5.ALGEBRAIC EXPRESSION
I. Choose the correct option.
1. When terms
A) Like terms
2.What
A) z-y
3.Find
have the same algebraic factor, they are called_______________
B) Un like terms c) binomial
d)none
is the algebraic expressions of subtraction of z from y.____________
B) 2z-y c)y-z
d) none
the value of x + 4 for x = 2. _________________
A)2
B)4
4.When terms
A) Like terms
C) -2
D) 6
have different algebraic factor, they are called___________
B) Un like terms c) Trinomial
- 5y2 from y2 ______________
A) -5y2-y2
B) -5y2+y2
c) y2-5y2
d)none
5.Subtract:
6.The
A)2 l
y2-(-5y2)
perimeter of a square whose side is l is _____________
B) l3
7.Algebraic
A)
8.An
d)
C) l2
D)4l
expression for”one half offx add to twice the number y” is
(B)
(C)
(D) 2x+2y
expression which contains three terms is called a ___________
A)monomial B)binomial
C) trinomial D)quadranomial
1
9.The value of 5n-2 at n = 5 is ______________
A)5
B)-1
10.Simplify:-
(A) a - b - c
11.Find
(A) 6
C) -2
D)0
c(b - a) + b (a - c) - a (b - c)
(B) 1
(C) 0
(D) c (a - b)
the product (3x - 2y) (2x - 3y) at x = 1, y = 0
(B) 8
(C) 1
(D) 0
12.A
binomial is an algebraic expression with
A) degree 2
B)two terms
C)two variables D) three variables
13.The
A)
Coefficient of x in
B) q2
q2a2x is
C) a2
D)
q2a2
number of terms in the expression 8x2yz is
A) 3
B)4
C)8
14.The
15.Which
D)1
of the following is not a polynomial
A) 8
B)81
C)
D)none of these
16.Which
of the following is a pair of like terms ?
(A) 3xy,3y
(B) 7ab2,-7a2b (C) -16pq3.24q3p
(D) -18x,-18y
17.6p2
(A) 6+ p2
(C) p2 + p2 + p2 + p2 + p2 + p2
18.Adding x2-y2-1,
2
2
(A) 2x +2y
(B) p2 x p2 x p2 x p2 x p2 x p2
(D) c (a - b)
y2-1-x2 and 1-x2-y2 we get
(B) 2
(C) 0
(D) -x2-y2-1
coefficient a2 in the -5a2+8ab is
(A) -5a
(B) -5
(C) 5
(D) 0
coefficient x2 in the -x2+y2 is
(A) 1
(B) -1
(C) -x
(D) 0
19.The
2
20.The
simplification -3a2-[2a2-14a2+b2] the value is
A) b2-a2
(B) b2-3a2
(C) 3a2+b2
21.On
22.a2 -(-a2
A) -2a2
) is equal to
(B) 2a2
23.(3p+q)-(p-q)
A) 4p
24.What
A) 3
equals
(B) 2q
(C) 0
(D) a4
(C) 2p+q
(D) 4p-2q
will be the value of a if 3x2+x+a equal 8 when x=1?
(B) 0
(C) 4
(D) 2
the value of 2m2+8n when m=-2 and n=6?
A) 54
(B) 53
(C) 4 2
(D) 0
25.Find
26.The
(D) 5a2-b2
sum of -11x and 7x is
A) -4x
(B) -18x
(C) 4 x
(D) 6x
27.xyz
is an algebraic expression which is a
A) monomial
(B) binomial
(C) trinomial
(D) none of these
like terms to 4a3y2z3 is
A) 4z a3y2
(B) y2z3a2
(C) 7z3a3y2
(D) 4a2y2z3
28.The
2
29.The
A) a
value of ax2+bx+c at x=
(B) b2-4ac
30.Which
x
y
(C) 0
(D)C
of these correctly describes the role between x and y as shown in the table ?
4
5
6
7
9
11
13
15
(B) y=x2+1
A) y=2x-1
31.
is
(C) y=x+5
(D) y=2x+1
=…………
A) ax
(B)
(C) 2ax
3
(D) 2 ax
expression which contains two unlike terms is called ………
A)monomial B)binomial C) trinomial D)quadranomial
32.An
33.An
expression which contains one term is called ……….
A)monomial B)binomial C) trinomial D)quadranomial
34.An
expression which contains three unlike terms is called…….
A)monomial B)binomial
C) trinomial D)quadranomial
expression with four or more terms is called ……….
A)monomial B)binomial C) trinomial D)quadranomial
35.An
III. Solve the following problems.(2M)
1.Using
Constants, variables and mathematical operations form the algebraic expression from the
following statements
A)A number y is multiplied by 2 and then 1 is subtracted from the product
B)The sum of square of x and product of x and y
2.Write
the terms and factors of each term of 2x2y2z2+15xyz
3.Write
the terms and factors of each term of 8.1x2+ 0.7y3x
4.Write
the numerical co-efficient for each term of the expression
A)12a2b2-5a2
B)6(2x-3y)
5.Write
the co-efficient of the following
A) xy in 12x2y+5
B) xyz in -10x2yz2
6.Add
the following terms
A) 3xy ,4xy and -2xy
B) 13p2q and -3qp2
7.Subtract
the following
A) 18x2pz from 9px2z
B)-4xyz from 2xyz
8.Find
the value of 81-4x2 for x=4
9.Find
the value of a2+b2-ab for a=1 and b=2
10.Find
the value of x2-x+1 for x=10
11.Find
the product of
12.Find
the values of 100 - 10x3 for x = 2.
13.Find
the value a2 + 2ab + b2 for a = 3, b = 2.
14.Identify
terms in the following expressions, which are not constants. Give their numerical coefficients:
15.Simplify
16.if
the expression:
5𝑚
m=2, find the value of 2 - 4.
If P=-2, find the value of -3p2+4p+7
If z=10, find the value of z3 -3(z-10)
IV. Solve the following problems.(3M)
1.Add x2-y2+8xy2-3y2
and 15xy2+2x2 +y2-x2?
2.Add
-5x-y-3, 3x-3y+2 and 4x+5y+7?
3.Add
-8a2b+3ab2-ab and 6a2b+5ab2-3ab?
4.Subtract
3x2-7xy+5y2-10 from x2+4xy-2y2+3?
2+p2-3pq+2q2 from 2+3p2-2pq+3q2
5.Subtract
6.Subtract x4-x2y2-y4
7.Simplify
from 2x4+4y4-3x2y2?
ab2+4a2b-3a2b+8ab2+5ab2+3ab2
8.Simplify
(a2+b2-2ab) + (2a2-b2+ab)- (a2-2b2 +ab)
9.Simplify
(2x2+2y2+2z2+3xyz )-( x2+y2+2xyz+z2)
10.Simplify
(3x+5y-x+2y )+( 5x+3y)-(2y-x_5x-3y)
11.How
much more is 15x3+10x+2 than 13x3-x+5.
12.What
should be added to 11x3+10p3+5x3p to get 6x3+20p3+2px3?
13.Subtract
14.Find
the sum of 15p+8q-pq and 23p-16q+5pq from 0?
the value of p if x3-px+10x2-6 equals 5 for x=-1
15.Three
sides of a triangle are ax2+x-1,2x2-3x+5 and -x2+4x+1 . find the perimeter of a triangle?
had 16y2+10y-3 Rs with her .She spent 7y2 +5y-5 Rs in the School Canteen . How many RS
are left with Ashima ?
16.Ashima
travelled 3m2+3n+4Km straight on a road and then came back 3n+m2 +2Km on the same road
. How far is she now from the starting?
17.Simran
18.Simplify
16a+15b-10a-4b for a=11 and b=8?
19.Simplify
4x3+x-10-(4x2+5x) for x=3?
20.Simplify
-2y2+13y+10y-10y+6y2 for y=-2?
21.For
what value of a will -p3+15ap+p2-9=16 for p=5?
22.For
what value of p will the expression 16x+2x2+5p =50 at x=-3?
23.What
24.Find
should be added to x2+xy+y2 to obtain 2x2 3xy?
the value of the expressions (i) n3 + 5n2 + 5n -2
(ii) 5n2+5n-2 for n = -2
25.Subtract
24ab - 10b - 18a from 30ab + 12b + 14a
26.simplify
the expression and find the value for x = 2 4(2x-1) + 3x+11
V. Solve the following problems.(4M)
x2 - x3+ and -x2 + x3+x-
1.Add
x2 + x+9 and
2.Subtract
x2 - x-9
3.Simplify
[3p2-2p- ]+(1-p2)+(p2-6p)+(2p- )
4.Subtract
4x-5y+3z from the sum of 9x+2y-3z-10x+y-z and 2x+3y+7z
5.Subtract
the sum of 6m+5n-7p2 and 6p2-2m+n from the sum of 2m+3n-10p2 and -m-2n-3p2
6.Subtract
the sum of 3p+q-r and 15p+4q-8r from the from the difference of 10p from 5p-q+8r?
7.By
how much is -10x+y greater than the sum of -20x+8yand 5x-25y?
P=17x3+15x2-7x+9
Q=-10x3-5x2+2x+1 and
R=11x3-6x2+5x+10 then find
P+Q-R ?
8.If
P=17x3+15x2-7x+9
Q=-10x3-5x2+2x+1 and
R=11x3-6x2+5x+10 then find
P-(Q+R) ?
9.If
10.From
the sum of3x2+4x-2 and -2 x2+2x+1 Subtract the sum of 5+6x2-4x and 15x-x2+2?
11.From
the sum of 2y2 + 3yz, - y2 - yz - z2 and yz + 2z2, subtract the sum of 3y2 - z2 and - y2 + yz + z2.
12.From
the sum of 4+3x and 5-4x+2x2, subtract the sum of 3x2-5x and x2+2x-5
13.Simplify
14.Find
(i)
(ii)
the expression and find its value when a= 5 and b= -3, 2 (a2+ab)+3-ab.
the value of the following expressions for a=3, b=2
a2+2ab+b2
a3-b3
(iii)
15.Find
(i)
(ii)
(iii)
7a-7b
the value of the following expressions for a=3, b=2
a2+2ab+b2
a3-b3
7a-7b