1. Multi Step Equations

2. Algebra Examples 3/8 – 1/4x = 1/2x – 3/4 3/8 – 1/4x = 1/2x – 3/4 8(3/8 – 1/4x) = 8(1/2x – 3/4) (Multiply both sides by 8) 8(3/8 – 1/4x) = 8(1/2x – 3/4) (Multiply both sides by 8) 8(3/8) – 8(1/4x) = 8(1/2x) – 8(3/4) 8(3/8) – 8(1/4x) = 8(1/2x) – 8(3/4) 3 – 2x = 4x – 6 3 – 2x = 4x – 6 3 -2x + 2x = 4x + 2x – 6 ( add 2x to both sides) 3 -2x + 2x = 4x + 2x – 6 ( add 2x to both sides) 3 = 6x – 6 3 = 6x – 6 3 + 6 = 6x - 6 + 6 ( add 6 to both sides) 3 + 6 = 6x - 6 + 6 ( add 6 to both sides) 9 = 6x ( divide both sides by 6) 9 = 6x ( divide both sides by 6) 3/2 = x 3/2 = x `

3. Examples Solve: Solve: 5n + 4 = 7(n + 1) – 2n (Distribute) 5n + 4 = 7(n + 1) – 2n (Distribute) 5n + 4 = 7n + 7 – 2 ( add like terms on same side) 5n + 4 = 5n + 7 ( get like terms on the same side) 5n + 4 = 7n + 7 – 2 ( add like terms on same side) 5n + 4 = 5n + 7 ( get like terms on the same side) 5n – 5n + 4 = 5n – 5n + 7 4 = 7 4 = 7 No solution! No solution!

4. Examples Solve: Solve: 7 + 2(x + 1) = 2x + 9 (distribute) 7 + 2(x + 1) = 2x + 9 (distribute) 7 + 2x + 2 = 2x + 9 (add like terms on the same side) 7 + 2x + 2 = 2x + 9 (add like terms on the same side) 2x + 9 = 2x + 9 ( reflexive property) 2x + 9 = 2x + 9 ( reflexive property) Infinitely many solutions! Infinitely many solutions!