Kara was using algebra tiles to represent the question her teacher had on the board. Look at her representation to create and solve the equation.
(4 rectangles, 5 squares) = (2 rectangles, 1 square)
Use the key to help you determine what each tile represents.
rectangle = x
square = 1
The given representation can be written as:
4x + 5 = 2x + 1
To solve the equation, we need to isolate the variable x. We can do this by moving all the terms with x to one side of the equation and all the constant terms to the other side.
4x - 2x = 1 - 5
2x = -4
Next, we divide both sides of the equation by 2 to solve for x:
2x/2 = -4/2
x = -2
Therefore, the solution to the equation is x = -2.