Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 62

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 62
Name:Date:Score:    / 12

Solve.

  1. 10 + y = 30
  2. m + 11 = 15
  3. x + 6 = 13
  4. y − 1 = 28
  5. y + 18 = 23
  6. y − 3 = 19
  7. p − 2 = 13
  8. p − 18 = 12
  9. 6 + x = 24
  10. n + 7 = 12
  11. y + 21 = 33
  12. m − 4 = 15

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 62
Name:Date:Score:    / 12

Solve.

  1. m/3 = 2
  2. x/3 = 3
  3. 9n = 18
  4. m/4 = 6
  5. x/5 = 3
  6. 3y = 27
  7. 8n = 16
  8. 2m = 18
  9. n/2 = 3
  10. m/2 = 4
  11. y/7 = 8
  12. p/9 = 12

Two-step equations

Class 7 · Worksheet 3 · set 62
Name:Date:Score:    / 12

Solve.

  1. 6m + 3 = 69
  2. 4x − 6 = 26
  3. 9p − 8 = 10
  4. 2x + 7 = 21
  5. 6p − 12 = 18
  6. 6x + 6 = 12
  7. 8n − 3 = 85
  8. 7y − 20 = 15
  9. 3m + 10 = 46
  10. 6m + 14 = 86
  11. 2x − 7 = 17
  12. 3x − 14 = 10

Equations with brackets

Class 7–8 · Worksheet 4 · set 62
Name:Date:Score:    / 10

Solve.

  1. 2(x − 1) + 12 = 20
  2. 3(n + 7) = 30
  3. 5(x + 3) = 45
  4. 2(m − 2) + 10 = 30
  5. 5(n − 2) + 4 = 54
  6. 4(n − 4) + 9 = 41
  7. 6(y + 7) = 72
  8. 6(y − 8) + 9 = 15
  9. 5(m + 4) = 70
  10. 2(y + 8) = 30

Variables on both sides

Class 8 · Worksheet 5 · set 62
Name:Date:Score:    / 10

Solve.

  1. 4m − 5 = 2m − 7
  2. 6n + 2 = 5n + 9
  3. 4m − 14 = 3m − 12
  4. 7n − 19 = 5n − 7
  5. 3y + 15 = 2y + 17
  6. 8x − 2 = 4x − 6
  7. 4m + 2 = 3m + 9
  8. 8y − 20 = 7y − 14
  9. 6m − 15 = m + 20
  10. 4x + 11 = 3x + 2

Equation word problems

Class 7–8 · Worksheet 6 · set 62
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 28 years. Find their ages.
  2. A father is 5 times as old as his son. The sum of their ages is 72 years. Find their ages.
  3. A father is 4 times as old as his son. The sum of their ages is 70 years. Find their ages.
  4. The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. Find the length and the width.
  5. Ravi has ₹48 more than Asha. Together they have ₹266. How much money does Asha have?
  6. Ravi has ₹20 more than Asha. Together they have ₹382. How much money does Asha have?

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.