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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 17

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 17
Name:Date:Score:    / 12

Solve.

  1. 16 + y = 17
  2. 27 + y = 57
  3. y + 18 = 23
  4. y − 14 = 14
  5. 16 + p = 40
  6. n + 11 = 18
  7. y + 21 = 24
  8. p − 1 = 17
  9. m − 10 = 2
  10. p + 28 = 52
  11. 9 + p = 16
  12. y + 17 = 43

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 17
Name:Date:Score:    / 12

Solve.

  1. 4m = 12
  2. p/3 = 3
  3. m/5 = 5
  4. y/4 = 9
  5. 3n = 6
  6. 9x = 135
  7. 4n = 12
  8. 7y = 63
  9. 8y = 32
  10. y/5 = 9
  11. 3m = 42
  12. x/9 = 8

Two-step equations

Class 7 · Worksheet 3 · set 17
Name:Date:Score:    / 12

Solve.

  1. 2p − 19 = 3
  2. 9n + 5 = 41
  3. 4y + 9 = 13
  4. 3x − 13 = 23
  5. 4n − 7 = 1
  6. 8p + 19 = 67
  7. 3p − 8 = 1
  8. 8y − 5 = 11
  9. 7x + 17 = 73
  10. 6y + 12 = 72
  11. 4y + 6 = 14
  12. 2y − 12 = 8

Equations with brackets

Class 7–8 · Worksheet 4 · set 17
Name:Date:Score:    / 10

Solve.

  1. 3(n + 7) = 54
  2. 4(m − 6) + 5 = 5
  3. 5(x − 1) + 13 = 63
  4. 5(n − 5) + 10 = 35
  5. 5(n − 9) + 3 = 3
  6. 2(y − 4) + 11 = 5
  7. 3(n + 4) = 15
  8. 3(n − 4) + 14 = 14
  9. 6(y + 2) = 30
  10. 6(y − 5) + 8 = −10

Variables on both sides

Class 8 · Worksheet 5 · set 17
Name:Date:Score:    / 10

Solve.

  1. 4n − 14 = 3n − 11
  2. 5m + 6 = m + 38
  3. 4n − 15 = 3n − 22
  4. 6y + 3 = 5y − 6
  5. 8n − 17 = 3n + 23
  6. 6x − 19 = 2x + 5
  7. 5m − 12 = 3m − 4
  8. 6y + 7 = 4y + 13
  9. 3n + 15 = 2n + 21
  10. 5n − 19 = 4n − 24

Equation word problems

Class 7–8 · Worksheet 6 · set 17
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹41 more than Asha. Together they have ₹113. How much money does Asha have?
  2. A father is 3 times as old as his son. The sum of their ages is 36 years. Find their ages.
  3. The sum of two consecutive numbers is 23. Find the numbers.
  4. A father is 3 times as old as his son. The sum of their ages is 60 years. Find their ages.
  5. The sum of two consecutive numbers is 21. Find the numbers.
  6. A father is 4 times as old as his son. The sum of their ages is 30 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).

How do I print only one worksheet?

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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.