. 6y − 11 = 43

Equations with brackets

Class 7–8 · Worksheet 4 · set 15
Name:Date:Score:    / 10

Solve.

  1. 3(y + 4) = 39
  2. 4(n + 9) = 48
  3. 5(n − 6) + 11 = 31
  4. 5(y − 6) + 12 = 12
  5. 4(n − 8) + 11 = 11
  6. 4(n − 4) + 2 = 34
  7. 3(x − 4) + 13 = 16
  8. 5(n − 2) + 10 = 5
  9. 5(n + 8) = 100
  10. 3(n − 9) + 5 = 11

Variables on both sides

Class 8 · Worksheet 5 · set 15
Name:Date:Score:    / 10

Solve.

  1. 5y + 7 = 3y − 9
  2. 5n − 17 = 2n − 5
  3. 4x + 14 = 3x + 9
  4. 4n + 1 = 3n + 6
  5. 6n − 18 = 5n − 23
  6. 5y − 6 = y + 18
  7. 3x + 4 = 2x
  8. 9m − 11 = 2m + 31
  9. 9y + 12 = 6y − 15
  10. 9n + 6 = 7n − 4

Equation word problems

Class 7–8 · Worksheet 6 · set 15
Name:Date:Score:    / 6

Form an equation and solve.

  1. The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. Find the length and the width.
  2. The sum of two consecutive numbers is 47. Find the numbers.
  3. The length of a rectangle is 10 cm more than its width. Its perimeter is 76 cm. Find the length and the width.
  4. The sum of two consecutive numbers is 49. Find the numbers.
  5. Ravi has ₹5 more than Asha. Together they have ₹293. How much money does Asha have?
  6. The sum of two consecutive numbers is 105. 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.