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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 4

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 4
Name:Date:Score:    / 12

Solve.

  1. 28 + y = 50
  2. 26 + x = 51
  3. y − 1 = 4
  4. x − 24 = 5
  5. 19 + p = 22
  6. 23 + p = 32
  7. 27 + x = 56
  8. 14 + y = 39
  9. 13 + x = 15
  10. n − 10 = 18
  11. 8 + n = 14
  12. 14 + y = 38

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 4
Name:Date:Score:    / 12

Solve.

  1. 3n = 42
  2. 7x = 35
  3. m/9 = 2
  4. 8y = 16
  5. y/4 = 1
  6. m/9 = 10
  7. 7m = 77
  8. 6p = 84
  9. 7x = 105
  10. 9n = 99
  11. 9m = 90
  12. n/3 = 12

Two-step equations

Class 7 · Worksheet 3 · set 4
Name:Date:Score:    / 12

Solve.

  1. 2y − 4 = 8
  2. 6p − 1 = 65
  3. 6y − 14 = 10
  4. 6y − 20 = 46
  5. 4p + 9 = 25
  6. 7n − 10 = 60
  7. 2p − 17 = 3
  8. 5p − 10 = 30
  9. 8p − 16 = 32
  10. 5x − 11 = 44
  11. 6n + 13 = 79
  12. 4p − 10 = 14

Equations with brackets

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

Solve.

  1. 4(y + 5) = 36
  2. 6(x − 6) + 4 = 28
  3. 2(n + 2) = 6
  4. 5(y − 5) + 9 = 34
  5. 3(y + 6) = 45
  6. 4(n + 5) = 68
  7. 6(n − 4) + 7 = 19
  8. 6(n − 1) + 6 = 24
  9. 4(m − 7) + 2 = 2
  10. 5(x + 2) = 45

Variables on both sides

Class 8 · Worksheet 5 · set 4
Name:Date:Score:    / 10

Solve.

  1. 4n − 13 = 2n − 25
  2. 3m + 5 = m + 1
  3. 7n + 6 = 3n + 18
  4. 4n + 17 = n + 8
  5. 3n + 20 = 2n + 23
  6. 7m − 6 = m + 36
  7. 3n + 6 = n + 10
  8. 9y − 7 = 2y − 63
  9. 3x − 20 = 2x − 19
  10. 3y − 13 = 2y − 16

Equation word problems

Class 7–8 · Worksheet 6 · set 4
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹22 more than Asha. Together they have ₹376. How much money does Asha have?
  2. A father is 4 times as old as his son. The sum of their ages is 40 years. Find their ages.
  3. The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. Find the length and the width.
  4. I think of a number, multiply it by 6 and add 3. The answer is 63. What is the number?
  5. Ravi has ₹17 more than Asha. Together they have ₹237. How much money does Asha have?
  6. A father is 4 times as old as his son. The sum of their ages is 70 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?

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.