Linear Equations Word Problems Class 8 Maths Worksheet with Quiz and Activities
Solve linear equations with brackets and fractions, and use them for ages, consecutive numbers and perimeter. On WitKnowLearn you get the Linear Equations Word Problems 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 Word Problems Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Linear Equations Word Problems Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
🧪 Equation Lab
Do the experiment on screen: 3 rounds, then see what we found.
Lab progress
- 🧪 Round 1 of 3
- ⬜ Round 2 of 3
- ⬜ Round 3 of 3
- ⬜ What did we find?
🧮 Fractions or Brackets?
⭐⭐⭐Goal: Sort 8 equations by what to do first.
How to play: Drag each card into its bin, or tap a card and then tap a bin.
Look for division signs and brackets.
Clear fractions
multiply by the LCMExpand brackets
multiply insideFACTS: Clear fractions with the LCM; expand brackets by multiplying.
🫧 Equation Fact Bubbles
⭐⭐⭐Goal: Pop the 5 true facts. Leave the 4 false ones.
How to play: Tap a bubble to pop it. False bubbles wobble and stay.
Think about brackets, LCM and consecutive numbers.
FACTS: Word problems become equations.
🧠 Equation Memory
⭐⭐⭐Goal: Match each equation with its solution.
How to play: Flip two cards. If they match, they stay open. Find all 6 pairs.
Solve each one in your head.
FACTS: Solutions make both sides equal.
📝 Equation Word Gaps
⭐⭐⭐Goal: Fill each gap with the right word from the tray. One word is extra.
How to play: Drag a word into a gap, or tap a word and then tap a gap.
Read the whole sentence before you choose a word.
Numbers that follow each other, like 7 and 8, are .
To clear fractions multiply by the of the denominators.
Removing a bracket needs .
The distance around a shape is its .
In a/b = c/d we multiply.
FACTS: Word problems have special words.
⚖ Which Is Greater?
⭐⭐⭐Goal: In each pair, tap the greater solution.
How to play: Tap one card in every pair.
Solve each equation first.
FACTS: Solving shows which is greater.
🧱 Bracket Lab
⭐⭐⭐Goal: Expand and solve.
How to play: Drag a number into each gap, or tap a number and then a gap.
Multiply every term inside.
Expanding 2(x + 3) gives 2x + .
Then 2x + 6 = 14 gives x equal to .
From 3(x - 2) = 15 we get x equal to .
From 5(x + 1) = 30 we get x equal to .
FACTS: Expand first, then solve.
➗ Fraction Lab
⭐⭐⭐Goal: Clear fractions.
How to play: Drag the right number into each gap.
Multiply by the LCM.
If x/4 = 5, then x equals .
The LCM of 4 and 6 is .
If (x + 1)/2 = 4, then x + 1 equals .
If x/3 = 9, then x equals .
FACTS: Whole numbers are easier.
🔢 Number Lab
⭐⭐⭐Goal: Solve number problems.
How to play: Drag the right number into each gap.
Let the smaller number be x.
Two consecutive numbers with sum 45 start at .
A number and 3 times it add to 40; the number is .
Then 3 times that number is .
Three consecutive numbers with sum 36 start at .
FACTS: Consecutive numbers differ by 1.
📐 Shape Lab
⭐⭐⭐Goal: Use perimeter and angles.
How to play: Drag the right number into each gap.
Write the equation first.
A square of perimeter 36 cm has side cm.
A rectangle with breadth 10 and length 15 has perimeter .
Angles x, 2x and 3x of a triangle give x equal to .
Angles 2x and 3x on a straight line give x equal to .
FACTS: Geometry gives equations.
🔬 How Many Solutions?
⭐⭐⭐Goal: Sort 6 equations by number of solutions.
How to play: Drag each card into a bin, or tap a card and then tap a bin.
Simplify both sides.
One solution
a single valueNo solution
a false statementFACTS: Some equations have no solution.
❓ Equation Quiz
⭐⭐⭐Goal: Answer 3 questions. Each correct answer earns 1 point.
How to play: Tap the best option.
Expand or clear first.
1. Solution of 2(x + 4) = 14
2. Solution of x/6 = 3
3. Consecutive numbers after x
FACTS: Plan before solving.
💦 True or False Splash
⭐⭐⭐Goal: Decide if each statement is true or false.
How to play: Tap True or False.
Test with the solution.
1. x = 4 solves 2(x + 1) = 10.
2. x = 5 solves x/2 = 3.
3. x = 3 solves 3(x - 1) = 6.
FACTS: Substitution checks answers.
➗ Equation Sums
⭐⭐⭐Goal: Solve 3 equations. Type the number.
How to play: Type your answer and press Check.
Expand brackets, clear fractions.
1. Solve 4(x - 1) = 20
2. Solve x/3 + 4 = 9
3. Solve 3(x + 2) = 2x + 11
FACTS: Practice builds speed.
🔗 Match the Setup
⭐⭐⭐Goal: Match each story with its equation.
How to play: Drag each card onto its partner, or tap a card and then tap a partner.
Let x be the unknown.
FACTS: Stories become equations.
📖 Story Problems
⭐⭐⭐Goal: Read 3 short stories and choose the best answer.
How to play: Tap an answer.
Write the equation first.
1. 🎂 Aman is 4 years older than Ravi and their ages add up to 30. Ravi is
2. 🏡 A rectangle plot has perimeter 60 and length twice the breadth. The breadth is
3. 🍬 Three friends share 45 sweets in the ratio 1 : 2 : 6. The largest share is
FACTS: Equations model life.
🧱 Bracket Equation Experiment
⭐⭐⭐Aim
To solve 2(x + k) = 20 for different values of k.
Objectives
- Divide both sides by 2 first.
- Subtract k.
Procedure
- Take the equation.
- Find x.
- Type the number.
- Choose the conclusion.
x + k = 10, so x = 10 - k.
Observation table
| Equation | x |
|---|---|
| 2(x + 1) = 20 | |
| 2(x + 3) = 20 | |
| 2(x + 5) = 20 | |
| 2(x + 8) = 20 |
Conclusion
Outcomes
- I can solve equations with brackets.
- I can see how k changes x.
🔢 Consecutive Numbers Experiment
⭐⭐⭐Aim
To find the smallest of three consecutive numbers with a given sum.
Objectives
- Use 3x + 3 = sum.
- Find x.
Procedure
- Take the sum.
- Find the smallest number.
- Type the number.
- Choose the conclusion.
Subtract 3 and divide by 3.
Observation table
| Sum of three | Smallest |
|---|---|
| 33 | |
| 45 | |
| 60 | |
| 78 |
Conclusion
Outcomes
- I can model consecutive numbers.
- I can use 3x + 3.
🎂 Solve an Age Problem
⭐⭐⭐Aim
To find when a mother will be twice as old as her daughter by writing and solving an equation with brackets.
Objectives
- Write the equation from the story.
- Expand the bracket and solve.
- Check the answer with the ages.
Procedure
- Type each answer and the bars are drawn.
- Use the Bars view and Table view buttons.
- Read the finished ages.
- Answer the questions and choose the conclusion.
In x years the mother will be 36 + x and Ria will be 12 + x.
Read your figure
Outcomes
- I can form an equation from a story.
- I can expand brackets and solve.
- I can check the answer.
Read the chapter first. Write each answer on the line. The page checks your answer as you type.
A. Brackets
B. Fractions
C. Number problems
D. Ages and shapes
Linear Equations Word Problems: Brackets, Fractions and Stories
A short read for Class 8 before you play. These notes cover Linear Equations Word Problems.
🧱 Brackets and fractions
To solve 2(x + 3) = 14, expand the bracket to 2x + 6 = 14 and then solve to get x = 4. For fractions, multiply both sides by the LCM of the denominators, so x/2 + x/3 = 10 becomes 3x + 2x = 60 and x = 12.
✖ Cross multiplication
When one fraction equals another, a/b = c/d, we can cross multiply to get ad = bc. So 2/x = 4/10 gives 20 = 4x and x = 5. This turns an equation with unknowns in the denominator into a simple linear one.
🎂 Word problems
For ages, consecutive numbers and perimeters, let x be the unknown, write the quantities in terms of x, form an equation and solve it. Always put the answer back into the story to check that it makes sense.
Linear Equations Word Problems Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Linear Equations Word Problems for Class 8 maths. It covers equations with brackets and fractions, cross multiplication, and word problems on ages, consecutive numbers, perimeter and angles.
The activities are pitched at Class 8 level. Sort equations by first step, count solutions and solve an age problem with bars in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Type | First step | Example |
|---|---|---|
| Brackets | Expand | 2(x + 3) = 14 |
| Fractions | Multiply by LCM | x/4 = 5 |
| Consecutive | Use x, x + 1, x + 2 | Sum 33 |
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 age problem 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
3x + 3 = 33 gives x = 10, so the numbers are 10, 11 and 12.
36 + x = 2(12 + x) gives x = 12 years.
This Linear Equations Word Problems 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 Word Problems
This guide is for Class 8 students, parents and teachers. It covers Linear Equations Word Problems for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Linear Equations Word Problems
Linear equations turn stories into numbers. This topic shows how to handle brackets and fractions and how to build equations for ages, numbers and shapes.
What is there in this chapter
- Equations with brackets
- Equations with fractions
- Cross multiplication
- Number and age problems
- Perimeter and angles
Learning objectives
- Solve equations with brackets and fractions.
- Use cross multiplication.
- Form equations from word problems.
- Check solutions.
- Reason with assertions and case studies.
Learning outcomes
- I can expand brackets and clear fractions.
- I can form equations for ages and numbers.
- I can check my answers.
Linear Equations Word Problems 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 age problem |
| 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 |
|---|---|
| Brackets | expand first |
| Fractions | multiply by the LCM |
| Cross multiply | ad = bc |
| Consecutive | x, x + 1, x + 2 |
| Check | put the answer back |
Types of questions you may see
- Solve with brackets and fractions
- Assertion and reason on solutions
- Case study on ages
- Number and perimeter problems
Solved examples
4(x - 2) = 3(x + 1) gives 4x - 8 = 3x + 3, so x = 11.
3x + 6 = 78 gives x = 24.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Multiplying only the first term in a bracket | Multiply every term inside |
| Forgetting to multiply every term by the LCM | Every term gets multiplied |
| Skipping the check | Verify with the story |
Linear Equations Word Problems in daily life
Equations with brackets and fractions model ages, shopping, travel and shapes in everyday life.
Tips for parents and teachers
- Write what x stands for.
- Check the answer in the story.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- ⚖Class 8 Maths Worksheet: Linear Equations in One Variable
- ➕Class 8 Maths Worksheet: Algebraic Identities
- ⚖Class 8 Maths Worksheet: Comparing Quantities
- ➗Class 8 Maths Worksheet: Rational Numbers Practice
- 🧠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 Word Problems Class 8 FAQs
How do I solve an equation with brackets?
Expand the bracket by multiplying every term inside, then solve the resulting equation.
How do I clear fractions in an equation?
Multiply both sides by the LCM of the denominators.
What is cross multiplication?
If a/b = c/d then ad = bc, which turns the equation into a simple linear one.
How do I write consecutive numbers?
Write them as x, x + 1, x + 2, and for even or odd numbers use x, x + 2, x + 4.
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 age problem with bars in the bars and table views,, and fill in a 16-question practice sheet with a Show answers button.
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