Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 89

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 89
Name:Date:Score:    / 12

Solve.

  1. n + 25 = 40
  2. n + 7 = 37
  3. p + 13 = 21
  4. m − 24 = 1
  5. x − 14 = 10
  6. p + 2 = 14
  7. 11 + y = 26
  8. p + 1 = 17
  9. 5 + y = 32
  10. m + 9 = 14
  11. y + 29 = 41
  12. n + 5 = 17

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 89
Name:Date:Score:    / 12

Solve.

  1. p/3 = 10
  2. m/7 = 7
  3. n/2 = 9
  4. m/6 = 10
  5. 2p = 26
  6. 8p = 24
  7. y/5 = 14
  8. p/6 = 3
  9. n/4 = 13
  10. 9y = 36
  11. n/2 = 12
  12. 6x = 66

Two-step equations

Class 7 · Worksheet 3 · set 89
Name:Date:Score:    / 12

Solve.

  1. 3m + 9 = 45
  2. 2y + 17 = 35
  3. 4n + 15 = 39
  4. 7x − 6 = 57
  5. 3m + 10 = 19
  6. 8p + 4 = 92
  7. 4m + 10 = 30
  8. 2y + 9 = 23
  9. 8x + 5 = 53
  10. 2p + 8 = 26
  11. 4n + 10 = 42
  12. 2x + 16 = 28

Equations with brackets

Class 7–8 · Worksheet 4 · set 89
Name:Date:Score:    / 10

Solve.

  1. 2(n − 3) + 7 = 15
  2. 4(m − 4) + 13 = 5
  3. 3(x − 3) + 9 = 3
  4. 5(n + 2) = 70
  5. 6(y + 6) = 48
  6. 6(x − 3) + 10 = 46
  7. 4(x − 9) + 8 = −20
  8. 2(n − 5) + 7 = 11
  9. 5(x + 3) = 60
  10. 6(m + 7) = 48

Variables on both sides

Class 8 · Worksheet 5 · set 89
Name:Date:Score:    / 10

Solve.

  1. 7n − 14 = 2n − 54
  2. 4n − 5 = 3n − 7
  3. 3x + 15 = 2x + 20
  4. 3y + 6 = y + 4
  5. 4n − 17 = n + 7
  6. 7y + 6 = 5y − 6
  7. 8x + 7 = 4x − 25
  8. 6x − 17 = 5x − 9
  9. 9y − 5 = 3y − 53
  10. 6m − 20 = m + 5

Equation word problems

Class 7–8 · Worksheet 6 · set 89
Name:Date:Score:    / 6

Form an equation and solve.

  1. The sum of two consecutive numbers is 81. Find the numbers.
  2. The sum of two consecutive numbers is 103. Find the numbers.
  3. A father is 5 times as old as his son. The sum of their ages is 66 years. Find their ages.
  4. The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. Find the length and the width.
  5. The sum of two consecutive numbers is 49. Find the numbers.
  6. I think of a number, multiply it by 3 and add 7. The answer is 67. What is the number?

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.