Class 8 Maths Algebraic Expressions Worksheet — Free Printable PDF
Download a free Class 8 Maths worksheet on Algebraic Expressions with MCQs, fill in the blanks and short answer questions. Complete answer key included. Personalized to your class, subject and chapter.
⭐ MeritMate — Class 8 Maths: Algebraic Expressions
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. Which of the following is a binomial?
a) x + y + z
b) x² + 2x + 1
c) 3x + 5
d) 7xy
Q2. The product of (x + 3) and (x - 3) is:
a) x² + 9
b) x² - 9
c) x² - 6x + 9
d) x² + 6x - 9
Q3. The value of (2x + 3y)² is:
a) 4x² + 9y²
b) 4x² - 12xy + 9y²
c) 4x² + 12xy + 9y²
d) 2x² + 12xy + 3y²
Q4. Which identity is used to expand (a + b)(a - b)?
a) (a + b)² = a² + 2ab + b²
b) (a - b)² = a² - 2ab + b²
c) a² - b² = (a + b)(a - b)
d) (a + b)² = a² - 2ab + b²
Q5. The coefficient of xy in the expression 5x²y + 3xy - 7xy² is:
a) 5
b) -7
c) 3
d) 0
Section B: Fill in the Blanks
Q6. The number of terms in the expression 4x² + 3xy - 7y + 5 is ________.
Q7. The product of (x + 5)² using the identity gives the expansion x² + 10x + ________.
Q8. The value of (103)² calculated using the identity (100 + 3)² is ________.
Q9. When we multiply a monomial by a binomial, the result is obtained by using the ________ property.
Q10. The expression (a - b)² = a² - 2ab + b² is called an algebraic ________.
Section C: Short Answer Questions
Q11. Find the product of (2x + 5) and (3x - 2).
Q12. Expand (4a - 3b)² using a standard identity.
Q13. Find the value of 99² using the identity (100 - 1)².
Q14. Add the following algebraic expressions:
3x² + 5xy - 2y² and x² - 3xy + 4y²
Q15. Simplify: (x + 4)(x + 6) - (x + 2)(x + 3)
⭐ Answer Key
Class 8 · Maths · Algebraic ExpressionsAnswer Key
Section A: Multiple Choice Questions
Q1. Answer: c) 3x + 5
Reason: A binomial has exactly two terms.
Q2. Answer: b) x² - 9
Reason: Using identity (a + b)(a - b) = a² - b², we get x² - 9.
Q3. Answer: c) 4x² + 12xy + 9y²
Reason: (2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y²
Q4. Answer: c) a² - b² = (a + b)(a - b)
Reason: This is the standard identity for difference of two squares.
Q5. Answer: c) 3
Reason: In the term 3xy, the coefficient of xy is 3.
Section B: Fill in the Blanks
Q6. 4
Q7. 25
Q8. 10609
Q9. Distributive
Q10. Identity
Section C: Short Answer Questions
Q11. (2x + 5)(3x - 2)
= 2x(3x - 2) + 5(3x - 2)
= 6x² - 4x + 15x - 10
= 6x² + 11x - 10
Q12. (4a - 3b)²
Using (a - b)² = a² - 2ab + b²
= (4a)² - 2(4a)(3b) + (3b)²
= 16a² - 24ab + 9b²
Q13. (100 - 1)²
= (100)² - 2(100)(1) + (1)²
= 10000 - 200 + 1
= 9801
Q14. (3x² + 5xy - 2y²) + (x² - 3xy + 4y²)
= (3x² + x²) + (5xy - 3xy) + (-2y² + 4y²)
= 4x² + 2xy + 2y²
Q15. (x + 4)(x + 6) - (x + 2)(x + 3)
= (x² + 10x + 24) - (x² + 5x + 6)
= x² + 10x + 24 - x² - 5x - 6
= 5x + 18
More Class 8 Maths Worksheets
Want a different worksheet on Algebraic Expressions?
Generate a fresh set of unique questions instantly. ✨ Generate My Free Worksheet
Sample preview — Download full worksheet with complete answer key