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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 22

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 22
Name:Date:Score:    / 12

Solve.

  1. 6 + y = 29
  2. m + 16 = 45
  3. 9 + y = 12
  4. y + 24 = 25
  5. y + 25 = 35
  6. x + 9 = 24
  7. 26 + y = 47
  8. 14 + m = 35
  9. x + 1 = 6
  10. y + 15 = 23
  11. 28 + m = 29
  12. 16 + x = 46

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 22
Name:Date:Score:    / 12

Solve.

  1. 9m = 117
  2. m/2 = 2
  3. y/3 = 7
  4. 6x = 12
  5. x/4 = 1
  6. 2p = 6
  7. p/3 = 13
  8. p/5 = 1
  9. 7y = 49
  10. m/4 = 7
  11. n/7 = 9
  12. m/4 = 4

Two-step equations

Class 7 · Worksheet 3 · set 22
Name:Date:Score:    / 12

Solve.

  1. 3y + 1 = 16
  2. 9n + 1 = 109
  3. 7m − 2 = 47
  4. 7y − 8 = 27
  5. 4m + 5 = 49
  6. 9x + 17 = 80
  7. 9p − 8 = 73
  8. 3y + 10 = 46
  9. 8n − 13 = 67
  10. 9p + 4 = 13
  11. 7x + 17 = 94
  12. 8p − 3 = 5

Equations with brackets

Class 7–8 · Worksheet 4 · set 22
Name:Date:Score:    / 10

Solve.

  1. 6(n + 1) = 18
  2. 3(x − 8) + 1 = 10
  3. 6(m + 3) = 72
  4. 4(y − 6) + 1 = −19
  5. 3(y + 7) = 39
  6. 4(m + 7) = 56
  7. 5(m + 8) = 45
  8. 2(m − 2) + 2 = 14
  9. 4(y + 7) = 52
  10. 6(n − 5) + 2 = 8

Variables on both sides

Class 8 · Worksheet 5 · set 22
Name:Date:Score:    / 10

Solve.

  1. 8y + 2 = 3y + 32
  2. 7y + 7 = 2y − 3
  3. 4x − 15 = 3x − 14
  4. 5y − 11 = 3y − 19
  5. 9m − 11 = m − 35
  6. 7y − 6 = 2y + 4
  7. 7x − 13 = x + 5
  8. 5x + 12 = 3x + 18
  9. 8x + 1 = 4x + 5
  10. 5x + 12 = x + 36

Equation word problems

Class 7–8 · Worksheet 6 · set 22
Name:Date:Score:    / 6

Form an equation and solve.

  1. A father is 3 times as old as his son. The sum of their ages is 20 years. Find their ages.
  2. A father is 5 times as old as his son. The sum of their ages is 36 years. Find their ages.
  3. Ravi has ₹16 more than Asha. Together they have ₹292. How much money does Asha have?
  4. A father is 5 times as old as his son. The sum of their ages is 90 years. Find their ages.
  5. The sum of two consecutive numbers is 111. Find the numbers.
  6. I think of a number, multiply it by 4 and add 18. The answer is 70. What is the number?

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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).

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Can my child do this worksheet online, like a quiz?

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