Class 8 Maths – Chapter 9

Algebraic Expressions & Identities

STEP 4: Worksheet (Practice Questions)

🟦 Section A: Very Short Answer (1 Mark)

1. Write an algebraic expression with two terms.
2. Find the coefficient of x in 5x − 7.
3. How many terms are there in 2a + 3b − 4?
4. Write the constant term in 6y² − 9.
5. State the identity for (a + b)².

🟩 Section B: Short Answer (2 Marks)

1. Identify the terms and coefficients in the expression 4x² − 3x + 5.
2. Write the identity for (x − y)².
3. Find the value of (a + b)² when a = 2, b = 3.
4. Expand: (x + 5)².

🟧 Section C: Long Answer (4 Marks)

1. Using identities, find:
   • (3x + 2)²
   • (5a − 4b)²
2. Verify the identity: (x + y)(x − y) = x² − y².

🟥 Section D: Challenge Questions

1. If a + b = 10 and ab = 21, find the value of a² + b².
2. Expand and simplify: (2x + 3)(2x − 3).