Class 8 takes the equations your child met in Class 7 and makes them work harder. Now the variable can appear on both sides of the equals sign, there are brackets to open, fractions to clear, and answers that can be negative or fractional. The single idea holding it all together is still balance — whatever you do to one side, you do to the other — but it takes practice before a child reliably collects the x-terms on one side, the numbers on the other, and checks the answer at the end.

This free printable worksheet has 12 questions from Bmathpro’s own question bank of 10,500+ validated maths questions — the same bank our enrolled students practise from. Every answer comes with a one-line explanation, so you can check your child’s method, not just the final answer.

Set aside 15–20 minutes, keep the answers hidden until the end, and let your child attempt every question — a wrong attempt tells you more than a skipped one.

What this worksheet covers

• Solving one- and two-step equations
• Checking whether a given value is a solution
• Equations with the variable on both sides
• Equations with brackets
• Equations with fractional coefficients
• Turning a word problem into an equation and solving it

Maps to the CBSE Class 8 Linear Equations in One Variable chapter (NCERT) and equivalent ICSE/State-board units.

Class 8 Linear Equations Worksheet — 12 Questions

Warm-up

1. Solve the equation 2x − 3 = 7. (Write your answer.)

2. Solve for x: 7x − 4 = 24. (Write your answer.)

3. Solve: 2x + 5 = 19. (Write your answer.)

4. Is x = 3 a solution of the equation 4x − 5 = 7?
A. No  B. Yes

Building up

5. Solve for x: 5x + 3 = 2x + 18. (Write your answer.)

6. Solve for x: 8x − 7 = 3x + 13. (Write your answer.)

7. Solve for x: 2(x + 3) = 16. (Write your answer.)

8. Which value of x satisfies 2(x − 3) = 8?
A. 5  B. 11  C. 7  D. 1

Challenge

9. Solve for x: x/3 + x/6 = 5. (Write your answer.)

10. Solve for x: (x + 1)/4 = (x − 1)/2. (Write your answer.)

11. Solve for x: 6x + 7 = 4x − 5. (Write your answer.)

12. Reena is 5 years older than her brother. The sum of their ages is 27. How old is Reena? (Write your answer.)

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Answer key with explanations

Show answers and explanations (parents — open this after your child finishes)

1. 5 — 2x = 10, so x = 5.
2. 4 — 7x = 28, so x = 4.
3. 7 — 2x = 14, so x = 7.
4. B. Yes — 4 × 3 − 5 = 7, equals the right side.
5. 5 — 3x = 15, so x = 5.
6. 4 — 5x = 20, so x = 4.
7. 5 — 2x + 6 = 16, so 2x = 10 and x = 5.
8. C. 7 — 2x − 6 = 8, so 2x = 14 and x = 7.
9. 10 — 3x/6 = 5, so x/2 = 5 and x = 10.
10. 3 — 2(x + 1) = 4(x − 1) gives 6 = 2x, so x = 3.
11. −6 — 2x = −12, so x = −6.
12. 16 — brother is 11 (2x + 5 = 27), so Reena is 16.

How to use this worksheet at home

• Keep it short and calm. 15–20 minutes beats an hour of pressure.
• Ask them to check the answer. Putting the answer back into the equation lets mistakes get caught by the child.
• Praise the method, not the marks. (We deliberately don’t put marks on our worksheets.)

FAQs

Is this worksheet free to print?
Yes — free to use and print at home, no sign-up needed.

Which syllabus does it follow?
Standard Class 8 Linear Equations in One Variable chapter — CBSE (NCERT), ICSE and State boards.

My child can solve simple equations but gets lost when x is on both sides. What helps?
Teach one fixed order: move all x-terms to one side and the numbers to the other, then simplify, then divide. A free demo class shows how we teach that routine.

Where can my child get more practice like this?
Enrolled students get Math Gym, our paid practice app with 10,500+ questions — see our courses page.

Also practise: Class 8 Rational Numbers · Class 8 Exponents & Powers · all Class 8 worksheets.

Did your child enjoy these questions?

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