Q1. - Algebra 1

Question

Evaluate the expression $\left|3-h\right|+13$ for $h=5$

Step-by-Step Solution

Answer

On solving $\left|3-h\right|+13$ for $h=5$ the obtained value is $15$ .

Step-1. Apply the concept of Variables and constant.

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol. 

In $\left|3-h\right|+13$, h is the variable which is the unknown quantity.

Constants: - In any expression or equation constant are the values which are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

Step-2. Concept of absolute value.

Absolute value: - Absolute value of any quantity simply means the positive value of that quantity.

Example: -

Consider a variable x. Here, x can be both positive or negative but $\left|x\right|$ will always be positive and hence the absolute value.

Step-3. Solution of the given equation.

Given $\left|3-h\right|+13$ and $h=5$.

Put $h=5$ in $\left|3-h\right|+13$.

$\left|3-5\right|+13=\left|-2\right|+13$

Since $\left|-2\right|$ will always give a positive value. So,

$\begin{array}{c}\left|-2\right|+13=2+13\\ =15\end{array}$

Hence, the value of $\left|3-h\right|+13$ for $h=5$ is $15$.