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This mock test of Test: Algebraic Expressions - 2 for Class 7 helps you for every Class 7 entrance exam.
This contains 20 Multiple Choice Questions for Class 7 Test: Algebraic Expressions - 2 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The constant term in the expression 1 + x^{2}+ x is

Solution:

QUESTION: 2

The coefficient of y^{3 }in the expression y − y^{3}+ y^{2}is

Solution:

Coefficient is the numerical number associated with the variable. So here we have (-1)y^{3}. So the answer is -1.

QUESTION: 3

Multiply 2a and 3a.

Solution:

multiplication of a number with variable gives multiplication of integer with integer and variables with variables

in given question, it'll lead to

2a x 3a = 6a^{2}

QUESTION: 4

Get the algebraic expressions for subtraction of z from y.

Solution:

QUESTION: 5

Find the value of x + 4 for x = 2.

Solution:

QUESTION: 6

Find the product of (2x+3y)(2x+3y).

Solution:

Applying (a+b)^{2 }= a^{2}+ b^{2}+2ab

so,(2x+3y)^{2 }= (2x)^{2}+2*2x*3y+(3y)^{2 }= 4x^{2}+12xy+9y^{2}

QUESTION: 7

When terms have the same algebraic factor, they are called __________.

Solution:

QUESTION: 8

An expression which contains two unlike terms is called _______.

Solution:

QUESTION: 9

A _________ can take various values.

Solution:

QUESTION: 10

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

Solution:

The largest such degree is the degree of the polynomial.

Here, there are 2 variables so the largest exponent of variables (x & y) is 4 i.e (2+2).

QUESTION: 11

Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.

3x – 5a – x^{2} + 9b

Solution:

3x - 5a -x 2 + 9b = 3*3 - 5(-1)-32 + 9 (-2) = 9 + 5 -9 - 18 = 5 - 18 = -13

QUESTION: 12

Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.

2b – 8x +4x^{2} + 4a

Solution:

2b-8x+4x^{2}+4a

=2(-2)-8(3)+ 4(3)^{2}+4(-1)

=-4-24+36-4

=4

QUESTION: 13

Simplify combining like terms: 3a – 2b – ab – (a – b + ab) + 3ab + b – a

Solution:

QUESTION: 14

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

Solution:

y^{2}-x^{2}-(x^{2}-y^{2})=y^{2}-x^{2}-x^{2}+y^{2}=2y^{2}-2x^{2}=-2(x^{2}-y^{2})

QUESTION: 15

What should be taken away from 3x^{2}− 4y^{2}+ 5xy+ 20 to obtain −x^{2}−y^{2}+ 6xy+ 20?

Solution:

3x^{2 }- 4y^{2 }+ 5xy + 20- (-x^{2 }- y^{2 }+ 6xy+20)

=3x^{2 }- 4y^{2 }+ 5xy + 20 + x^{2} + y^{2 }- 6xy-20)

=4x^{2}-3y^{2}-xy

QUESTION: 16

The number of terms in the expression 1.2ab – 2.4 b + 3.6a is

Solution:

QUESTION: 17

What is the numerical coefficient of y^{2}in the expression 2x^{2}y - 15xy^{2 }+ 7y

Solution:

QUESTION: 18

The simplified form of the Boolean expression (X + Y + XY)(X + Z) is

Solution:

=(x+y(1+x))(x+z)

=(x+y)(x+z)

=x.x+x.z+y.x+y.z

=x+xz+yx+yz

=x(1+z)+yx+yz

=x+yx+yz

=x(1+y)+yz

=x+yz

QUESTION: 19

The expression xyz is

Solution:

QUESTION: 20

From the following expressions 10pq, 7p, 8q, −p^{2}q^{2}, -7pq, -23, ab, 3a, b.The like terms are

Solution:

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