1. Math Essentials Ms. Palevsky April 21, 2010

2. 1-step equations with addition Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for x Does 6 + 3 = 9? YES 

3. 1-step equations with subtraction Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 5 - 8 = -3? YES 

4. 1-step equations – YOUR TURN Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2

5. 1-step equations Multiplication Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 4 × 7= 28? YES 

6. 1-step equations Division Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 54/6= 54? YES 

7. 1-step equations – YOUR TURN Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2

8. Discussion: What Patterns do you see? If we had to make a rule for solving equations what would the rule or rules be?

9. 2-step equations Example 1 Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 3 x 8 + 6= 30? YES  Second pair of operations; the operations that produce Equation 3 Equation 3

10. 2-step equations Example 2 Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 14 x 5 -4 = 66? YES  Second pair of operations; the operations that produce Equation 3 Equation 3

11. 2-step equations Example 3 YOUR TURN Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 14 x 5 -4 = 66? YES  Second pair of operations; the operations that produce Equation 3 Equation 3

12. Discussion What more do we know now about 2-step equations? How does this relate to what we already have learned?

13. Practice Try these on your own or with a partner: One-Step 1. x – 9 = 15 2. x + 14 = 8 3. 3z = 39 4. t/2 = 15

14. Practice Try these on your own or with a partner: Two-Step 1. 6x – 3 = 15 2. 4x + 7 = 27 3. m/9 - 2 = 10 4. 7k + 2 = -54