Algebraic Expressions Test

Result

Algebraic Expressions Test - 12

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Simplify the expression $$(2b^3c^2+b^2c-4bc)-(b^3c^2-b^2c-4bc)$$.

A
0

B
$$b^3c^2$$

C
$$b^3c^2+2b^2c$$

D
$$b^3c^2+2b^2c-8bc$$

Solution

On simplification, we get
$$(2b^3c^2+b^2c-4bc)-(b^3c^2-b^2c-4bc)$$
$$\Rightarrow 2b^3c^2+b^2c-4bc-b^3c^2+b^2c+4bc$$
$$\Rightarrow b^3c^2+2b^2c$$
Question 2
1 / -0

If two unlike terms are added , the result will be a

A
monomial

B
binomial

C
trinomial

D
polynomial

Solution

Addition of two unlike terms will result in binomial.
Question 3
1 / -0

Simplify $$(2x^2+4x+8)-(2x^2-4x+7)$$

A
$$4x^2+8x+15$$

B
$$2x^2+x+1$$

C
$$8x+1$$

D
$$8x+15$$

Solution

On simplifying, we get
$$ (2x^2+4x+8)-(2x^2-4x+7)$$
$$\Rightarrow 2x^2+4x+8-2x^2+4x-7$$
$$\Rightarrow 8x+1$$
Question 4
1 / -0

$$ \left( a+2b+3c \right) -\left( 4a+6b-5c \right) $$ is equivalent to:

A
$$ -4a-8b-2c$$

B
$$ -4a-4b+8c$$

C
$$ -3a+8b-2c$$

D
$$-3a-4b-2c$$

E
$$ -3a-4b+8c$$

Solution

The value of $$(a+2b+3c)-(4a+6b-5c)$$
$$\Rightarrow a+2b+3c-4a-6b+5c$$
$$\Rightarrow -3a-4b+8c$$
Question 5
1 / -0

Simplify: $$\left( -3p{ q }^{ 2 }+4pq \right) -\left( 7pq-9p{ q }^{ 2 } \right) $$

A
$$6p{ q }^{ 2 }+3pq$$

B
$$6p{ q }^{ 2 }-3pq$$

C
$$-12p{ q }^{ 2 }+3pq$$

D
$$-12p{ q }^{ 2 }-3pq$$

Solution

$$\left ( -3pq^{2}+4pq \right )-\left ( 7pq-9pq^{2} \right )$$
$$=-3pq^{2}+4pq-7pq+9pq^{2}$$
$$=-3pq^{2}+9pq^{2}+4pq-7pq$$
$$=6pq^{2}-3pq$$
Question 6
1 / -0

The expression $$\left( { x }^{ 2 }y-3{ y }^{ 2 }+5x{ y }^{ 2 } \right) -\left( -{ x }^{ 2 }y+3x{ y }^{ 2 }-3{ y }^{ 2 } \right) $$ is equivalent to which of the following expression?

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

B
$$8x{ y }^{ 2 }-6{ y }^{ 2 }$$

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

D
$$2{ x }^{ 2 }y+8x{ y }^{ 2 }-6{ y }^{ 2 }$$

Solution

We have,
$$(x^2y-3y^2+5xy^2)-(-x^2y+3xy^2-3y^2) $$

$$= x^2y-3y^2+5xy^2+x^2y-3xy^2+3y^2$$

$$=2x^2y+2xy^2$$

Therefore, option C is correct.
Question 7
1 / -0

Simplify :$$\left( -8pst+3prq-14 \right) -\left( 7prq-20+2pst \right) =$$

A
$$6-10pst+10prq$$

B
$$6-10pst-4prq$$

C
$$-6pst-10prq+6$$

D
$$-10pst-4prq-34$$

Solution

$$(-8pst+3prq-14)-(7prq-20+2pst)$$
$$=-8pst+3prq-14-7prq+20-2pst$$
$$=-8pst-2pst+3prq-7prq-14+20$$
$$=-10pst-4prq+6$$
$$=6-10pst-4prq$$
Question 8
1 / -0

What must be subtracted from $$3{ x }^{ 2 }+4{ y }^{ 2 }-5$$ to get $$2{ x }^{ 2 }-3{ y }^{ 2 }+5$$?

A
$${ x }^{ 2 }+3{ y }^{ 2 }+5$$

B
$${ x }^{ 2 }-4{ y }^{ 2 }+5$$

C
$${ x }^{ 2 }+7{ y }^{ 2 }-10$$

D
$${ x }^{ 2 }-7{ y }^{ 2 }-10$$

Solution

Subtract both expression to get the answer

$$\Rightarrow \left ( 3x^{2}+4y^{2}-5 \right )-\left ( 2x^{2}-3y^{2}+5 \right )$$

$$=3x^{2}+4y^{2}-5-2x^{2}+3y^{2}-5$$

$$=3x^{2}-2x^{2}+4y^{2}+3y^{2}-5-5$$

$$=x^{2}+7y^{2}-10$$
Question 9
1 / -0

An expression is taken away from $$3x^{2} - 4y^{2} + 5xy + 20$$ to obtain $$-x^{2} - y^{2} + 6xy + 20$$, then the expression is __________.

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

B
$$2x^{2} - 5y^{2} + xy + 40$$

C
$$3y^{2} - xy - 4x^{2}$$

D
$$4x^{2} + 3y^{2} + xy$$

Solution

We are given two expression
$$3x^{2}-4y^{2}+5xy+20$$ ................................(1)

$$-x^{2}-y^{2}+6xy+20$$ ................................(2)

An expression is taken away from (1) to obtain (2) is given by

$$3x^{2}-4y^{2}+5xy+20 - (-x^{2}-y^{2}+6xy+20)$$
$$ = 3x^{2}-4y^{2}+5xy+20 +x^{2}+y^{2}-6xy-20)$$
$$ = 4x^{2}-3y^{2}-xy$$
Question 10
1 / -0

Simplify : $$(a^{3} - 2a^{2} + 4a - 5) - (-a^{3} - 8a + 2a^{2} + 5)$$.

A
$$2a^{3} + 7a^{2} + 6a - 10$$

B
$$2a^{3} + 7a^{2} + 12a - 10$$

C
$$2a^{3} - 4a^{2} + 12a - 10$$

D
$$2a^{3} - 4a^{2} + 6a - 10$$

Solution

We need to simplify $$(a^{3}-2a^{2}+4a-5) - (-a^{3}-8a+2a^{2}+5)$$
$$=a^{3}-2a^{2}+4a-5 +a^{3}+8a-2a^{2}-5$$
$$=(a^{3}+a^{3})+(-2a^{2}-2a^{2})+(4a+8a)-10$$
$$=2a^{3}-4a^{2}+12a-10$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Algebraic Expressions Test - 12

Result

Algebraic Expressions Test - 12

Score

-

Rank

-

SHARING IS CARING

Question 1

0

$$b^3c^2$$

$$b^3c^2+2b^2c$$

$$b^3c^2+2b^2c-8bc$$

Solution

Question 2

monomial

binomial

trinomial

polynomial

Solution

Question 3

$$4x^2+8x+15$$

$$2x^2+x+1$$

$$8x+1$$

$$8x+15$$

Solution

Question 4

$$ -4a-8b-2c$$

$$ -4a-4b+8c$$

$$ -3a+8b-2c$$

$$-3a-4b-2c$$

$$ -3a-4b+8c$$

Solution

Question 5

$$6p{ q }^{ 2 }+3pq$$

$$6p{ q }^{ 2 }-3pq$$

$$-12p{ q }^{ 2 }+3pq$$

$$-12p{ q }^{ 2 }-3pq$$

Solution

Question 6

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

$$8x{ y }^{ 2 }-6{ y }^{ 2 }$$

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

$$2{ x }^{ 2 }y+8x{ y }^{ 2 }-6{ y }^{ 2 }$$

Solution

Question 7

$$6-10pst+10prq$$

$$6-10pst-4prq$$

$$-6pst-10prq+6$$

$$-10pst-4prq-34$$

Solution

Question 8

$${ x }^{ 2 }+3{ y }^{ 2 }+5$$

$${ x }^{ 2 }-4{ y }^{ 2 }+5$$

$${ x }^{ 2 }+7{ y }^{ 2 }-10$$

$${ x }^{ 2 }-7{ y }^{ 2 }-10$$

Solution

Question 9

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

$$2x^{2} - 5y^{2} + xy + 40$$

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

$$4x^{2} + 3y^{2} + xy$$

Solution

Question 10

$$2a^{3} + 7a^{2} + 6a - 10$$

$$2a^{3} + 7a^{2} + 12a - 10$$

$$2a^{3} - 4a^{2} + 12a - 10$$

$$2a^{3} - 4a^{2} + 6a - 10$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.