**Algebraic Expressions Class 8
Worksheet**

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**Algebraic Expressions Class 8 Worksheet**

**1.** Determine which of the following expressions
are polynomials:

a. *x*^{3} +
*x*^{7} +
*x*^{9} b. 2*x*^{4} +
1/*x*^{2} c.
5*x*^{2} +
*x*

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

a. –2*x*^{3} + 2*x*^{2}
– 3*x *+ 7
b. 4*x*^{4} – 7*x *+ 15

c. 3*x*^{5} – 6*x*^{3}
+ 10*x *– 3
d. 5*x*^{3} – 7*x *

e. 5*x*^{3} +
3*x*^{2} –
7 f.
7*x*^{2} +
7*x *+ 1

g. 2 – 7*x *– 3*x*^{2 }h. 4 – 5*x *–
2*x*^{2
}+ 3*x*^{6}

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

a. 3*x*^{5} + 7 b. 7*x *– 10 c. –2*x*^{4} + 4*x*^{3}
+ 9*x *

d. –5*x*^{2} – 3*x *+
4 e. 4*x*^{2} f. 4*x ^{3}*

g. 3*x*^{2} + 4*x *h. 2*x *+ 9*y *i. *x* + 2*x *+
9*y*

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

a. 3*xy*, –4*y*^{2},
4*c*, –7*yx*, 6*y*^{2}, 3*ab*, 2*a*

b. 9*xyz*, –3*xyz*, –4*xy*,
3*xy*^{2}, –7*y*^{2}*x*, 19*yz*

c. 6*ab*, –3*bc*, 2*a*,
4*bc*, –9*ba*, 2*c*

d. –2*pqr*, 7*p*^{2}*r*,
–9*rp*^{2}, 6*pqr*, 3*pr*^{2}, 2*rp*^{2}

**5.** Add the
following algebraic expressions.

a. 2 – 5*abc *+ 3*b*^{2}*c*,
4*abc *– 7, 2*abc *– 7*b*^{2}*c *+ 9

b. 3*p*^{2}*q *– 3*pq
*+ 5, 4*pq *– 8, 7*p *+ 2*p*^{2}*q *+ 6

c. 5*pqr *– 7*p*^{2}*qr
*+ 2*pq*^{2}*r*, –3*p*^{2}*qr *+ 9*pqr
*– 4*pr*^{2}, 6*pr*^{2} – 7*pqr*

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

**6.** Subtract the
following algebraic expressions.

a. 2*ab *– 3*bc *from 4*ab
*– *bc*

b. 8*pqr *– 6*p*^{2}*qr
*+ 7*pq*^{2}*r *– 5*pqr*^{2} from 9*pqr *–
*pq*^{2}*r *+ 4*p*^{2}*qr *– 5*pqr*^{2}

c. 3*x*^{2}*yz *– 7*xy*^{2}*z
*+ 9*xyz*^{2} – 6 from 5*xyz*^{2} + 2*xyz *– 7*x*^{2}*yz
*+ 4*xy*^{2}*z*

d. 9*abc *– 3*ab*^{2}*c
*+ 4*a*^{2}*bc *– 5*abc*^{2} from 5*abc*^{2}
– 10*ab*^{2}*c *+ 4*a*^{2}*bc *+ 2*abc*

**7.** Evaluate
the following.

a. –3*x*^{3} + 5*x*^{2}
+10*x *– 8 for *x *= –2

b. 2*y*^{2} – 3*y *+
6 for *y *= –4

c. 12*x*^{2}*y *+ 4*xy*^{2}
+ 2*xy *– 3 for *x *= 1 and *y *= 2

**8.**
Multiply the following:

a. (*x *+ *y*) by (*s *+
*t*) b. (4*x *+
3*y*) by (*z *+ 5)^{ }

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

**9.** Simplify
the following.

a. (*p *+ *q *+ *r*) (*p
*– *q *+ *r*) – *p *(*p *+ *q*)

b. (2*a *– 3*b *+ 7*c*)
(3*a *+ 6*b *+ *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. 6*x*^{2} +
12*x *by 6*x *b. 25*m*^{7} –
15*m*^{3} + 5*m*^{2} by 5*m*^{2}

c. 3*x*^{3} – 12*x*^{5}
+ 6*x*^{2} by –6*x *d. 8*a*^{2} + 16*a*^{4}
– 12*a*^{3} by 4*a*^{2}

**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. (2*x*^{2} + 5) (2*x*^{2} – 5) b.
(4*a *+ 7*b*) (4*a *– 7*b*)

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

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

**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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