Fundamental Concepts Test

Result

Fundamental Concepts Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

Find and correct errors of the followingmathematical expressions:
7y+5y+y−12y=0

A
5y

B
2y

C
7 y

D
0

Solution

Thegiven statement is incorrect.
As all the terms have same variables, we canperform operations of addition and substraction. Therefore the correctstatement is 7y+5y+y-12y=y.
Question 2
1 / -0

Identify the terms, theircoefficients for each of the following expressions. $2 l m n^{2} - 3 m n$

A
2,3

B
l,m

C
m,n

D
3, Imn

Solution

Coefficient means a numerical or constant quantity placed beforeand multiplying the variable in an algebraic expression, so here the constantare 2,3.
Question 3
1 / -0

Find and correct errors ofthe following mathematical expressions:
$(5 x)^{2} + 8 (2 x) + 9 = 25 x^{2} + 8 x + 9$

A
9

B
8x

C
25x²

D
(5x)²

Solution

The given statement isincorrect. Only the first term is written incorrect. Correct statement is
$(5 x)^{2} + 8 (2 x) + 9 = 25 x^{2} + 16 x + 9$
Question 4
1 / -0

Find and correct errors of the followingmathematical expressions:
x+3x+14x=17x

A
X

B
14x

C
3x

D
17x

Solution

Thegiven statement is incorrect.
Asall the terms have same variable x, we can add them,
Therefore,correct statement is x+3x+14x=18x
Question 5
1 / -0

Find and correct errors of the followingmathematical expressions: $\frac{3}{4 z + 3} = \frac{1}{4 z}$

A
$\frac{1}{4 z}$

B
3

C
1

D
4z+3

Solution

As we cannot separate thedenominators the statement will remain as it is $\frac{3}{4 z + 3} = \frac{3}{4 z + 3}$
Question 6
1 / -0

Find and correct errors of the followingmathematical expressions:
$(2 z)^{2} + 5 z = 4 z + 5 z = 9 z$

A
4z and 9z

B
5z and 2z²

C
(2z)² and 4z²

D
4z² and 5z

Solution

The given statement isincorrect. The correct statement is $(2 z)^{2} + 5 z = 4 z^{2} + 5 z$
Question 7
1 / -0

Find and correct errors of the followingmathematical expressions: $\frac{3 x^{2}}{3 x^{2}} = 0$

A
0

B
3x²

C
$\frac{3 x^{2}}{3 x^{2}}$

D
None ofthe above

Solution

$\frac{3 x^{2}}{3 x^{2}} = 1$ The statement is incorrect.Like terms after cancellations leave remainder as 1.
Question 8
1 / -0

Find and correct errors of the followingmathematical expressions: $\frac{(4 z + 5)}{4 z} = 5$

A
4z

B
5

C
4z+5

D
$\frac{4 z + 5}{4 z}$

Solution

After separating thedenominators, we get $\frac{4 z + 5}{4 z} = 1 + \frac{5}{4 z}$ the correct answer.
Question 9
1 / -0

Find and correct errors of the followingmathematical expressions: 2m+3n=5mn

A
2m

B
3n

C
5mn

D
2m+3n

Solution

As we cannot apply one ruleover here, the correct statement is
$2 m + 3 n = 2 m + 3 n$
Question 10
1 / -0

Find and correcterrors of the following mathematical expressions:
$(m + 4) (m + 2) = m^{2} + 8$

A
(m+4)

B
(m+2)

C
m²+8

D
8

Solution

correct statement is $(m + 4) (m + 2) = m^{2} + 6 m + 8$
Question 11
1 / -0

Find and correct errors of the followingmathematical expressions: $(z - 4) (z - 2) = z^{2} - 8$

A
(z-4)

B
(z-2)

C
z²- 8

D
No error

Solution

Middle term is missing inthis expression the correct statement is $(z - 4) (z - 2) = z^{2} - z a + 8$
Question 12
1 / -0

Find and correct errors of the followingmathematical expressions:
$m (3 m + 2) = 3 m^{2} + 2$

A
m

B
(3m+2)

C
2

D
3m²

Solution

The given statement isincorrect. The correct statement is
$m (3 m + 2) = 3 m^{2} + 2 m$
Question 13
1 / -0

Find and correct errors of the followingmathematical expressions $\frac{3 x^{2} + 1}{3 x^{2}} = 1 + 1 = 2$

A
$3 x^{2}$

B
1 + 1 = 2

C
2

D
1

Solution

The given statement isincorrect. After separating the denominators, we get
$\frac{3 x^{2} + 1}{3 x^{2}} = 1 + \frac{1}{3 x^{2}}$
Question 14
1 / -0

Find and correct errors of the followingmathematical expressions: 4(z-5) = 4z-5

A
4

B
(z-5)

C
4z-5

D
5

Solution

The statement is incorrectas it says 4 multiplied by (z-5), so the correct statement is 4(z-5)=4z-20
Question 15
1 / -0

Find and correct errors of the followingmathematical expressions:
$3 z + 2 z = 5 z^{2}$

A
3z

B
5z²

C
2z

D
None of theabove

Solution

The statement is incorrect. As all the terms have same variable z, wecan perform the operation, therefore the correct statement is 3z+2z=5z

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Re-Attempt Weekly Quiz Competition

Fundamental Concepts Test - 4

Result

Fundamental Concepts Test - 4

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SHARING IS CARING

Question 1

5y

2y

7 y

0

Solution

Question 2

2,3

l,m

m,n

3, Imn

Solution

Question 3

9

8x

25x2

(5x)2

Solution

Question 4

X

14x

3x

17x

Solution

Question 5

14z

3

1

4z+3

Solution

Question 6

4z and 9z

5z and 2z2

(2z)2 and 4z2

4z2 and 5z

Solution

Question 7

0

3x2

3x23x2

None ofthe above

Solution

Question 8

4z

5

4z+5

4z+54z

Solution

Question 9

2m

3n

5mn

2m+3n

Solution

Question 10

(m+4)

(m+2)

m2+8

8

Solution

Question 11

(z-4)

(z-2)

z2 - 8

No error

Solution

Question 12

m

(3m+2)

2

3m2

Solution

25x²

(5x)²

$\frac{1}{4 z}$

5z and 2z²

(2z)² and 4z²

4z² and 5z

3x²

$\frac{3 x^{2}}{3 x^{2}}$

$\frac{4 z + 5}{4 z}$

m²+8

z²- 8

3m²

$3 x^{2}$

5z²