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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 39

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 39
Name:Date:Score:    / 12

Solve.

  1. 27 + x = 45
  2. x − 24 = 6
  3. y − 10 = 4
  4. 13 + y = 32
  5. m + 19 = 34
  6. y + 13 = 41
  7. n + 27 = 57
  8. m − 16 = 10
  9. p + 19 = 40
  10. 15 + x = 27
  11. m − 20 = 8
  12. x + 7 = 31

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 39
Name:Date:Score:    / 12

Solve.

  1. y/4 = 1
  2. 8m = 16
  3. 4y = 44
  4. y/4 = 6
  5. 9x = 90
  6. 5p = 65
  7. p/6 = 9
  8. x/5 = 5
  9. 7y = 35
  10. 5m = 15
  11. x/7 = 3
  12. 2x = 22

Two-step equations

Class 7 · Worksheet 3 · set 39
Name:Date:Score:    / 12

Solve.

  1. 4m − 11 = 5
  2. 9x − 6 = 48
  3. 6y + 14 = 38
  4. 2x + 3 = 17
  5. 9x + 7 = 97
  6. 3m + 3 = 18
  7. 3n − 8 = 7
  8. 6y − 17 = 43
  9. 8m − 9 = 47
  10. 4p − 7 = 33
  11. 5x − 3 = 42
  12. 5m + 4 = 19

Equations with brackets

Class 7–8 · Worksheet 4 · set 39
Name:Date:Score:    / 10

Solve.

  1. 5(y − 3) + 13 = 8
  2. 5(m + 3) = 55
  3. 6(y + 7) = 108
  4. 2(y − 6) + 13 = 21
  5. 4(n − 7) + 8 = −16
  6. 2(y − 5) + 15 = 27
  7. 5(x − 6) + 10 = −15
  8. 5(y + 4) = 25
  9. 5(n + 2) = 55
  10. 2(x − 9) + 1 = 1

Variables on both sides

Class 8 · Worksheet 5 · set 39
Name:Date:Score:    / 10

Solve.

  1. 6y + 10 = 5y + 18
  2. 7m − 19 = 4m − 46
  3. 6m − 20 = 3m − 8
  4. 9n + 16 = n + 64
  5. 7y + 3 = 6y + 4
  6. 3n + 13 = 2n + 18
  7. 4y + 6 = 3y + 9
  8. 5m + 6 = m − 2
  9. 3x − 4 = 2x + 5
  10. 3y + 7 = y + 21

Equation word problems

Class 7–8 · Worksheet 6 · set 39
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 41. Find the numbers.
  2. Ravi has ₹22 more than Asha. Together they have ₹146. How much money does Asha have?
  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 3 times as old as his son. The sum of their ages is 24 years. Find their ages.
  5. The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. Find the length and the width.
  6. The length of a rectangle is 6 cm more than its width. Its perimeter is 56 cm. Find the length and the width.

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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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