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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 16

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 16
Name:Date:Score:    / 12

Solve.

  1. x + 2 = 25
  2. 7 + n = 22
  3. y − 13 = 16
  4. 25 + x = 46
  5. 19 + p = 42
  6. m − 2 = 21
  7. m − 5 = 22
  8. 7 + p = 33
  9. n − 6 = 24
  10. 26 + m = 32
  11. n + 16 = 26
  12. x − 10 = 11

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 16
Name:Date:Score:    / 12

Solve.

  1. 4x = 60
  2. 9y = 117
  3. 3m = 15
  4. 9y = 27
  5. y/9 = 9
  6. 6y = 18
  7. 4p = 52
  8. p/7 = 4
  9. p/2 = 13
  10. n/7 = 7
  11. 8y = 16
  12. 7x = 84

Two-step equations

Class 7 · Worksheet 3 · set 16
Name:Date:Score:    / 12

Solve.

  1. 5n − 16 = 24
  2. 4n − 3 = 33
  3. 5n − 15 = 40
  4. 3p + 7 = 16
  5. 2x + 3 = 9
  6. 3x + 1 = 37
  7. 3m + 17 = 20
  8. 9x + 1 = 37
  9. 2n + 2 = 8
  10. 2n − 6 = 8
  11. 7n − 9 = 33
  12. 6n + 4 = 40

Equations with brackets

Class 7–8 · Worksheet 4 · set 16
Name:Date:Score:    / 10

Solve.

  1. 6(y − 1) + 12 = 60
  2. 4(x + 4) = 64
  3. 2(x − 6) + 13 = 15
  4. 2(m + 8) = 30
  5. 2(m + 8) = 22
  6. 6(n − 6) + 13 = 7
  7. 5(n − 5) + 1 = −19
  8. 5(n − 6) + 8 = 3
  9. 5(n − 7) + 11 = −19
  10. 6(y + 2) = 66

Variables on both sides

Class 8 · Worksheet 5 · set 16
Name:Date:Score:    / 10

Solve.

  1. 6n − 18 = 5n − 21
  2. 8x + 18 = 7x + 11
  3. 6x + 18 = 4x + 36
  4. 3m + 17 = 2m + 16
  5. 3m − 17 = 2m − 9
  6. 8y + 5 = y − 2
  7. 9y + 15 = 7y + 11
  8. 8n − 19 = n + 30
  9. 5y − 9 = 4y
  10. 9m + 6 = 2m + 20

Equation word problems

Class 7–8 · Worksheet 6 · set 16
Name:Date:Score:    / 6

Form an equation and solve.

  1. I think of a number, multiply it by 3 and add 2. The answer is 35. What is the number?
  2. Ravi has ₹31 more than Asha. Together they have ₹161. How much money does Asha have?
  3. The length of a rectangle is 9 cm more than its width. Its perimeter is 78 cm. Find the length and the width.
  4. I think of a number, multiply it by 5 and add 10. The answer is 70. What is the number?
  5. The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. Find the length and the width.
  6. The length of a rectangle is 10 cm more than its width. Its perimeter is 76 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).

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.