Algebraic Expressions Class 8 Worksheet

# Algebraic Expressions Class 8 Worksheet

## Algebraic Expressions Class 8 Worksheet

Maths worksheets play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of questions related to that particular topic is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the worksheets problems. Parents and teachers can also assess the students by giving them these worksheets to the students to solve.

Maths-formula brings such worksheets on algebraic expressions class 8 for you. By solving these worksheets, you can increase the understanding of the concepts learnt. These worksheets are prepared by experienced teachers and subject matter experts.

Thus, let us try to attempt these questions to solve and assess yourself. Parents and teachers can also give these questions to the students to test them. Unit tests can also be prepared by the teachers using these questions.

## Algebraic Expressions Class 8 Worksheet

1. Determine which of the following expressions are polynomials:

a. x3 + x7 + x9                      b. 2x4 + 1/x2                            c. 5x2 + x

2. Write the degree of each of the following polynomials.

a. –2x3 + 2x2 – 3x + 7                                 b. 4x4 – 7x + 15

c. 3x5 – 6x3 + 10x – 3                                 d. 5x3 – 7x

e. 5x3 + 3x2 – 7                                           f. 7x2 + 7x + 1

g. 2 – 7x – 3x2                                                     h. 4 – 5x – 2x2 + 3x6

3. Classify the following algebraic expressions as monomials, binomials or trinomials.

a. 3x5 + 7                       b. 7x – 10                   c. –2x4 + 4x3 + 9x

d. –5x2 – 3x + 4            e. 4x2                          f. 4x3

g. 3x2 + 4x                    h. 2x + 9y                   i. x + 2x + 9y

4. Identify the like terms in each of the following algebraic expressions.

a. 3xy, –4y2, 4c, –7yx, 6y2, 3ab, 2a

b. 9xyz, –3xyz, –4xy, 3xy2, –7y2x, 19yz

c. 6ab, –3bc, 2a, 4bc, –9ba, 2c

d. –2pqr, 7p2r, –9rp2, 6pqr, 3pr2, 2rp2

5. Add the following algebraic expressions.

a. 2 – 5abc + 3b2c, 4abc – 7, 2abc – 7b2c + 9

b. 3p2q – 3pq + 5, 4pq – 8, 7p + 2p2q + 6

c. 5pqr – 7p2qr + 2pq2r, –3p2qr + 9pqr – 4pr2, 6pr2 – 7pqr

d. 5ab – 6bc + 3ca, 6bc – 4, 4abc – 2ab + 5bc, 2ca – 8

6. Subtract the following algebraic expressions.

a. 2ab – 3bc from 4ab bc

b. 8pqr – 6p2qr + 7pq2r – 5pqr2 from 9pqr pq2r + 4p2qr – 5pqr2

c. 3x2yz – 7xy2z + 9xyz2 – 6 from 5xyz2 + 2xyz – 7x2yz + 4xy2z

d. 9abc – 3ab2c + 4a2bc – 5abc2 from 5abc2 – 10ab2c + 4a2bc + 2abc

7. Evaluate the following.

a. –3x3 + 5x2 +10x – 8 for x = –2

b. 2y2 – 3y + 6 for y = –4

c. 12x2y + 4xy2 + 2xy – 3 for x = 1 and y = 2

8. Multiply the following:

a. (x + y) by (s + t)                      b. (4x + 3y) by (z + 5)

c. (a + b) by (2c – 3d)                d. (5x – 3y) by (4 – z)

9. Simplify the following.

a. (p + q + r) (p q + r) – p (p + q)

b. (2a – 3b + 7c) (3a + 6b + c) – a (b + c)

c. x (x + y + z) – y (y x + z)

d. (x + y) (x y + xy) + (x y) (x + y xy)

10. Divide the following.

a. 6x2 + 12x by 6x                           b. 25m7 – 15m3 + 5m2 by 5m2

c. 3x3 – 12x5 + 6x2 by –6x              d. 8a2 + 16a4 – 12a3 by 4a2

11. Using identities, find the values of the following.

a. (97)2                                      b. (995)2

c. (75)2                                      d. (1003)2

12. Find the product using suitable identity.

a. (2x2 + 5) (2x2 – 5)                    b. (4a + 7b) (4a – 7b)

c. (7p – 6q) (7p + 6q)                d. (2xy + 7yz) (2xy + 7yz)

e. (3x + 5z) (3x – 5z)                 f. (2m – 7n) (2m – 7n)

13. Find the value of the following using suitable identity.

a. (53)2                                      b. 102 × 98                      c. 99 × 101

d. (96)2                                     e. 396 × 404                    f. 995 × 1005

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