Fundamental Concepts Test

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Fundamental Concepts Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

Divide: $15 x^{3} y^{3} b y 3 x y^{2}$

A
$5 x^{2} y$

B
$5 x y$

C
$5 x y^{2}$

D
$5 x^{2} y^{2}$

Solution

$\frac{15 x^{3} y^{3}}{3 x y^{2}}$
$= 5 x^{2} y .$
Question 2
1 / -0

If pq = 3 and p + q = 6then find the value of $(p^{2} + q^{2})$ is

A
35

B
32

C
30

D
34

Solution

$(p + q)^{2} = p^{2} + q^{2} + 2 p q$
$(p^{2} + q^{2}) = (p + q)^{2} - 2 p q$
$(p^{2} + q^{2}) = (6)^{2} - 2 (3) = 36 - 6 = 30$
Question 3
1 / -0

Simplify $9 k - 5 (2 k - 3)$

A
15-k

B
15-k

C
14k

D
16-k

Solution

$9 k - 5 (2 k - 3)$
By solving equation we get,
$9 k - 10 k + 15$
Here $9 k + 10 k$ are like terms then byadding them we get,
$\Rightarrow - k + 15$
$\Rightarrow 15 - k$
Question 4
1 / -0

Add the following: (a-c)b, [b-a]c, [c-b]a

A
1

B
4

C
6

D
0

Solution

(a-c)b, [b-a]c, [c-b]a
ab-bc+bc-ca+ca-ab= 0
Question 5
1 / -0

$T h e f a c t o r s o f 7 a^{2} + 14 a i s$

A
$7 (a + 2)$

B
$21 a$

C
$7 (a + 1)$

D
$7 a (a + 2)$

Solution

$7 a^{2} + 14 a = 7 a (a + 2)$
Question 6
1 / -0

The expression for sum of numbers p and q substracted from their product is:

A
p+q-pq

B
pq-p+q

C
pq-(p+q)

D
pq+p-q

Solution

The product of numbers p and q = pq
The sum of numbers p and q = p+q
So the expression for sum of numbers p and q subtracted from their product is = pq-(p+q)
Question 7
1 / -0

What will be the simplified form of 21b−32+7b−20b?

A
21b−20b−32+7b

B
21b−20b+7b−32

C
8b−32

D
None of the above

Solution

Given: 21b−32+7b−20b
So,
21b+7b-20b-32
=28b-20b-32
=8b-32
Question 8
1 / -0

What is the statement forthe expression $2 y - 9$

A
2ysubstracted from 9

B
9substracted from y and multiplied by 2

C
9substracted from 9

D
Threeof y minus 9

Solution

9 substracted from y andmultiplied by 2
Question 9
1 / -0

The value of expression when $5 x^{2} - 2$ when x=3 is

A
-12

B
8

C
43

D
36

Solution

$5 x^{2} - 2 = 5 (3)^{2} - 2 = 45 - 2 = 43$
Question 10
1 / -0

The volume of a rectangularbox where length and height is 8x, 2y, 4z, respectively.

A
62xyz

B
64xyz

C
62xyz

D
69xyz

Solution

$V o l u m e o f R e c \tan g l e = l e n g t h \times b r e a d t h \times h e i g h t$
$= 8 x \times 2 y \times 4 z$
$= 64 x y z$
Question 11
1 / -0

Simplify $x (2 x - 1) + 5$ $a n d f i n d i t s v a l u e a t x = - 3$

A
26

B
24

C
22

D
20

Solution

Given expression $x (2 x - 1) + 5 x (2 x - 1) + 5 = 2 x^{2} - x + 5$
$A t x = - 3,$
$V a l u e o f e x p r e s s i o n i s = 2 (- 3)^{2} - (- 3) + 5$
$= (2 \times 9) + 3 + 5 = 26$
Question 12
1 / -0

Add: $9 a + 16 b + 13 a + 2 b$

A
4ab

B
22a+18b

C
18b+22a

D
Cannotbe determined

Solution

$(9 a + 16 b) + (13 a + 2 b)$
$= 9 a + 13 a + 16 b + 2 b$
$= 22 a + 18 b$
Question 13
1 / -0

Sum of ab ,a+b , and b+ab is

A
2ab+2a+b

B
2ab+2b

C
2ab+a+b

D
2ab+a+2b

Solution

ab+a+b+b+ab= 2ab+a+2b
Question 14
1 / -0

$S i m p l i f y : (a + b - 2) - (b - a + 2) + (a - b + 2)$

A
a-b+2

B
a-b-2

C
3a-b-2

D
3a+b+2

Solution

$a + b - 2 - b - a + 2 + a - b + 2 = 3 a - b - 2$
Question 15
1 / -0

Identify the coefficient of xin the expression -2x+3y-qpy

A
1

B
-1

C
-2

D
Noneof these

Solution

The coefficient is a numerical or constant quantity placed beforeand multiplying the variable in an algebraic expression. So. the coefficient of x in this expression is -2

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Re-Attempt Weekly Quiz Competition

Fundamental Concepts Test - 7

Result

Fundamental Concepts Test - 7

Score

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SHARING IS CARING

Question 1

5x2y

5xy

5xy2

5x2y2

Solution

Question 2

35

32

30

34

Solution

Question 3

15-k

15-k

14k

16-k

Solution

Question 4

1

4

6

0

Solution

Question 5

7(a+2)

21a

7(a+1)

7a(a+2)

Solution

Question 6

p+q-pq

pq-p+q

pq-(p+q)

pq+p-q

Solution

Question 7

21b−20b−32+7b

21b−20b+7b−32

8b−32

None of the above

Solution

Question 8

2ysubstracted from 9

9substracted from y and multiplied by 2

9substracted from 9

Threeof y minus 9

Solution

Question 9

-12

8

43

36

Solution

Question 10

62xyz

64xyz

62xyz

69xyz

Solution

Question 11

26

24

22

20

Solution

Question 12

4ab

22a+18b

18b+22a

Cannotbe determined

Solution

$5 x^{2} y$

$5 x y$

$5 x y^{2}$

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

$7 (a + 2)$

$21 a$

$7 (a + 1)$

$7 a (a + 2)$