Class 7 - Algebraic Expressions Worksheet 3

1. What kind of algebraic expression is p³ + q³ + r³ + 3pqr?

2. Write all the terms of the following algebraic expression.

3x² + 2y² − 5xy + 6

3. Identify the terms of the following algebraic expression.

2.2pq − 3.2q + 4.8p

4. Which pair of terms are like terms?

a) 25x, −25y b) 4a²b, −6ba²
c) 4a²bc, −6b²ac d) 5p², 5q²

5. 5x² − 5 + 6x + 2 is a trinomial, mark true / False.

a) True b) False

6. Write the degree of below mentioned polynomial.

5 − 2a² − 4ab³ + 7b⁵

7. Simplify below mentioned algebraic expression.

5b² + 7b − 3 − (9b − b² − 7)

8. Find the sum of below mentioned algebraic expressions.

5a² + 7a − 4, 5a + 4 − a², 5 − 3a

9. Simplify the following algebraic expression.

5p²q − 3pq² + 8pq − 8p²q − 5pq + 7pq²

10. Subtract 5xy + 6x² − 8y² from 9x² − 10xy − 5y² + 4.

11. From the sum of 5a + 2 and 5a² + 7a − 4 subtract the sum of 3a² − 5a and 4a − 5a² + 7.

12. What should be deducted from 3p² − 5q² + 8pq + 25 to get p² + 4q² + 6pq + 20.

13. If a = 4, b = −3, then find the value of a³ + b³ + 3qb.

14. If p = 4, then find the value of 3(2p − 1) + 2p + 15.

15. If a = −3, b = −4, then find the value of 3(a² + ab) + 3 − 2ab.

16. When a = 2, b = −1, c = −2, then find the values of a³ + b³ + c³ + 3abc.

17. Write the degree of following polynomials.

³⁄₅ab² + 4ab + ²⁄₃a²b² + 5b

18. How much is 5a² − 7ab + 4b² + 6 greater than 3a² + 2ab + 4?

19. What must be added 5p³ − 3p² + 4p + 3 to get 8p³ + 6p − 7?

20. Simplify: 75 − [12y − 5(3y − 2) − 2{12y − 2(2 − 4y)}]

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Algebraic Expressions Worksheet-3Download the pdf

Answer Sheet

Algebraic-Expressions-AnswerDownload the pdf