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# 3.2 solve two step equations - day 1

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### 3.2 solve two step equations - day 1

1. 1. Solving Multi-Step Equations<br />Section 3.2<br />P. 141<br />
2. 2. Today we will learn to solve linear equations using two or more transformations.<br />Again – think about “undoing” what has been done to the variable – using inverse operations!<br />
3. 3. Learn to solve linear equations using two or more transformations<br />Do these look familiar to you?<br />
4. 4. Learn to solve linear equations using two or more transformations<br />Today our equations will look more like this:<br />Why do you think these are called two-step equations?<br />
5. 5. Learn to solve linear equations using two or more transformations<br />Let’s take a closer look at this equation.<br />Focus on the variable and how the numbers are attached to the variable.<br />Attached by “what operations?”<br />If I “UNDO” this equation using inverse operations, what should I undo first? Why?<br />
6. 6. “Undo” Steps<br />1) Simplify both sides( may include the distributive property, <br />combining like terms,<br /> change subtraction to “add the opposite)<br />2) Addition/Subtraction transformations<br />3) Simplify<br />4) Multiplication/Division transformations<br />5) Simplify<br />
7. 7. Learn to solve linear equations using two or more transformations<br /> -2x + 5 = - 9<br /> -2x + 5 + (-5) = -9 + (-5) Addition<br /> -2x + 0 = - 14 Simplify<br /> -2x = -14<br />-2 -2 Division<br /> x = 7<br /> go back and check mentally – does 7 work?<br />
8. 8. Learn to solve linear equations using two or more transformations<br />2x – 9x + 17 = -4 keep original equ. clean<br /> -7x + 17 = -4 (combine like terms)<br /> -7x + 17 + (-17) = -4 + (-17) addition<br /> -7x = -21 simplify<br /> -7x = -21 division<br />-7 -7<br /> x = 3 simplify<br /> check mentally!!!<br />
9. 9. Learn to solve linear equations using two or more transformations<br />
10. 10. Learn to solve linear equations using two or more transformations<br />
11. 11. Solve<br />
12. 12. Assignment: p. 144 (#6-14, 21)<br />You must show all your steps.<br />Just answers won’t get your problem correct. <br />Don’t forget to “CHECK” each problem!<br />