1. Solving Multi-Step Equations Section 3.2 P. 141

2. Today we will learn to solve linear equations using two or more transformations. Again – think about “undoing” what has been done to the variable – using inverse operations!

3. Learn to solve linear equations using two or more transformations Do these look familiar to you?

4. Learn to solve linear equations using two or more transformations Today our equations will look more like this: Why do you think these are called two-step equations?

5. Learn to solve linear equations using two or more transformations Let’s take a closer look at this equation. Focus on the variable and how the numbers are attached to the variable. Attached by “what operations?” If I “UNDO” this equation using inverse operations, what should I undo first? Why?

6. “Undo” Steps 1) Simplify both sides( may include the distributive property, combining like terms, change subtraction to “add the opposite) 2) Addition/Subtraction transformations 3) Simplify 4) Multiplication/Division transformations 5) Simplify

7. Learn to solve linear equations using two or more transformations -2x + 5 = - 9 -2x + 5 + (-5) = -9 + (-5) Addition -2x + 0 = - 14 Simplify -2x = -14 -2 -2 Division x = 7 go back and check mentally – does 7 work?

8. Learn to solve linear equations using two or more transformations 2x – 9x + 17 = -4 keep original equ. clean -7x + 17 = -4 (combine like terms) -7x + 17 + (-17) = -4 + (-17) addition -7x = -21 simplify -7x = -21 division -7 -7 x = 3 simplify check mentally!!!

9. Learn to solve linear equations using two or more transformations

10. Learn to solve linear equations using two or more transformations

11. Solve

12. Assignment: p. 144 (#6-14, 21) You must show all your steps. Just answers won’t get your problem correct. Don’t forget to “CHECK” each problem!