The document discusses solving linear equations using two or more steps. It explains that to solve multi-step equations, you should undo the operations in reverse order, such as first combining like terms or distributing, then using addition or subtraction, and finally multiplication or division. An example problem is shown step-by-step to solve the equation -2x + 5 = -9. Students are assigned practice problems from the textbook to solve multi-step equations, showing all their work and checking their answers.

1. Lesson 3.3 , For use with pages 127-133 Solve the equation. 1. x – 7 = 15 2. = 12 z 6

2. Lesson 3.3 , For use with pages 127-133 Solve the equation. 1. x – 7 = 15 2. = 12 z 6 ANSWER 22 ANSWER 72

3. Solving Multi-Step Equations Section 3.3 P. 129

4. 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!

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

6. 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?

7. 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?

8. “ 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

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

10. 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!!!

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

12. Assignment: p. 131 #3-6 You must show all your steps. Just answers won’t get your problem correct. Don’t forget to “CHECK” each problem!