2. Solving Equations 2(5x +3) = 4x - 6 X=?? Created by: Ms. Dufour

3. How do we solve equations? 2(5x +3) = 4x - 6

4. Distribute any terms that are outside of a set of parenthesis. 2(5x +3) = 4x – 6 10x + 6 = 4x - 6

5. How do we solve equations? 2(5x +3) = 4x - 6 Combine any like terms that are on the same side of the equal sign. 10x + 6 = 4x – 6 No like terms!

6. How do we solve equations? 2(5x +3) = 4x - 6 Move all variables to one side of the equal sign. 10x + 6 = 4x – 6 -4x -4x 6x + 6 = -6

7. How do we solve equations? 2(5x +3) = 4x - 6 Move all terms that are hanging out to the other side of the equal sign. 6x + 6 = -6 -6 -6 6x = -12

8. How do we solve equations? 2(5x +3) = 4x - 6 Isolate the variable by undoing the operation that is associated with the variable. 6x = -12 6 6 X = -2 Multiplication Division undoes

9. How do we solve equations? 2(5x +3) = 4x - 6 Check your solution by replacing your answer! 2(5x +3) = 4x – 6 2(5·-2 + 3) = 4·-2 – 6 2(-10 + 3) = -8 – 6 2(-7) = -14 -14 = -14 Its right!!

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11. Quiz Yourself Solving multi-step equations http://www.glencoe.com/sec/math/studytools/cgi- bin/msgQuiz.php4?isbn=0-07-860390- 0&chapter=3&lesson=4&headerFile=6&state=m d http://www.glencoe.com/sec/math/studytools/cgi- bin/msgQuiz.php4?isbn=0-07-860390- 0&chapter=3&lesson=4&headerFile=6&state=m d Solving multi-step inequalities http://www.glencoe.com/sec/math/studytools/cgi- bin/msgQuiz.php4?isbn=0-07-860390- 0&chapter=6&lesson=3&headerFile=6&state=m d http://www.glencoe.com/sec/math/studytools/cgi- bin/msgQuiz.php4?isbn=0-07-860390- 0&chapter=6&lesson=3&headerFile=6&state=m d

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13. Now youre an equation expert Congratulations!!!