Question

How do you evaluate \[13 - 0.75w + 8x\] when \[w = 12\] and \[x = 1/2\] ?

Answer 1

Hint: While solving this particular question we need not to apply any mathematical formula , any identity. We just have to substitute the given values of w and x in the given equation \[13 - 0.75w + 8x\] . Questions similar in nature as that of above can be approached in a similar manner and we can solve it easily. It is the type of question where only mathematical operations such as addition, subtraction, multiplication and division is used.

Complete step-by-step answer:
We have \[13 - 0.75w + 8x\] where \[w = 12\] and \[x = 1/2\]
We just have to substitute the given values of w and x in the given equation ,
We will get the following result,
 \[13 - 0.75w + 8x\]
 \[ = 13 - 0.75(12) + 8\left( {\dfrac{1}{2}} \right)\]
 \[
   = 13 - 9 + 4 \\
   = 4 + 4 \\
   = 8 \;
 \]
Hence we get the result.
So, the correct answer is “8”.

Note: In the given question, no mathematical formula is being used; only the mathematical operations such as addition, subtraction, multiplication and division is used. Use addition or subtraction properties of equality to gather variable terms on one side of the equation and constant on the other side of the equation. Use the multiplication or division properties of equality to form the coefficient of the variable term equivalent to one.