TRUE / FALSE

Question 11 Mark

One$-$fourth of a number added to itself given $10,$ can be represented as $\frac{x}{4}+10=x$

Answer

One$-$fourth of a number added to itself given $10$, can be represented as $\frac{x}{4}+10=x. ($ False $)$
Correct :
Let number $=x$
$x+\frac{1}{4} x=10$
$\frac{5}{4} x=10$
$\Rightarrow x=\frac{10 \times 4}{5}=8$

View full question & answer→

Question 21 Mark

If $5$ is a solution of variable $x$ in the equation $\frac{5 x-7}{2}=y$, then the value of $y$ is $18.$

Answer

If $5$ is a solution of variable $x$ in the equation $\frac{5 x-7}{2}=y$,
then the value of $y$ is $18. ($False$)$
If $x=5$, then
$\frac{5 x-7}{2}=y$
$\Rightarrow \frac{x \times 5-7}{2}=y$
$\Rightarrow \frac{13}{2}=y$
$\therefore y \neq 18$

View full question & answer→

Question 31 Mark

$\frac{9}{4}$ is a solution of the equation $5 x-1=8$.

Answer

$\frac{9}{4}$ is a solution of the equation $5 x-1=8. ($False$)$
Correct :
$5 x-1=8$
$\Rightarrow 5 x=8+1=9$
$\Rightarrow x=\frac{9}{5}$

View full question & answer→

Question 41 Mark

2x + 1 = 7 and 3x – 5 = 4 have the same solution.

Answer

2x + 1 = 7 and 3x – 5 = 4
have the same solution. (True)
2x + 1 = 7
⇒ 2x = 6
⇒ x = 3
and 3x – 5 = 4
⇒ 3x = 4 + 5 = 9
⇒ x = 3

View full question & answer→

Question 51 Mark

4x + 5 < 65 is not an equation.

Answer

4x + 5 < 65 is not an equation. (True)
It is an in eqaution.

View full question & answer→

Question 61 Mark

The solution of a linear equation in one variable is always an integer.

Answer

The solution of a linear equation in one variable is always an integer. (False)
Correct : It can be a rational number also.

View full question & answer→

Question 71 Mark

The solution of the equation $3 x-5=2$ is $x=\frac{7}{3}$

Answer

The solution of the equation
$3 x-5=2 \text { is } \frac{7}{3}($ True $)$
$3 x-5=2$
$\Rightarrow 3 x=2+5=7$
$\Rightarrow x=\frac{7}{3}$

View full question & answer→

Question 81 Mark

The solution of the equation 3(x – 4) = 30 is x = 6.

Answer

The solution of the equation
3(x – 4) = 30 is x = 6. (False)
Correct :
3(x – 4) = 30
⇒ x – 4 = 10
⇒ x = 10 + 4 = 14
x ≠ 6

View full question & answer→

Question 91 Mark

3x – 5 = 2(x + 3) + 7 is a linear equation in one variable.

Answer

3x – 5 = 2(x + 3) + 7
is a linear equation in one variable. (True)
3x – 5 = 2x + 6 + 7
⇒ 3x – 2x = 6 + 7 + 5
⇒ x = 18

View full question & answer→

Question 101 Mark

We can divide both sides of an equation by the same non-zero number.

Answer

We can divide both sides of an equation by the same non-zero number. (True)

View full question & answer→

Question 111 Mark

We can add (or subtract) the same number of expression to both sides of an equation.

Answer

We can add (or subtract) the same number of expression to both sides of an equation. (True)

View full question & answer→

MATHS TRUE / FALSE

Test yourself on this topic