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

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

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

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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!

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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

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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

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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

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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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Try some of your own… Were going to go to this website http://matti.usu.edu/nl vm/nav/frames_asid_ 324_g_3_t_2.html?op en=instructions and balance equations. Complete 10 problems. http://matti.usu.edu/nl vm/nav/frames_asid_ 324_g_3_t_2.html?op en=instructions

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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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Lets reveal the picture at this site… http://www.bbc.co.uk/education/mathsfile/ shockwave/games/equationmatch.html http://www.bbc.co.uk/education/mathsfile/ shockwave/games/equationmatch.html

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Now youre an equation expert Congratulations!!!

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Warm Up Solve the equation. 1. -2 = n + 3 2. -24 = 8x – 5 – 3 3. -3(3m + 3) = 27 4. -3(-3p + 5) –5(3p – 4) = -19 5. -5(12 + 3n) = -(-4 + 11n)

Warm Up Solve the equation. 1. -2 = n + 3 2. -24 = 8x – 5 – 3 3. -3(3m + 3) = 27 4. -3(-3p + 5) –5(3p – 4) = -19 5. -5(12 + 3n) = -(-4 + 11n)

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