Solve two-step equations.

1) Solve 2x - 1 = -3 + 1 + 1 2x = -2 2 2 x = -1 2(-1) - 1 = -3 D U 1) Solve 2x - 1 = -3 · 2 - 1 + 1 ÷ 2 + 1 + 1 2x = -2 2 2 x = -1 2(-1) - 1 = -3 -2 – 1 = -3 Draw “the river” Add 1 to both sides Simplify Divide both sides by 2 Check your answer

2) Solve + 4 + 4 3 · · 3 x = 36 12 – 4 = 8 D U Draw “the river” ÷ 3 - 4 + 4 · 3 + 4 + 4 3 · · 3 x = 36 12 – 4 = 8 Draw “the river” Add 4 to both sides Simplify Clear the fraction -Multiply both sides by 3 Check your answer

3) Solve 3y – 1 = 8 y = 3 y = -3 y = Answer Now

3) Solve d = 10 d – 4 = 6 + 4 + 4 D U Draw “the river” - 4 ÷ 2 · 2 + 4 Draw “the river” Clear the fraction - Multiply both sides by 2 Simplify Add 4 to both sides Check your answer d – 4 = 6 + 4 + 4 d = 10

4) Solve d = -7 d = -19 d = -17 d = 17 Answer Now

5) Solve -3 -3 a = 35 D U Draw “the river” Subtract 3 from both sides ÷ -7 + 3 - 3 · -7 Do/Undo Chart – This one is tricky! Remember to always use the sign in front of the number. -3 -3 a = 35 Draw “the river” Subtract 3 from both sides Simplify Clear the fraction – Multiply both sides by -7 Check your answer

6) Solve -16 + 5z = 54 z = -35 z = -16 z = 35 z = 16 Answer Now

7) Solve - 1 - 1 5 · · 5 3x = 15 3 3 x = 5 D U Draw “the river” · 3 ÷ 5 + 1 - 1 · 5 ÷ 3 - 1 - 1 5 · · 5 3x = 15 3 3 x = 5 Draw “the river” Subtract 1 from both sides Simplify Clear the fraction -Multiply both sides by 5 Divide both sides by 3 Check your answer