Algebraic Expressions and Identities Test

Result

Algebraic Expressions and Identities Test - 29

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

Obtain the product of: $$rn, -mn, mnp$$

A
$$-m^3n^3p$$

B
$$-m^2n^2p$$

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

D
$$-m^3n^2p$$

Solution

product of rn,mn,mnp
$$rn \times -mn \times mnp = (1\times -1 \times 1) \times (r \times m \times m \times n \times n \times n \times p)$$
=$$ -1 \times r \times m^2 \times n^3 \times p$$
=$$-rm^2n^3p$$
Question 2
1 / -0

Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
$$a, 2b, 3c$$

A
$$6abc$$

B
$$3ab$$

C
$$2abc$$

D
$$9ac$$

Solution

volume of rectangular box= length $$\times$$ breadth $$\times$$ height
volume = $$a \times 2b \times 3c $$
= $$(1 \times 2 \times 3) \times (a \times b \times c) $$
$$= 6abc$$
Question 3
1 / -0

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

A
$$13p^2$$

B
$$22p^2$$

C
$$28p$$

D
$$8p$$

Solution

$$4\times 7 p=(4\times 7)p=28p$$
Question 4
1 / -0

Find the product of the following pairs of monomials:
$$-4p, 7p$$

A
$$-28p^2$$

B
$$14p^2$$

C
$$-12p^2$$

D
$$16p^2$$

Solution

After multiplying the above two monomials we get
$$-4p \times 7p =(-4 \times 7) \times (p \times p) $$
$$= - 28p^2$$
$$=-28p^2$$
Question 5
1 / -0

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

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

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

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

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

Solution

product of xy, yz, zx is
$$ xy \times yz \times zx = x \times x \times y \times y \times z \times z $$
= $$x^{1 +1} \times y^{1+1} \times z^{1+1}$$
= $$x^2y^2z^2$$
Question 6
1 / -0

Carry out the multiplication of the expressions in the following pair:
$$a^2 -9, 4a$$

A
$$ a^3 -12a$$

B
$$ 4a^3 -22a$$

C
$$ a^3 -16$$

D
$$ 4a^3 -36a$$

Solution

multiplication of $$a^2 -9, 4a$$
=$$ (a^2-9) \times 4a = a^2 \times 4a -9 \times 4a$$
$$ 4a^3 -36a$$
Question 7
1 / -0

Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
$$ 5a, 3a^2, 7a^4$$

A
$$102a^7$$

B
$$105a^7$$

C
$$192a^7$$

D
$$606a^7$$
Question 8
1 / -0

Carry out the multiplication of the expressions in the following pair:
$$4p,q+r$$

A
$$ pq - 4pr$$

B
$$ 4pq + 4pr$$

C
$$ pq + 4pr$$

D
$$ 4q + 4pr$$
Question 9
1 / -0

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively
$$(p, q); (10m, 5n); (20x^2, 5y^2); (4x, 3x^2); (3mn, 4np)$$

A
$$100x^2y^2 ;12x^3 ; 12mn^2p$$

B
$$100x^2y^2 ;12x^2 ; 12mn^2p$$

C
$$100x^2y ;12x^3 ; 12mn^2p$$

D
$$100x^2y^2 ;12x^3 ; 12mnp$$

Solution

We know that the area of a rectangle = I $$\times $$ b, where I = length and b = breadth.
Therefore, the areas of rectangles with pair of monomials $$(p, q), (10m, 5n); (20x^2, 5y^2); (4x, 3x^2)$$and$$ (3mn, 4np) $$as their lengths and breadths are given by $$p\times q = pq$$
1.$$ 10m \times n =(10 \times5) \times (m \times n) = 50mn$$
2. $$20x^2 \times 5y^2= (20 \times 5) \times (x^2 \times y^2) = 100x^2y^2$$
3. $$4x \times 3x^2 = (4 \times 3) \times (x \times x^2)$$
= $$12x^3$$
and,
4. $$3mn \times 4np = (3\times4) \times (m \times n \times n \times p) $$
= $$12mn^2p$$
Question 10
1 / -0

Find the product $$(5 - 2x) (3 + x)$$

A
$$(5-2x)(3+x) = (3+ x)-2x(3-x)$$

B
$$(5-2x)(3+x) = (3+ x)-2x(3+x)$$

C
$$(5-2x)(3-x) = 5(3+ x)-2x(3+x)$$

D
$$(5-2x)(3+x) = 5(3+ x)-2x(3+x)$$

Solution

$$(5-2x)(3+x) = 5(3+ x)-2x(3+x)$$
$$ = 15+5x-6x-2x^2$$
$$ =-2x^2 -x+ 15$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Algebraic Expressions and Identities Test - 29

Result

Algebraic Expressions and Identities Test - 29

Score

-

Rank

-

SHARING IS CARING

Question 1

$$-m^3n^3p$$

$$-m^2n^2p$$

$$m^2n^2p$$

$$-m^3n^2p$$

Solution

Question 2

$$6abc$$

$$3ab$$

$$2abc$$

$$9ac$$

Solution

Question 3

$$13p^2$$

$$22p^2$$

$$28p$$

$$8p$$

Solution

Question 4

$$-28p^2$$

$$14p^2$$

$$-12p^2$$

$$16p^2$$

Solution

Question 5

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

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

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

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

Solution

Question 6

$$ a^3 -12a$$

$$ 4a^3 -22a$$

$$ a^3 -16$$

$$ 4a^3 -36a$$

Solution

Question 7

$$102a^7$$

$$105a^7$$

$$192a^7$$

$$606a^7$$

Question 8

$$ pq - 4pr$$

$$ 4pq + 4pr$$

$$ pq + 4pr$$

$$ 4q + 4pr$$

Question 9

$$100x^2y^2 ;12x^3 ; 12mn^2p$$

$$100x^2y^2 ;12x^2 ; 12mn^2p$$

$$100x^2y ;12x^3 ; 12mn^2p$$

$$100x^2y^2 ;12x^3 ; 12mnp$$

Solution

Question 10

$$(5-2x)(3+x) = (3+ x)-2x(3-x)$$

$$(5-2x)(3+x) = (3+ x)-2x(3+x)$$

$$(5-2x)(3-x) = 5(3+ x)-2x(3+x)$$

$$(5-2x)(3+x) = 5(3+ x)-2x(3+x)$$

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.