Question

The model below represents 2 x + 1 = negative x + 4.

2 green long tiles and 1 green square tile = 1 long red tile and 4 square green tiles

What is the value of x when solving the equation 2 x + 1 = negative x + 4 using the algebra tiles?
x = negative 3
x = negative 1
x = 1
x = 3

Answer 1

x = 1

Work: 2x + 1 = −x + 4 → add x to both sides: 3x + 1 = 4 → subtract 1: 3x = 3 → divide by 3: x = 1.