Question 5 :
Solve for $x$: $\displaystyle \frac{1}{5}(3x\, -\,2)\, -\, \frac{1}{3}(x\, +\, 7)\, +\, 1\, =\, 0$.

Question 6 :
Sum of the ages of three friends is $x$, what is the sum of their ages after $3$ years?

Question 8 :
One third of a pole is painted yellow one-fifth is painted white and the remaining 7 meters is painted black The length of the pole is

Question 9 :
Find the value of $x$ in &#160;$\displaystyle \frac { -x }{ 3 } +8=\frac { 9 }{ 13 }&#160;$<br/>

Question 10 :
In the following equation, determine whether the given values are solutions of the given equation.<br/>$2x^2 \, - \, x \, + \, 9 \, = \, x^2 \, + \, 4x \, + \, 3, \, x \, = \, 2, \, x \, = \, 3.$

Question 11 :
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:<br/>

Question 12 :
Find the value of $p$ such that, $(13)^{2p+8} = \dfrac {1}{(13)^{-14}}$

Question 13 :
If one-fifth of three-fourth of a number is $\displaystyle 12\frac{3}{4}$, what is the number?

Question 14 :
In countries like USA and Canada temperature is measured in Fahrenheit where as in countries like India, it is measured in Celsius. Here is a liner equation that converts Fahrenheit to Celsius $F = \left( \dfrac{9}{5} \right ) C + 32$<br/>If the temperature is $0^0$C, what is the temperature in Fahrenheit and if the temperature is $0^0$F, what is the temperature in Celsius