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


MCQs Questions for Class 8 Maths


Maths Worksheets for Other Chapters of Class 8

1. Rational numbers class 8 worksheet

2. Exponents and powers class 8 worksheet

3. Squares and square roots class 8 worksheets

4. Cubes and cube roots class 8 worksheets

5. Playing with numbers class 8 worksheet

7. Factorisation class 8 worksheet

8. Linear equations in one variable class 8 worksheet

9. Percentage class 8 worksheets

10. Compound interest class 8 worksheets

11. Direct and inverse proportions class 8 worksheets

12. Understanding quadrilaterals class 8 worksheets

13. Construction of quadrilaterals class 8 worksheet

14. Perimeter and area class 8 worksheets

15. Surface area and volume class 8 worksheets

16. Data handling class 8 worksheets

17. Probability class 8 worksheets



Some Extra Worksheets for ICSE Maths Class 8

1. Sets class 8 worksheets

2. Venn diagram questions

 

Maths Worksheets for Other Classes


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Maths Worksheets for Class 7

Maths Worksheets for Class 8

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