Class 8 - Algebraic Expressions Worksheet 1

1. In a polynomial, the exponents of the variables are always non positive integers. Mark True / False.

a) True b) False

2. The product of monomial and binomial is a monomial. Mark True / False.

a) True b) False

3. The product of two polynomial is a polynomial. Mark True / False.

a) True b) False

4. (p + q)² = p² + q². Mark True / False.

a) True b) False

5. The product of two negative term is positive. Mark True / False.

a) True b) False

6. (p − q)² = p² − q². Mark True / False.

a) True b) False

7. (p + q) (p − q) = p² − q². Mark True / False.

a) True b) False

8. The numerical coefficient in −24a²bc is −24. Mark True / False.

a) True b) False

9. 2x² + x²y² + xz is a binomial. Mark True / False.

a) True b) False

10. An equation is true for all values of its variables. Mark True / False.

a) True b) False

11. Subtract −5x²y² from x²y², then we get ____?

a) 6x² b) −6x²
c) 4x² d) −4x²

12. Like term as 3a⁴b² is _____?

a) 4a²b³ b) −4a⁴b²
c) 5a³b² d) 6a²b³

13. Identify the pair of like term from below option.

a) 5x²yz, 5xyz b) 3y, 3z
c) 2ab²c, −8ab²c d) 5pq, −3qr

14. In (−³⁷⁄₅₁ x²yz³), write the coefficient of −yz3.

a) ³⁷⁄₅₁ b) x²
c) ³⁷⁄₅₁x² d) None of these

15. Which of the following expression is polynomial?

a) a² + b² + ab + a²b²
b) y² + √ 5x + 3
c) p + √ q
d) a − ¹⁄_a

16. Write the degree of x⁴ − x³ + 2x² − 7.

a) 3 b) 2
c) 4 d) x²

17. Find out the value of 4x³ − 2x² + 5x − 4, when x = 3.

a) 101 b) −101
c) 100 d) 98

18. If a = 3, b = 5, c = −2, then find the value of a⁴ + b³ + c² − 2a²b + 3abc.

a) −156 b) 156
c) 198 d) 90

19. Identify binomial from below.

a) ^3y⁄_z b) 5p × 2q × 3r²
c) 2y+7 d) ^x²y³z⁴⁄₂

20. A polynomial of degree 2 is called _______________?

a) Linear b) Cubic
c) Constant d) Quadratic

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Class-8 Algebraic Expressions Worksheet

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