Q1. - Algebra 2

Question

Question: 

 

1. In the square at the right, state the value of $\text{x}$.

 

A. 1                             B. 2

 

C. 3                            D. 4

Step-by-Step Solution

Answer

The value of $\text{x}$ is $\mathbf{2}$ and the correct option is B.

Step 1 - State the definition of a variable.

A variable is a term that is used to represent an unknown value.

Step 2 - Evaluate the value of x .

It is know that, in a square all the 4 sides are equal.

 

Consider the diagram,

As, the diagram is a square, then all sides are equal, then,

 

$5x=x+8$.

 

Simplify the equation using subtraction,

 

$\begin{array}{c}5x-x=x+8-x\\ 4x=8\\ x=2\end{array}$

 

Hence, the value of x is 2.

Step 3 - State the conclusion.

Therefore, the correct option is B that is 2.