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Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 34

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 34
Name:Date:Score:    / 12

Solve.

  1. p − 4 = 8
  2. m + 29 = 37
  3. x + 13 = 20
  4. 11 + p = 40
  5. 19 + y = 32
  6. 7 + x = 31
  7. n + 23 = 27
  8. n + 18 = 28
  9. p + 9 = 30
  10. x − 7 = 10
  11. n − 6 = 21
  12. x + 26 = 31

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 34
Name:Date:Score:    / 12

Solve.

  1. p/8 = 12
  2. 8n = 48
  3. 2x = 8
  4. 2y = 14
  5. 6p = 72
  6. x/9 = 10
  7. n/6 = 9
  8. 5n = 55
  9. y/8 = 6
  10. y/8 = 4
  11. 7p = 105
  12. p/7 = 11

Two-step equations

Class 7 · Worksheet 3 · set 34
Name:Date:Score:    / 12

Solve.

  1. 6n + 8 = 74
  2. 8y + 5 = 77
  3. 7p − 12 = 65
  4. 3p + 5 = 17
  5. 4n − 10 = 10
  6. 6p + 10 = 64
  7. 6p − 1 = 5
  8. 8n − 6 = 18
  9. 2p + 16 = 32
  10. 3m − 4 = 23
  11. 7x + 1 = 50
  12. 4p + 9 = 57

Equations with brackets

Class 7–8 · Worksheet 4 · set 34
Name:Date:Score:    / 10

Solve.

  1. 4(n − 5) + 5 = 21
  2. 6(n + 2) = 48
  3. 6(m − 9) + 9 = 15
  4. 5(x + 9) = 50
  5. 2(y + 2) = 8
  6. 4(m − 5) + 5 = 17
  7. 5(n − 7) + 7 = −3
  8. 5(y − 6) + 11 = 26
  9. 4(m − 5) + 4 = 20
  10. 2(y − 4) + 14 = 18

Variables on both sides

Class 8 · Worksheet 5 · set 34
Name:Date:Score:    / 10

Solve.

  1. 3y + 6 = y + 12
  2. 8y + 11 = 3y + 51
  3. 5n + 19 = 4n + 26
  4. 8n − 20 = 7n − 15
  5. 4y − 20 = 3y − 12
  6. 7m + 3 = m − 27
  7. 7n + 5 = 3n + 41
  8. 7x − 5 = 6x − 2
  9. 6n − 18 = 5n − 22
  10. 8m + 1 = m − 20

Equation word problems

Class 7–8 · Worksheet 6 · set 34
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 66 years. Find their ages.
  2. A father is 3 times as old as his son. The sum of their ages is 44 years. Find their ages.
  3. The sum of two consecutive numbers is 39. Find the numbers.
  4. A father is 3 times as old as his son. The sum of their ages is 40 years. Find their ages.
  5. Ravi has ₹27 more than Asha. Together they have ₹151. How much money does Asha have?
  6. I think of a number, multiply it by 2 and add 5. The answer is 13. 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.

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

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