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QUESTION: 1

The number of terms in the expression 2x^{2}+3x+5 is

Solution:

Yes 3 as the terms are 2x^{2} ,3x, 5

QUESTION: 2

The coefficient of x in the expression -7x +5 is

Solution:

QUESTION: 3

The numerical coefficient of y in the expression 2x+3y+7z is

Solution:

Since the expression 2x+3y+7z cannot be added as they have different variables so the coefficient of y is 3 only.

QUESTION: 4

The expression y+z+100 is a

Solution:

QUESTION: 5

The expression 7xy has the factors

Solution:
The expression has different factors that are 7,x,y because an expression can't be made without factors.

QUESTION: 6

The common factors of the terms 2y. 22xy is

Solution:

Factors of 22xy are 2*11*x*y, so common factors are 2y.

QUESTION: 7

‘2’ is common factor of the expressions

Solution:

QUESTION: 8

The factorization of 7a^{2}+14a is

Solution:

QUESTION: 9

The addition of ab-bc, bc-ca, ca-ab is

Solution:

ab-bc+bc-ca+ca-ab=0, because we have ab-ab,bc-bc,ca-ca all equal to zero.

QUESTION: 10

One of the example of binomial is

Solution:

QUESTION: 11

The area of triangle is’ xy’ where’ x’ is length and ‘y’ is breadth. If the length of rectangle is increased by 5 units and breadth is decreased by 3 units, the new area of rectangle will be

Solution:

QUESTION: 12

The value of 2x (-3x) is

Solution:
We must multiply 2 with 3 an we get -6 and multiply x with x is equal to x2 therefore d is the answer.

QUESTION: 13

Like terms in the expression 7x,5x^{2},7y, -5yx, -9x^{2}, are

Solution:

Like terms consist of same variables with same powers.

QUESTION: 14

Area of rectangle of length’ 3x’ and breadth ‘5y ‘is

Solution:

QUESTION: 15

Number of terms in the expression xyz+1 is

Solution:

QUESTION: 16

The product of -4p and 7p is

Solution:

QUESTION: 17

What degree does x^{3} - x^{2}y^{2} - 8y^{2}+ 2 have?

Solution:

**The correct answer is c**

** The given quadratic polynomial:**

**To find the highest degree of the polynomial **

**The degree of = 3**

**The degree of = 2 + 2 = 4**

**The degree of = 2 and**

**The degree of 2 = 0**

**∴ The highest degree of the given polynomial = 4**

**Hence, the highest degree of the given polynomial = 4**

QUESTION: 18

Multiplication of pq+qr+rp and ‘zero’ is

Solution:

QUESTION: 19

The value of 3x(4x-5)+3 for x = 3

Solution:

QUESTION: 20

The volume of rectangular box whose length, breadth and height is 2p,4q.8r respectively is

Solution:

length = 2p

breadth =4q

height =8r

Volume = length x breadth x height

=2p x 4q x 8r

=64pqr

Answer : 64pqr

QUESTION: 21

Numerical coefficient of x^{2y} in the expression 1+x+2x^{2y} is

Solution:

QUESTION: 22

What is the value of 5x^{25} - 3x^{32} + 2x^{-12} at x = 1 ?

Solution:

**The correct answer is c**

**5x^25-3x^32+2x^-12**

**By putting value of x = 1**

**5(1)^25-3(1)^32+2(1)^-12**

**5×(1)-3×(1)+2×(1)**

**If we give 1 any raised power the answer is always 1 .e.g 1^4= 1×1×1×1=1**

**=5-3+2. = 2+2. = 4**

**26.(489136) The correct answer is a.**

**36x**

**Where 6×6 = 36**

**So, 6×6×6= 216.**

**x = 6**

QUESTION: 23

Which of the following expression is trinomial

Solution:

QUESTION: 24

Which of the following expression is monomial

Solution:

QUESTION: 25

Multiplication of ‘ab’ and ‘a-b’ is

Solution:

QUESTION: 26

The suitable identity to find (x+3)(x+3) is

Solution:

QUESTION: 27

Value of (4p – 3q)^{2} is

Solution:

Using (a-b)^{2}, (4p-3q)^{2}=16p^{2}-24pq+9q^{2}

QUESTION: 28

(9x+a)(x+b) is equal to

Solution:

QUESTION: 29

Value of expression ‘a(a^{2}+a +1)+5’ for ‘ a’ = 0 is

Solution:
It's correct ans would be 5 because if a,=0 then a( aÂ²+ a+ 1)+5 so, if a=0 then, 0(0Â²+ 0+ 1) +5 0x(0x0+0+1)+5 0x1 +5 any no multiplied by 0 is 0 so, 0x1 =0+5=5 therefore, the correct ans is 5.

QUESTION: 30

Which of the following is not binomial

Solution:

QUESTION: 31

Subtracting 7x +y from –x +y gives

Solution:

QUESTION: 32

Which identity is used to evaluate (m+3)(m+2).

Solution:

QUESTION: 33

Use suitable identity to evaluate 99^{2.}

Solution:

QUESTION: 34

Evaluate (4x+y)^{2 }by suitable identity

Solution:

QUESTION: 35

Find the value of 95 x 102 by suitable identity.

Solution:

95 x 102 = (100-5)(100+2) = 100^{2}+(-5+2)100+(-5)2 = 10000-300-10 = 9690

QUESTION: 36

Which of the following is obtained by subtracting x^{2}-y^{2} from y^{2 }- x^{2}?

Solution:

Expanding

(t+s^{2})(t^{2}-s) = t ((t^{2}-s)+s^{2}(t^{2}-s) = t^{3}-s^{3}+t^{2}s^{2}-ts

QUESTION: 37

(a-b)^{2} is equal to

Solution:

QUESTION: 38

Using identity a^{2} – b^{2} = (a+b)(a-b), find 4^{2}-6^{2}

Solution:

4^{2} - 6^{2}=(4-6)(4+6)=-2*10=-20

QUESTION: 39

The expression in one variable is

Solution:

Since option (b),(c) and (d) have two variables x and y ,the answer is x+x^{2}+1

QUESTION: 40

(a+b)(a-b) is equal to

Solution:

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