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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 40

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 40
Name:Date:Score:    / 12

Solve.

  1. 5 + p = 23
  2. 18 + p = 19
  3. 8 + p = 35
  4. m − 10 = 17
  5. y + 10 = 22
  6. x + 14 = 26
  7. m − 1 = 24
  8. x − 19 = 8
  9. y + 20 = 38
  10. 24 + y = 54
  11. 7 + n = 13
  12. y + 22 = 46

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 40
Name:Date:Score:    / 12

Solve.

  1. n/3 = 9
  2. n/8 = 13
  3. m/4 = 2
  4. p/8 = 11
  5. m/5 = 15
  6. 2x = 24
  7. 5p = 70
  8. 2y = 20
  9. y/3 = 2
  10. x/5 = 4
  11. y/2 = 10
  12. n/8 = 8

Two-step equations

Class 7 · Worksheet 3 · set 40
Name:Date:Score:    / 12

Solve.

  1. 4n + 16 = 20
  2. 3m + 4 = 16
  3. 4x + 18 = 58
  4. 2x − 5 = 11
  5. 4n − 15 = 13
  6. 2x − 1 = 5
  7. 2y + 12 = 24
  8. 8p + 10 = 98
  9. 9n − 12 = 51
  10. 4p − 1 = 3
  11. 5m + 13 = 38
  12. 4m + 15 = 39

Equations with brackets

Class 7–8 · Worksheet 4 · set 40
Name:Date:Score:    / 10

Solve.

  1. 2(m + 1) = 20
  2. 5(y − 4) + 9 = 29
  3. 4(y − 4) + 13 = 37
  4. 4(y + 2) = 20
  5. 5(m + 3) = 20
  6. 6(y − 4) + 4 = 16
  7. 3(x − 9) + 7 = 10
  8. 6(x + 1) = 60
  9. 6(n − 4) + 1 = 13
  10. 5(n + 2) = 70

Variables on both sides

Class 8 · Worksheet 5 · set 40
Name:Date:Score:    / 10

Solve.

  1. 3x + 10 = 2x + 18
  2. 7y + 7 = 5y + 1
  3. 7x + 6 = x
  4. 3y − 19 = 2y − 28
  5. 5m − 9 = 2m + 12
  6. 7x + 20 = 6x + 21
  7. 5y + 5 = 4y + 9
  8. 3n − 18 = n − 2
  9. 5x − 4 = x − 28
  10. 8x + 2 = 2x − 22

Equation word problems

Class 7–8 · Worksheet 6 · set 40
Name:Date:Score:    / 6

Form an equation and solve.

  1. A father is 5 times as old as his son. The sum of their ages is 60 years. Find their ages.
  2. A father is 4 times as old as his son. The sum of their ages is 60 years. Find their ages.
  3. I think of a number, multiply it by 2 and add 8. The answer is 32. What is the number?
  4. I think of a number, multiply it by 4 and add 6. The answer is 38. What is the number?
  5. A father is 5 times as old as his son. The sum of their ages is 54 years. Find their ages.
  6. Ravi has ₹21 more than Asha. Together they have ₹91. How much money does Asha have?

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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?

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.