Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 78

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 78
Name:Date:Score:    / 12

Solve.

  1. 22 + x = 34
  2. 11 + m = 15
  3. 19 + x = 41
  4. 2 + p = 22
  5. n + 17 = 20
  6. 12 + n = 36
  7. 9 + n = 38
  8. 21 + y = 40
  9. m + 9 = 34
  10. n + 17 = 46
  11. 23 + p = 52
  12. p − 7 = 13

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 78
Name:Date:Score:    / 12

Solve.

  1. n/9 = 3
  2. m/3 = 1
  3. 2m = 26
  4. 5p = 60
  5. x/3 = 13
  6. 4x = 24
  7. p/4 = 7
  8. y/5 = 6
  9. y/5 = 2
  10. y/6 = 11
  11. 5x = 60
  12. y/7 = 7

Two-step equations

Class 7 · Worksheet 3 · set 78
Name:Date:Score:    / 12

Solve.

  1. 8x − 14 = 82
  2. 3x + 15 = 48
  3. 7y − 17 = 67
  4. 3x + 7 = 43
  5. 8m + 11 = 99
  6. 5m + 4 = 34
  7. 5x − 4 = 11
  8. 9p + 8 = 44
  9. 5x − 3 = 32
  10. 2p + 10 = 12
  11. 8m − 15 = 57
  12. 3m − 12 = 9

Equations with brackets

Class 7–8 · Worksheet 4 · set 78
Name:Date:Score:    / 10

Solve.

  1. 3(x − 6) + 5 = 14
  2. 4(x − 2) + 15 = 15
  3. 3(m + 7) = 57
  4. 6(y + 4) = 90
  5. 3(n − 7) + 12 = 6
  6. 3(x + 3) = 21
  7. 4(n − 2) + 6 = 26
  8. 2(m + 8) = 18
  9. 2(n + 7) = 20
  10. 5(n − 5) + 5 = −15

Variables on both sides

Class 8 · Worksheet 5 · set 78
Name:Date:Score:    / 10

Solve.

  1. 8m − 18 = 2m + 6
  2. 5n − 13 = n − 49
  3. 5y − 2 = 4y − 6
  4. 5y + 15 = 2y + 30
  5. 9x + 19 = 3x − 11
  6. 9y − 13 = 8y − 20
  7. 7y + 7 = 6y − 2
  8. 4y + 10 = 3y + 14
  9. 3y + 13 = 2y + 19
  10. 3m − 13 = 2m − 14

Equation word problems

Class 7–8 · Worksheet 6 · set 78
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 35. Find the numbers.
  2. I think of a number, multiply it by 2 and add 20. The answer is 38. What is the number?
  3. The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. Find the length and the width.
  4. The length of a rectangle is 1 cm more than its width. Its perimeter is 82 cm. Find the length and the width.
  5. The sum of two consecutive numbers is 57. Find the numbers.
  6. The length of a rectangle is 8 cm more than its width. Its perimeter is 60 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.