Question

What is the best way to classify each equation?

Answer 1

1. identity  → distributive property on the right gives you 8x + 24 same as right

2. contradiction → left side simplified 4x + 18; right side simplified 4x + 16

3. neither → left side simplified 21x - 14; right side 20x - 13

4. identity → left side simplified 5x - 20; right side simplified 5x - 20

Identity equations have infinitely many solutions (any real number will work)
Contradiction equations have no solution (variable will cancel out and remaining statement is false)
Neither will have one solution for the equation (x coefficients are different)