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

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Question 21 Mark

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

Answer

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

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Question 31 Mark

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

Answer

$3$ less than twice the number $x$ is $13.$

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Question 41 Mark

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

Answer

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

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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.
This is because the maximum power of the variable $x$ is $1$.

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Question 61 Mark

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

Answer

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

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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.

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Question 81 Mark

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

Answer

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

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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.
The coefficient of $x$ in $5xy$ would be $5y.$

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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 $\frac{\text{x}}{8}=7$

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Question 111 Mark

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

Answer

$30$ less than $12$ times the number is $6.$

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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 $19 - 2x = 11$

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Question 131 Mark

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

Answer

Twice the number $y$ is $18.$

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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 $3x - 5 = 16$

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Question 151 Mark

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

Answer

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

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Question 161 Mark

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

Answer

$11$ increased by thrice the number $x$ is $17.$

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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 $8$.

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Question 181 Mark

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

Answer

True.
$8 - x = 5$
$\Rightarrow 8 - 5 = x $
$\Rightarrow 3 = x$

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Question 191 Mark

Fill in the blank.$3x - 5 = 7 - x \Rightarrow x =$ _____.

Answer

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

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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
$4x - 3 = 17$

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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.

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Question 221 Mark