Q2. - Algebra 1

Question

Evaluate the expression $16-\left|g+9\right|$ for $g=-4$

Step-by-Step Solution

Answer

On solving $16-\left|g+9\right|$ for $g=-4$ the obtained value is $11$.

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

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

In $16-\left|g+9\right|$, g is the variable.

Constants: - In any expression or equation, the constants are the values that 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 $16-\left|g+9\right|$ and $g=-4$.

Put $g=-4$ in $16-\left|g+9\right|$.

$16-\left|-4+9\right|=16-\left|5\right|$

Since $\left|5\right|$ will always give a positive value. So,

$\begin{array}{c}16-\left|5\right|=16-5\\ =11\end{array}$

Hence, the value of $16-\left|g+9\right|$ for $g=-4$ is $11$.