### Home > AC > Chapter 10 > Lesson 10.4.1 > Problem10-125

10-125.

On your paper, draw the algebra tiles to represent the equation $x^2+2x=8$ on an equation mat.

1. How many tiles do you need to add or remove from each side of the equation to complete the square?

Draw the equation mat with the algebra tiles.
In order to complete the square you will need to make the equation $x^2+2x+1$ on one of the sides.
What did you do to make this equation?

2. Write the equation in perfect square form.

$\begin{array}{l} x^2 + 2x + 1 = 8 + 1 \\ (x + 1)(x + 1) = 9 \\ (x + 1)^2 = 9 \end{array}$