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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 24

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 24
Name:Date:Score:    / 12

Solve.

  1. n + 20 = 36
  2. x + 20 = 47
  3. y − 1 = 16
  4. 16 + m = 23
  5. x + 2 = 4
  6. 26 + n = 47
  7. n − 8 = 1
  8. 13 + x = 26
  9. m − 18 = 2
  10. y + 16 = 28
  11. x + 1 = 11
  12. y + 7 = 27

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 24
Name:Date:Score:    / 12

Solve.

  1. 9p = 36
  2. y/2 = 9
  3. 3p = 18
  4. 6m = 36
  5. 7x = 98
  6. 3m = 3
  7. y/8 = 15
  8. 3x = 3
  9. n/3 = 12
  10. m/7 = 15
  11. y/9 = 11
  12. 4m = 28

Two-step equations

Class 7 · Worksheet 3 · set 24
Name:Date:Score:    / 12

Solve.

  1. 3m + 3 = 39
  2. 6n + 8 = 50
  3. 3n − 1 = 8
  4. 4y + 9 = 37
  5. 9p − 18 = 36
  6. 8p + 1 = 41
  7. 9n + 19 = 127
  8. 3y + 4 = 31
  9. 8m + 9 = 105
  10. 9p − 5 = 85
  11. 9y − 7 = 29
  12. 3p + 2 = 20

Equations with brackets

Class 7–8 · Worksheet 4 · set 24
Name:Date:Score:    / 10

Solve.

  1. 5(y + 3) = 55
  2. 6(m − 5) + 10 = 16
  3. 4(n + 8) = 68
  4. 5(y − 7) + 11 = −19
  5. 6(n − 3) + 15 = 3
  6. 3(y − 3) + 1 = 16
  7. 2(x − 2) + 8 = 6
  8. 5(m + 2) = 50
  9. 6(y − 1) + 14 = 44
  10. 2(m − 5) + 15 = 23

Variables on both sides

Class 8 · Worksheet 5 · set 24
Name:Date:Score:    / 10

Solve.

  1. 8n + 19 = 6n + 21
  2. 8y + 16 = 7y + 12
  3. 9x + 13 = 5x + 45
  4. 4n + 5 = 2n + 17
  5. 9y + 2 = 7y − 4
  6. 6y − 1 = y + 9
  7. 3x + 9 = x + 11
  8. 3m − 3 = 2m − 7
  9. 9x + 15 = 8x + 17
  10. 8n − 6 = 7n − 15

Equation word problems

Class 7–8 · Worksheet 6 · set 24
Name:Date:Score:    / 6

Form an equation and solve.

  1. Ravi has ₹22 more than Asha. Together they have ₹404. How much money does Asha have?
  2. Ravi has ₹6 more than Asha. Together they have ₹162. How much money does Asha have?
  3. A father is 3 times as old as his son. The sum of their ages is 48 years. Find their ages.
  4. Ravi has ₹49 more than Asha. Together they have ₹97. How much money does Asha have?
  5. The sum of two consecutive numbers is 65. Find the numbers.
  6. Ravi has ₹35 more than Asha. Together they have ₹173. 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?

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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.