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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 13

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 13
Name:Date:Score:    / 12

Solve.

  1. 29 + y = 33
  2. 25 + m = 46
  3. 9 + x = 34
  4. n + 23 = 43
  5. y − 17 = 11
  6. 1 + p = 11
  7. 23 + p = 28
  8. p + 4 = 7
  9. y − 3 = 16
  10. 10 + p = 26
  11. m + 11 = 37
  12. 25 + y = 54

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 13
Name:Date:Score:    / 12

Solve.

  1. m/7 = 13
  2. 4p = 12
  3. 3p = 6
  4. x/4 = 6
  5. p/9 = 8
  6. x/8 = 2
  7. 3y = 39
  8. m/2 = 1
  9. m/8 = 15
  10. 4y = 32
  11. x/5 = 10
  12. 8n = 48

Two-step equations

Class 7 · Worksheet 3 · set 13
Name:Date:Score:    / 12

Solve.

  1. 6x − 18 = 54
  2. 2y − 1 = 3
  3. 7n − 18 = 24
  4. 5m + 6 = 61
  5. 8x − 10 = 86
  6. 3n + 2 = 23
  7. 8m + 19 = 43
  8. 8x − 15 = 49
  9. 5x + 3 = 23
  10. 4n + 14 = 54
  11. 2n + 1 = 5
  12. 9n − 2 = 34

Equations with brackets

Class 7–8 · Worksheet 4 · set 13
Name:Date:Score:    / 10

Solve.

  1. 2(n − 7) + 6 = 16
  2. 3(x − 7) + 7 = −8
  3. 2(y + 1) = 24
  4. 2(m + 7) = 38
  5. 2(n + 8) = 20
  6. 3(m + 5) = 42
  7. 5(y − 6) + 2 = −13
  8. 3(y + 6) = 48
  9. 5(m − 5) + 9 = 14
  10. 3(n + 4) = 36

Variables on both sides

Class 8 · Worksheet 5 · set 13
Name:Date:Score:    / 10

Solve.

  1. 6n + 10 = 4n − 2
  2. 5m + 5 = 2m + 17
  3. 8m + 5 = 5m − 22
  4. 7n − 13 = n + 41
  5. 8y + 1 = 6y + 15
  6. 5x + 16 = 4x + 24
  7. 8n + 5 = n − 37
  8. 3y − 5 = 2y + 2
  9. 9m + 6 = m + 38
  10. 7n + 12 = 3n + 48

Equation word problems

Class 7–8 · Worksheet 6 · set 13
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 53. Find the numbers.
  2. Ravi has ₹25 more than Asha. Together they have ₹297. How much money does Asha have?
  3. I think of a number, multiply it by 4 and add 1. The answer is 29. What is the number?
  4. A father is 3 times as old as his son. The sum of their ages is 32 years. Find their ages.
  5. The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. Find the length and the width.
  6. A father is 3 times as old as his son. The sum of their ages is 24 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).

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

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