Linear Equations in One Variable Class 8 Maths Worksheet with Quiz and Activities
Work with linear equations: balance, transpose, solve word problems and solve an equation on a balance. On WitKnowLearn you get the Linear Equations in One Variable Class 8 online quiz, online activities and interactive games, a equation lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Linear Equations in One Variable Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Linear Equations in One Variable Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Linear Equations in One Variable: Balance, Transpose and Solve
A short read for Class 8 before you play. These notes cover Linear Equations in One Variable.
⚖ An equation is a balance
A linear equation in one variable says two expressions are equal and has the variable only to the power one. Think of a balance: whatever you do to one side, you do to the other, so the scale stays level.
🔁 Transposing
Moving a term across the equal sign changes its sign. So x + 5 = 12 becomes x = 12 - 5, which gives x = 7. For a two step equation such as 3x + 5 = 20, subtract 5 first and then divide by 3 to get x = 5.
📖 Word problems
To solve a word problem, let x stand for the unknown, write an equation from the words and solve it. A number plus 9 equals 30 becomes x + 9 = 30, so x = 21. Always put your answer back to check that both sides match.
Linear Equations in One Variable Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Linear Equations in One Variable for Class 8 maths. It covers one step and two step equations, transposing, variables on both sides, word problems and checking solutions.
The activities are pitched at Class 8 level. Sort correct moves from mistakes, solve word problems and solve an equation on a balance in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Equation | First step | Answer |
|---|---|---|
| x + 7 = 15 | Subtract 7 | x = 8 |
| 3x = 21 | Divide by 3 | x = 7 |
| 2x + 3 = 11 | Subtract 3, divide by 2 | x = 4 |
How to use this page
- Flip the six cards and try the Equation Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and solve an equation on a balance in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
Subtract 5 to get 3x = 15, then divide by 3 to get x = 5.
x + (x + 1) + (x + 2) = 33 gives x = 10, so the numbers are 10, 11 and 12.
This Linear Equations in One Variable worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Linear Equations in One Variable
This guide is for Class 8 students, parents and teachers. It covers Linear Equations in One Variable for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Linear Equations in One Variable
Linear equations help us find an unknown number from clues. This topic shows how to keep an equation balanced and how to turn word problems into equations.
What is there in this chapter
- Equations and solutions
- Transposing
- Two step equations
- Variables on both sides
- Word problems
Learning objectives
- Solve one and two step equations.
- Transpose terms correctly.
- Solve equations with variables on both sides.
- Form and solve word problems.
- Reason with assertions and case studies.
Learning outcomes
- I can solve a linear equation step by step.
- I can form an equation from a word problem.
- I can check my solution.
Linear Equations in One Variable Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Equation Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that solves an equation on a balance |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Equation | two equal expressions |
| Transposing | change the sign |
| Two step | undo in reverse |
| Checking | put the answer back |
| Linear | power of x is one |
Types of questions you may see
- Solve the equation
- Assertion and reason on solutions
- Case study on ages and perimeter
- Word problems
Solved examples
Collect terms: 4x = 20, so x = 5.
x + 4x = 50 gives x = 10.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Changing only one side | Do the same to both sides |
| Forgetting to change the sign when transposing | Plus becomes minus |
| Not checking the answer | Substitute and compare both sides |
Linear Equations in One Variable in daily life
Linear equations are used for shopping bills, ages, speed and distance, perimeters and anywhere an unknown amount has to be found.
Tips for parents and teachers
- Write each step on a new line.
- Check the answer by putting it back.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- ➗Class 8 Maths Worksheet: Rational Numbers
- 🧱Class 8 Maths Worksheet: Algebraic Expressions
- 💯Class 8 Maths Worksheet: Percentage
- 🔷Class 8 Maths Worksheet: Understanding Quadrilaterals
- 🧠Class 8 Maths Notes and Mind Maps
- 📚Class 8 Maths Worksheets, page 1
- 📚Class 8 Maths Worksheets, page 2
- 📚Class 8 Maths Worksheets, page 3
Linear Equations in One Variable Class 8 FAQs
What is a linear equation in one variable?
It is an equation with one variable whose highest power is one, such as 2x + 3 = 11.
What does transposing mean?
It means moving a term to the other side of the equal sign and changing its sign.
How do I solve a two step equation?
Undo addition or subtraction first and then undo multiplication or division.
How do I check a solution?
Put the value back into the equation. If both sides are equal, the solution is correct.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Equation Lab, do two virtual experiments, solve an equation on a balance in the balance and table views,, and fill in a 16-question practice sheet with a Show answers button.
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