## 20 Questions MCQ Test NCERT Mathematics for CAT Preparation | Olympiad Test: Algebraic Expressions

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Attempt Olympiad Test: Algebraic Expressions | 20 questions in 20 minutes | Mock test for Class 7 preparation | Free important questions MCQ to study NCERT Mathematics for CAT Preparation for Class 7 Exam | Download free PDF with solutions
QUESTION: 1

Solution:
QUESTION: 2

### The coefficient of y3 in the expression y − y3+ y2is

Solution:

Coefficient is the numerical number associated with the variable. So here we have (-1)y3. 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 = 6a2

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)= a2+ b2+2ab
so,(2x+3y)= (2x)2+2*2x*3y+(3y)= 4x2+12xy+9y2

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 x3 - x2y2 - 8y2+ 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 – x2 + 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 +4x2 + 4a

Solution:

2b-8x+4x2+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 x2-y2 from y- x2?

Solution:

y2-x2-(x2-y2)=y2-x2-x2+y2=2y2-2x2=-2(x2-y2)

QUESTION: 15

What should be taken away from 3x2− 4y2+ 5xy+ 20 to obtain −x2−y2+ 6xy+ 20?

Solution:

3x- 4y+ 5xy + 20-  (-x- y+ 6xy+20)
=3x- 4y+ 5xy + 20 + x2 + y- 6xy-20)
=4x2-3y2-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 y2in the expression 2x2y - 15xy+ 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, −p2q2, -7pq, -23, ab, 3a, b.The like terms are

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