1 Mark Question

Question 11 Mark

Write 'T' for true and 'F' for false for the statement given below:
$\text{x}=\frac{2}{3}$ is solution of 2x + 5 = 8.

Answer

False.Solution:
2x + 5 = 8 ⇒ 2x + 5 - 5 = 8 - 5 [Subtracting 5 from both the sides] ⇒ 2x = 3 $\Rightarrow\text{x}=\frac{3}{2}$ and not $\text{x}=\frac{2}{3}$

View full question & answer→

Question 21 Mark

Write the following statement as an equation:
A number exceeds 5 by 3.

Answer

Let x be the given number, then
x - 5 = 3

View full question & answer→

Question 31 Mark

Write a statement for the equation, given below:
2x - 3 = 13

Answer

3 less than twice the number x is 13.

View full question & answer→

Question 41 Mark

Write the following statement as an equation:
25 exceeds a number by 7.

Answer

Let x be the given number, then
25 - x = 7

View full question & answer→

Question 51 Mark

Write 'T' for true and 'F' for false for the statement given below:
2x + 3 = 5 is a linear equation.

Answer

True.
Solution:
This is because the maximum power of the variable x is 1.

View full question & answer→

Question 61 Mark

Write 'T' for true and 'F' for false for the statement given below:
$-3xy^2z$ is a monomial.

Answer

True.
Solution:
Since it has one term, it is a monomial.

View full question & answer→

Question 71 Mark

Fill in the blank.
An expression having three terms is called a _____.

Answer

An expression having three terms is called a trinomial.

View full question & answer→

Question 81 Mark

Fill in the blank.$(b^2 - a^2) - (a^2 - b^2)$ = _____.

Answer

$(b^2 - a^2) - (a^2 - b^2) = 2b^2 - 2a^2$.
$(b^2 - a^2) - (a^2 - b^2)$
$\Rightarrow b^2 - a^2 - a^2 + b^2$
$\Rightarrow 2b^2 - 2a^2$

View full question & answer→

Question 91 Mark

Write 'T' for true and 'F' for false for the statement given below:
The coefficient of x in 5xy is 5.

Answer

False.
Solution:
The coefficient of x in 5xy would be 5y.

View full question & answer→

Question 101 Mark

Write the following statement as an equation:
A number divided by 8 gives 7.

Answer

Let x be the given number, then
$\frac{\text{x}}{8}=7$

View full question & answer→

Question 111 Mark

Write a statement for the equation, given below:
12y - 30 = 6

Answer

30 less than 12 times the number is 6.

View full question & answer→

Question 121 Mark

Write the following statement as an equation:
Twice a number subtracted from 19 is 11.

Answer

Let x be the given number, then
19 - 2x = 11

View full question & answer→

Question 131 Mark

Write a statement for the equation, given below:
2y = 18

Answer

Twice the number y is 18.

View full question & answer→

Question 141 Mark

Write the following statement as an equation:
5 subtracted from thrice a number is 16.

Answer

Let x be the given number, then
3x - 5 = 16

View full question & answer→

Question 151 Mark

Write the following statement as an equation:
5 times a number equals 40.

Answer

Let x be the given number, then
5x = 40

View full question & answer→

Question 161 Mark

Write a statement for the equation, given below:
11 + 3x = 17

Answer

11 increased by thrice the number x is 17.

View full question & answer→

Question 171 Mark

Write a statement for the equation, given below:
$\frac{\text{2z}}{3}=8$

Answer

Quotient of twice the number z and 3 is 8.

View full question & answer→

Question 181 Mark

Write 'T' for true and 'F' for false for the statement given below:
8 - x = 5 ⇒ x = 38 - x = 5 ⇒ x = 3.

Answer

True. Solution:8 - x = 5
⇒ 8 - 5 = x ⇒ 3 = x

View full question & answer→

Question 191 Mark

Fill in the blank.3x - 5 = 7 - x ⇒ x = _____.

Answer

3x - 5 = 7 - x ⇒ x = 3.Solution:
3x - 5 = 7 - x
⇒ 3x + x = 7 + 5 [Transposing x to the L.H.S. and 5 to the R.H.S]
⇒ 4x = 12
$\Rightarrow\frac{\text{4x}}{4}=\frac{12}{4}$
x = 3

View full question & answer→

Question 201 Mark

Write the following statement as an equation:
3 less than 4 times a number is 17.

Answer

Let x be the given number, then
4x - 3 = 17

View full question & answer→

Question 211 Mark

Fill in the blank.
An expression having two terms is called a _____.

Answer

An expression having two terms is called a binomial.

View full question & answer→

Question 221 Mark