1. solve two-step equations. 3.4 Objective The student will be able to:

2. To solve two-step equations, undo the operations by working backwards. Ask yourself: 1.What is the first thing we are doing to x? 2.What is the second thing? To undo these steps, do the opposite operations in opposite order.

3. 1.Draw “the river” 2.Add 3 to both sides 3.Simplify 4.Clear the fraction - Multiply both sides by 2 5.Simplify 6.Check your answer Example 1: Solve this two step equation + 3 + 3 = - 4 x = -8 -4 – 3 = -7 2 · · 2

4. 2) Solve 2x - 1 = -3 + 1 + 1 2x = -2 2 2 x = -1 2(-1) - 1 = -3 -2 – 1 = -3 1.Draw “the river” 2.Add 1 to both sides 3.Simplify 4.Divide both sides by 2 5.Simplify 6.Check your answer

5. + 4 + 4 3 · · 3 x = 36 12 – 4 = 8 3) Solve 1.Draw “the river” 2.Add 4 to both sides 3.Simplify 4.Clear the fraction - Multiply both sides by 3 5.Simplify 6.Check your answer

6. 4) Solve 3y – 1 = 8 1.y = 3 2.y = -3 3.y = 4.y = Answer Now

7. 5) Solve d – 4 = 6 + 4 + 4 d = 10 1.Draw “the river” 2.Clear the fraction - Multiply both sides by 2 3.Simplify 4.Add 4 to both sides 5.Simplify 6.Check your answer

8. 6) Solve 1.d = -7 2.d = -19 3.d = -17 4.d = 17 Answer Now

9. 7) Solve -3 -3 a = 35 1.Draw “the river” 2.Subtract 3 from both sides 3.Simplify 4.Clear the fraction – Multiply both sides by -7 5.Simplify 6.Check your answer

10. 8) Solve 5z + 16 = 51 1.z = -35 2.z = -7 3.z = 35 4.z = 7 Answer Now

11. - 1 - 1 5 · · 5 3x = 15 3 3 x = 5 9) Solve 1.Draw “the river” 2.Subtract 1 from both sides 3.Simplify 4.Clear the fraction - Multiply both sides by 5 5.Simplify 6.Divide both sides by 3 7.Simplify 8.Check your answer