Algebraic Expressions Class 8 Maths Worksheet with Quiz and Activities
Work with algebraic expressions: combine like terms, multiply brackets, use identities and build an area model of a product. On WitKnowLearn you get the Algebraic Expressions Class 8 online quiz, online activities and interactive games, a algebra lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Algebraic Expressions Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Algebraic Expressions Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Algebraic Expressions: Terms, Operations and Identities
A short read for Class 8 before you play. These notes cover Algebraic Expressions.
🧱 Terms, coefficients and like terms
An algebraic expression is made of terms joined by plus or minus signs. In 3x² + 5x − 7 the terms are 3x², 5x and −7, the coefficients are 3 and 5, and −7 is the constant term. Like terms have the same variable and the same power, so only like terms can be added or subtracted.
✖ Multiplying expressions
To multiply, multiply the coefficients and then the variables, so 3x times 4x is 12x². To multiply a binomial by another expression, multiply every term of one factor by every term of the other. An area model helps, because the rectangle (x + 3) by (x + 2) splits into x², 2x, 3x and 6.
⚖ Identities and substitution
An identity is true for every value of the letters. The three standard ones are (a + b)² = a² + 2ab + b², (a − b)² = a² − 2ab + b² and (a + b)(a − b) = a² − b². Substitution replaces each letter with a number, and identities can turn long sums like 51 × 49 into 2500 − 1.
Algebraic Expressions Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Algebraic Expressions for Class 8 maths. It covers terms and coefficients, like and unlike terms, adding, subtracting and multiplying expressions, and the standard identities.
The activities are pitched at Class 8 level. Sort like terms, match identities, expand products and split a rectangle into area parts in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Name | Terms | Example |
|---|---|---|
| Monomial | 1 | 7x |
| Binomial | 2 | x + 5 |
| Trinomial | 3 | x² + 2x + 1 |
How to use this page
- Flip the six cards and try the Algebra 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 build an area model 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
x² + 2x + 3x + 6 = x² + 5x + 6.
(50 + 1)(50 − 1) = 2500 − 1 = 2499.
This Algebraic Expressions 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 Algebraic Expressions
This guide is for Class 8 students, parents and teachers. It covers Algebraic Expressions for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Algebraic Expressions
Algebraic expressions use letters to describe patterns and unknown numbers. This topic shows how to combine, multiply and expand expressions and how identities speed up calculations.
What is there in this chapter
- Terms, coefficients and degree
- Like and unlike terms
- Adding and subtracting expressions
- Multiplying expressions
- Standard identities and substitution
Learning objectives
- Name the parts of an expression.
- Add and subtract like terms.
- Multiply expressions.
- Use the standard identities.
- Reason with assertions and case studies.
Learning outcomes
- I can combine like terms.
- I can expand products of binomials.
- I can use identities to find squares and products.
Algebraic Expressions 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 |
| Algebra Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that builds an area model of a product |
| 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 |
|---|---|
| Term | part joined by + or − |
| Like terms | same variable and power |
| Degree | highest power |
| Square identity | a² + 2ab + b² |
| Difference identity | a² − b² |
Types of questions you may see
- Identify terms and coefficients
- Assertion and reason on identities
- Case study on rectangle area and perimeter
- Expanding and substituting
Solved examples
(2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y².
2(4x + 3) = 8x + 6.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Writing (a + b)² = a² + b² | There is also the middle term 2ab |
| Adding unlike terms such as 3x + 4y | Unlike terms cannot be combined |
| Writing x + x = x² | x + x = 2x |
Algebraic Expressions in daily life
Algebra describes prices, areas, perimeters, speeds and spreadsheets. A shop bill of 5 pens and 3 pencils is 5p + 3q, and a garden area is a product of two expressions.
Tips for parents and teachers
- Underline like terms before combining.
- Check every expansion by substituting a small number.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- ➗Class 8 Maths Worksheet: Rational Numbers
- ✖Class 8 Maths Worksheet: Exponents and Powers
- 🔵Class 8 Maths Worksheet: Squares and Square Roots
- 🧊Class 8 Maths Worksheet: Cubes and Cube Roots
- 🧠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
Algebraic Expressions Class 8 FAQs
What is a term in algebra?
A term is a part of an expression separated by plus or minus signs. In 3x² + 5x − 7 there are three terms.
What are like terms?
Like terms have the same variable raised to the same power, such as 3x and 5x. Only like terms can be added or subtracted.
What is the formula for (a + b)²?
(a + b)² = a² + 2ab + b². For example (x + 2)² = x² + 4x + 4.
How do you multiply two binomials?
Multiply every term of the first by every term of the second and then add like terms. (x + 3)(x + 2) = x² + 5x + 6.
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 Algebra Lab, do two virtual experiments, build an area model in the tile and table views,, and fill in a 16-question practice sheet with a Show answers button.
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