Algebraic Expressions Test

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Algebraic Expressions Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

The length of a side of square is given as $$2x+3$$. Which expression represents the perimeter of the square.

A
$$2x+16$$

B
$$6x+9$$

C
$$8x+3$$

D
$$8x+12$$

Solution

Given, side of the square $$=(2x+3)$$
Perimeter of square $$=4\times side$$
$$=4\times (2x+3)$$
$$=8x+12$$
Question 2
1 / -0

Number of terms in the expression $$3{ x }^{ 2 }{ y }-2{ y }^{ 2 }{ z }-{ z }^{ 2 }x+5$$ is

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

The terms in the expression are $$3{ x }^{ 2 }{ y },-2{ y }^{ 2 }{ z },-{ z }^{ 2 }x$$ and $$5$$ is natural number. hence the total number of terms is $$4$$
Question 3
1 / -0

The terms of the expression $$4{ x }^{ 2 }-3xy$$ are:

A
$$4{ x }^{ 2 }$$ and $$-3xy$$

B
$$4{ x }^{ 2 }$$ and $$3xy$$

C
$$4{ x }^{ 2 }$$ and $$-xy$$

D
$${ x }^{ 2 }$$ and $$xy$$

Solution

Terms in the expression $$4{x}^{2}-3xy$$ are $$4{ x }^{ 2 }$$ and $$-3xy$$
Question 4
1 / -0

The sum of $$-7pq$$ and $$2pq$$ is

A
$$-9pq$$

B
$$ \ 9pq $$

C
$$\ 5pq $$

D
$$ - 5pq$$

Solution

Guven monomials are $$-7pq$$ and $$2pq$$
$$\therefore$$ Required sum $$=(- 7pq) + (2pq )$$
$$-7pq+2q$$
$$= (-7+2) pq\qquad[\because -7pq$$ and $$2pq$$ are like terms $$]$$
$$ = -5pq$$

Hence, the correct answer is option (D).
Question 5
1 / -0

If we subtract $$-3x^{2}y^{2}$$ from $$x^{2}y^{2}$$, then we get

A
$$-4x^{2}y^{2} $$

B
$$ - 2x^{2}y^{2}$$

C
$$ 2x^{2}y^{2}$$

D
$$ 4x^{2}y^{2}$$

Solution

Given monomials are : $$-3x^{2}y^{2}$$ from $$x^{2}y^{2}$$
Required difference $$=(x^2y^2)-(-3x^2y^2)$$
$$=x^2y^2+3x^2y^2$$
$$=(1+3)x^2y^2$$ [Since the given monomials are like terms]
$$=4x^{2}y^{2}$$

Hence, option (D) is the correct answer.
Question 6
1 / -0

Sum of $$a-b + ab$$ , $$b +c-bc$$ and $$c -a-ac$$ is

A
$$2c+ab-ac-bc$$

B
$$ 2c - ab-ac-bc$$

C
$$2c+ab+ac+bc$$

D
$$ 2c -ab+ac + bc$$

Solution

Sum of $$a-b + ab$$ , $$b +c-bc$$ and $$c -a-ac$$
$$=(a-b+ab)+(b-c-bc)+(c-a-ac)$$
$$=a-b+ab+b+c-bc+c-a-ac$$
Rearranging and collecting like terms,
$$=a-a-b+b+c+c+ab-bc-ac$$
$$=2c+ab-ac-bc$$

Hence, option (A) is correct.
Question 7
1 / -0

$$-xy-(-5xy)$$ is equal to

A
$$-6xy$$

B
$$6xy$$

C
$$-4xy$$

D
$$4xy$$

Solution

$$\begin{aligned}{} - xy - ( - 5xy) &= - xy + 5xy\\& = ( - 1 + 5)xy\\ &= 4xy\end{aligned}$$
Question 8
1 / -0

On subtracting 7x+5y-3 from 5y-3x-9 we get

A
10x +6

B
-10x-6

C
10x+10y-12

D
-10x-12

Solution

$$(5y-3x-9)-(7x+5y-3)$$
$$=5y-3x-9-7x-5y+3$$
$$=-10x-6$$
Question 9
1 / -0

If the perimeter of rectangle is given by $$2(a+b)$$, where $$a$$ and $$b$$ denotes the length and breadth of the rectangle respectively.. The variable used here are ____ and ____.

A
$$2$$ and $$a$$

B
$$2$$ and $$b$$

C
$$a $$ and $$b$$

D
$$2, a$$ and $$b$$

Solution
Question 10
1 / -0

If $$a$$ represent the side of a square, then perimeter of the square is ____.

A
$$2a$$

B
$$4a$$

C
$$6a$$

D
$$8a$$

Solution

Given side of square: $$a$$ units
We know $$\textit{Perimeter of square} = 4 \times side$$

$$\therefore$$ the required expression here is $$4a$$

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Re-Attempt Weekly Quiz Competition

Algebraic Expressions Test - 18

Result

Algebraic Expressions Test - 18

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SHARING IS CARING

Question 1

$$2x+16$$

$$6x+9$$

$$8x+3$$

$$8x+12$$

Solution

Question 2

$$2$$

$$3$$

$$4$$

$$5$$

Solution

Question 3

$$4{ x }^{ 2 }$$ and $$-3xy$$

$$4{ x }^{ 2 }$$ and $$3xy$$

$$4{ x }^{ 2 }$$ and $$-xy$$

$${ x }^{ 2 }$$ and $$xy$$

Solution

Question 4

$$-9pq$$

$$ \ 9pq $$

$$\ 5pq $$

$$ - 5pq$$

Solution

Question 5

$$-4x^{2}y^{2} $$

$$ - 2x^{2}y^{2}$$

$$ 2x^{2}y^{2}$$

$$ 4x^{2}y^{2}$$

Solution

Question 6

$$2c+ab-ac-bc$$

$$ 2c - ab-ac-bc$$

$$2c+ab+ac+bc$$

$$ 2c -ab+ac + bc$$

Solution

Question 7

$$-6xy$$

$$6xy$$

$$-4xy$$

$$4xy$$

Solution

Question 8

10x +6

-10x-6

10x+10y-12

-10x-12

Solution

Question 9

$$2$$ and $$a$$

$$2$$ and $$b$$

$$a $$ and $$b$$

$$2, a$$ and $$b$$

Solution

Question 10

$$2a$$

$$4a$$

$$6a$$

$$8a$$

Solution

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