Algebraic Expressions Class 8 Worksheet
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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
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| Maths Worksheets for Other Chapters of Class 8 |
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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
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