Question

How do you evaluate the expression for x=10 given $ \dfrac{{2x + 5}}{x} $ .

Answer 1

Hint: They have clearly asked to find the value of the given algebraic expression when the value of x is 10. You just have to substitute the value of x and get the answer using bodmas rule. The final answer should be a fraction which is in its simplest form and which cannot be further calculated.

Complete step-by-step answer:
As given in the equation we have to find the value of the expression $ \dfrac{{2x + 5}}{x} $ when x=10.
All they are asking to do is substitute the value of x=10 in the expression given.
Hence by doing this we will get, $ \dfrac{{2x + 5}}{x} = \dfrac{{2\left( {10} \right) + 5}}{{\left( {10} \right)}} $
We will solve the above expression using Bodmas rule i.e. first multiply 2 by 10 and the add 5 we will get
 \[\dfrac{{2x + 5}}{x} = \dfrac{{20 + 5}}{{\left( {10} \right)}}\]
Further solving we get
 \[\dfrac{{2x + 5}}{x} = \dfrac{5}{2}\]
Since we have got a fraction. Our main aim will be to bring the fraction in it’s simplest form.
 \[ \Rightarrow \dfrac{5}{2}\]
Hence the value of the algebraic expression $ \dfrac{{2x + 5}}{x} $ when x=10 will be \[\dfrac{5}{2}\] respectively.
So, the correct answer is “ \[\dfrac{5}{2}\] ”.

Note: As given in the question, there can be many different kinds of algebraic expressions available which can be asked to solve using a particular value. The basic idea to solve this kind of question is the same as solved above i.e. to first substitute the given value in the expression and then simplify it in order wise.