Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 18

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.

💡 Learn it first

⚖️ The worksheets

🔄 New set of questions

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 18
Name:Date:Score:    / 12

Solve.

  1. 26 + n = 42
  2. 13 + n = 24
  3. p − 5 = 7
  4. 9 + x = 26
  5. m + 30 = 38
  6. y + 6 = 27
  7. y − 4 = 25
  8. 17 + m = 37
  9. x + 20 = 38
  10. p − 7 = 12
  11. y − 8 = 12
  12. 16 + m = 30

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 18
Name:Date:Score:    / 12

Solve.

  1. 9p = 63
  2. 4n = 48
  3. n/9 = 12
  4. n/6 = 1
  5. 5n = 15
  6. 4n = 24
  7. m/9 = 4
  8. p/4 = 8
  9. x/2 = 4
  10. x/3 = 11
  11. 2p = 12
  12. 7x = 91

Two-step equations

Class 7 · Worksheet 3 · set 18
Name:Date:Score:    / 12

Solve.

  1. 6x + 1 = 7
  2. 9m + 7 = 79
  3. 7m + 10 = 80
  4. 4y + 3 = 39
  5. 8n + 14 = 38
  6. 5x − 20 = 5
  7. 4m + 4 = 48
  8. 7p + 10 = 45
  9. 2x + 12 = 24
  10. 9x + 13 = 76
  11. 5n + 7 = 17
  12. 5p − 1 = 44

Equations with brackets

Class 7–8 · Worksheet 4 · set 18
Name:Date:Score:    / 10

Solve.

  1. 2(m + 4) = 24
  2. 2(x + 4) = 28
  3. 4(m + 7) = 32
  4. 6(n + 6) = 54
  5. 6(x + 7) = 66
  6. 6(y + 3) = 78
  7. 6(y + 9) = 96
  8. 6(x + 4) = 36
  9. 2(x + 4) = 32
  10. 5(y + 8) = 80

Variables on both sides

Class 8 · Worksheet 5 · set 18
Name:Date:Score:    / 10

Solve.

  1. 6y + 1 = 2y + 25
  2. 6y − 14 = 2y − 6
  3. 3n + 1 = n − 9
  4. 5x − 7 = 4x − 6
  5. 5x − 1 = 4x − 7
  6. 5x − 19 = 4x − 25
  7. 5x + 10 = 4x + 5
  8. 3n − 10 = 2n − 6
  9. 8n + 19 = 2n + 73
  10. 8y − 14 = 3y − 59

Equation word problems

Class 7–8 · Worksheet 6 · set 18
Name:Date:Score:    / 6

Form an equation and solve.

  1. The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. Find the length and the width.
  2. A father is 3 times as old as his son. The sum of their ages is 44 years. Find their ages.
  3. I think of a number, multiply it by 2 and add 13. The answer is 35. What is the number?
  4. The length of a rectangle is 8 cm more than its width. Its perimeter is 96 cm. Find the length and the width.
  5. The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. Find the length and the width.
  6. The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. Find the length and the width.

More worksheets

🔤 Algebraic expressions worksheet📉 Linear equations in two variables➕➖ Integers worksheet Noun worksheetsPronoun worksheetsArticles worksheetTenses worksheetPrepositions worksheetSubtraction worksheets All worksheets

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.