Algebraic Expressions and Identities Test

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Algebraic Expressions and Identities Test - 17

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Weekly Quiz Competition

Question 1
1 / -0

$$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + M$$, find M.

A
$$12xy$$

B
$$10xy$$

C
$$12$$

D
$$10$$

Solution

$$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + 12xy$$, ................. $$(a+b)^2= a^2+2ab+b^2$$

hence, $$M = 12xy$$
Question 2
1 / -0

Find the product of the following pairs of monomials.
$$4p\ \&\ 0$$

A
$$4p$$

B
$$4$$

C
4$$+$$p

D
$$0$$

Solution

$$4p, 0$$
The product of the monomial pair is,
$$=4\times p\times 0$$
$$=0$$
Question 3
1 / -0

Find the product of the following pair of monomials.
$$4p$$ & $$7p$$

A
$$ 28p+2$$

B
$$ 28$$

C
$$ 28p^2$$

D
$$ 28p$$

Solution

Given: $$4p, 7p$$
The product of the monomial pair is:
$$=4\times p\times 7\times p$$
$$=(4\times 7)\times(p\times p)$$
$$=28p^2$$
Question 4
1 / -0

Find the product of the following pairs of monomials.
$$4p, 7pq$$

A
$$ p^2q$$

B
$$ 28p^2q$$

C
$$ 28pq$$

D
$$ 28p^2$$

Solution

$$4p, 7pq$$
The product of the monomial pair is,
$$=4\times p\times 7\times p\times q$$
$$=(4\times 7)\times(p\times p\times q)$$
$$=28p^2q$$
Question 5
1 / -0

Multiply: $$4p, q + r$$

A
$$4r + 4pr$$

B
$$4q + pr$$

C
$$4p + pr$$

D
$$4pq + 4pr$$

Solution

$$4p, q + r$$
$$=4p\times( q + r)$$
$$=4pq+4pr$$
Question 6
1 / -0

The coefficient of $$x^2$$ in $$(2-3x^2) (x^2-5)$$ is :

A
$$-17$$

B
$$-10$$

C
$$-3$$

D
$$17$$

Solution

$$(2-3x^2)(x^2-5)$$
$$=-3x^4+17x^2-10$$
A Coefficient is a constant number multiplied with a variable.
Here as $$17$$ is multiplied with $$x^2$$. so it becomes the coefficient.
Hence, $$D$$ is the correct answer.
Question 7
1 / -0

Find the product of the following pairs of monomials.
$$4p^3, 3p$$

A
$$12p$$

B
$$12p^4$$

C
$$12p+4$$

D
$$p^4$$

Solution

$$4p^3, 3p$$
The product of the monomial pair is,
$$=4\times p\times p\times p\times 3\times p$$
$$=(4\times 3)\times(p\times p\times p\times p)$$
$$=12p^4$$
Question 8
1 / -0

Obtain the product of: $$xy, yz, zx$$

A
$$x^3y^2z^2$$

B
$$x^2y^2y^2$$

C
$$x^2y^2z^2$$

D
$$x^2y^2y^y$$

Solution

$$xy, yz, zx$$
$$=xy\times yz\times zx$$
$$=x^2y^2z^2$$
Question 9
1 / -0

Find the product of the following pairs of monomials
$$4$$ & $$7p$$

A
$$28p$$

B
$$36p$$

C
$$47p$$

D
$$32p$$

Solution

$$\begin{aligned}{}4 \times 7p &= \left( {4 \times 7} \right)p\\ &= 28p\end{aligned}$$
Question 10
1 / -0

Obtain the product of: $$m, mn, mnp$$

A
$$ m^2n^3p$$

B
$$ n^3m^2p$$

C
$$ m^3n^2p$$

D
$$ m^4n^2p$$

Solution

$$m, mn, mnp$$
$$=m\times mn\times mnp$$
$$=m^3n^2p$$

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Re-Attempt Weekly Quiz Competition

Algebraic Expressions and Identities Test - 17

Result

Algebraic Expressions and Identities Test - 17

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Rank

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SHARING IS CARING

Question 1

$$12xy$$

$$10xy$$

$$12$$

$$10$$

Solution

Question 2

$$4p$$

$$4$$

4$$+$$p

$$0$$

Solution

Question 3

$$ 28p+2$$

$$ 28$$

$$ 28p^2$$

$$ 28p$$

Solution

Question 4

$$ p^2q$$

$$ 28p^2q$$

$$ 28pq$$

$$ 28p^2$$

Solution

Question 5

$$4r + 4pr$$

$$4q + pr$$

$$4p + pr$$

$$4pq + 4pr$$

Solution

Question 6

$$-17$$

$$-10$$

$$-3$$

$$17$$

Solution

Question 7

$$12p$$

$$12p^4$$

$$12p+4$$

$$p^4$$

Solution

Question 8

$$x^3y^2z^2$$

$$x^2y^2y^2$$

$$x^2y^2z^2$$

$$x^2y^2y^y$$

Solution

Question 9

$$28p$$

$$36p$$

$$47p$$

$$32p$$

Solution

Question 10

$$ m^2n^3p$$

$$ n^3m^2p$$

$$ m^3n^2p$$

$$ m^4n^2p$$

Solution

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