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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 10

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 10
Name:Date:Score:    / 12

Solve.

  1. y + 9 = 38
  2. 18 + p = 47
  3. m + 4 = 21
  4. p + 22 = 38
  5. m + 28 = 57
  6. y − 7 = 15
  7. 11 + m = 13
  8. 29 + x = 32
  9. x + 12 = 35
  10. 25 + x = 50
  11. 13 + n = 28
  12. m + 23 = 40

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 10
Name:Date:Score:    / 12

Solve.

  1. m/9 = 7
  2. 7y = 56
  3. m/3 = 1
  4. y/7 = 2
  5. 6m = 72
  6. 3x = 45
  7. x/8 = 9
  8. n/9 = 4
  9. 3p = 33
  10. 8x = 104
  11. 3y = 3
  12. 2p = 16

Two-step equations

Class 7 · Worksheet 3 · set 10
Name:Date:Score:    / 12

Solve.

  1. 4y − 8 = 4
  2. 8p + 4 = 20
  3. 2x + 12 = 20
  4. 4m + 3 = 11
  5. 9n + 17 = 125
  6. 8m − 3 = 21
  7. 4n − 7 = 5
  8. 9n − 3 = 33
  9. 9m − 9 = 63
  10. 4x + 14 = 42
  11. 9m − 13 = 23
  12. 8m + 17 = 97

Equations with brackets

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

Solve.

  1. 6(x − 6) + 7 = 1
  2. 4(m − 5) + 12 = −4
  3. 5(m + 9) = 55
  4. 2(n − 2) + 13 = 11
  5. 6(y − 2) + 2 = 2
  6. 5(m + 4) = 50
  7. 3(m − 7) + 9 = 18
  8. 3(y − 4) + 3 = 18
  9. 6(n − 9) + 6 = 24
  10. 3(m − 4) + 6 = 6

Variables on both sides

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

Solve.

  1. 8y + 17 = y + 45
  2. 8m − 18 = 3m + 12
  3. 3y + 2 = 2y + 3
  4. 8n − 7 = 3n − 2
  5. 6m + 18 = 2m − 6
  6. 6y + 3 = 5y − 2
  7. 7x − 15 = 2x + 30
  8. 8x − 18 = 6x − 30
  9. 3n − 2 = n − 6
  10. 9y − 20 = 8y − 29

Equation word problems

Class 7–8 · Worksheet 6 · set 10
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 48 years. Find their ages.
  2. Ravi has ₹21 more than Asha. Together they have ₹111. How much money does Asha have?
  3. The sum of two consecutive numbers is 87. Find the numbers.
  4. The sum of two consecutive numbers is 57. Find the numbers.
  5. I think of a number, multiply it by 2 and add 8. The answer is 34. What is the number?
  6. Ravi has ₹48 more than Asha. Together they have ₹238. 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).

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.