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Solving Equations

Solving Equations. 2(5x +3) = 4x - 6 X=?? Created by: Ms. Dufour. How do we solve equations? 2(5x +3) = 4x - 6. Distribute any terms that are outside of a set of parenthesis. 2(5x +3) = 4x – 6 10x + 6 = 4x - 6. How do we solve equations? 2(5x +3) = 4x - 6.

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Solving Equations

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

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

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

  4. 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!

  5. 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

  6. 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

  7. 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 6x = -12 6 6 X = -2 Multiplication Division undoes

  8. 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 It’s right!!

  9. Try some of your own… • We’re going to go to this website http://matti.usu.edu/nlvm/nav/frames_asid_324_g_3_t_2.html?open=instructions and balance equations. Complete 10 problems.

  10. 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=md • 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=md

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

  12. Now you’re an equation expert Congratulations!!!

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