Question

The model below represents 4 x + (negative 4) = negative 2 x + 8.

4 long green tiles and 4 square red tiles = 2 long red tiles and 8 square green tiles.

What is the value of x when solving the equation 4 x + (negative 4) = negative 2 x + 8 using the algebra tiles?
x = negative 4
x = negative 2
x = 2
x = 4

Answer 1

x = 2

Explanation: 4x + (−4) = −2x + 8. Add 2x to both sides: 6x − 4 = 8. Add 4 to both sides: 6x = 12. Divide by 6: x = 2.