Algebraic Expressions and Identities

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 8 through repeated, varied practice.
• Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
• Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
• Pitched at medium level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

Help your Class 8 child master the foundational concepts of algebra with our comprehensive revision worksheet on Algebraic Expressions and Identities. Designed specifically for the CBSE curriculum, this worksheet is an invaluable resource for students looking to solidify their understanding before exams or simply reinforce their learning. Algebra lays the groundwork for more advanced mathematical topics, and a strong grasp of expressions and identities is crucial for future success. This medium-difficulty worksheet focuses on simplifying expressions, expanding products, and applying key algebraic identities such as (a+b)² = a² + 2ab + b². Parents and teachers will find this an excellent tool for assessing a child's readiness and identifying areas that may need further attention. It aligns perfectly with NCERT guidelines, ensuring your child practices exactly what they need to know for their Class 8 Mathematics assessments.

What your child will learn

• Practice simplifying complex algebraic expressions.
• Expand products of binomials using distributive property.
• Apply standard algebraic identities to solve problems efficiently.
• Recognise appropriate identities for different algebraic problems.
• Solve problems involving the squares of binomials.

Understanding the concept

Algebraic expressions are combinations of variables (like 'x' or 'y'), constants (like '3' or '7'), and mathematical operations (+, -, ×, ÷). For example, 2x + 5 is an algebraic expression. Algebraic identities are equations that are true for all values of their variables. They are incredibly useful tools because they provide a shortcut for expanding or factoring expressions, making calculations much faster and simpler. Instead of multiplying two binomials step-by-step, we can use an identity. For instance, the identity (a + b)² = a² + 2ab + b² means that if you have an expression like (x + 3)², you don't need to write (x + 3) × (x + 3) and multiply each term. You can directly apply the identity: here 'a' is 'x' and 'b' is '3', so the result is x² + 2(x)(3) + 3² which simplifies to x² + 6x + 9. Understanding and applying these identities correctly helps in simplifying many algebraic problems found in Class 8 Mathematics.

Tips for parents & teachers

• Encourage your child to review the definitions of terms like 'monomial', 'binomial', and 'polynomial' before starting.
• Ask your child to write down the identities on a separate sheet of paper as they solve problems.
• Suggest breaking down multi-step problems into smaller, manageable parts.
• Review common mistakes, such as forgetting the '2ab' term in (a+b)².
• Discuss challenging problems together, explaining the logic behind each step.

Topics covered

How to use this worksheet at home

Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 8) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.

Frequently asked questions

Is this Mathematics worksheet really free?

Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.

Is it aligned to the CBSE / NCERT syllabus?

Yes. All Class 8 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.

Can I print this worksheet at home?

Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.

Does it include an answer key?

Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.