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Solving Multi-Step Equations - Algebraic Equations PowerPoint

This PowerPoint presentation hosted on www.worldofteaching.com provides examples and step-by-step solutions for solving algebraic equations involving multiplication, addition, and subtraction. It covers topics such as multiplication with subtraction, multiplication with addition, division with addition, and the distributive property. Use the worksheets and notes to review and practice for the test tomorrow.

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Solving Multi-Step Equations - Algebraic Equations PowerPoint

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  1. March 1, 2006Mr. GalileiMonessen High School SOLVING MULTI-STEP EQUATIONS Algebraic Equations Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints

  2. Algebraic Equations Multiplication with Subtraction 2x – 4 = 8 +4 +4 2x = 12 2 2 x = 6

  3. Algebraic Equations Multiplication with Addition 5x + 10 = 80 -10 -10 5x = 70 5 5 x = 14

  4. Algebraic Equations Multiplication with Subtraction -3x – 4 = -82 +4 +4 -3x = -78 -3 -3 x = 26

  5. 3 2 2 3 3 2 Algebraic Equations Multiplication with Addition 2/3x + 2 = 8 -2 -2 x = 6 (HINT) Reciprocal x = 18/2 = 9

  6. x 5 (5) (5) Algebraic Equations Division with Addition x/5 + 2 = 8 -2 -2 = 6 x = 30

  7. ( ) Algebraic Equations C.L.T. 4x +6x + 20 = 80 10x + 20 = 80 -20 -20 = 10x 60 10 10 x = 6

  8. ( ( ) ) Algebraic Equations C.L.T. 3x + 2x + 20 - 8 = 92 5x + 12 = 92 -12 -12 = 5x 80 5 5 x = 16

  9. Algebraic Equations C.L.T. 6x + 15 = 125 + 4x ( ) ( ) 6x – 4x + 12 = 122 + 4x – 4x = 2x + 12 122 -12 -12 2x = 110 X = 55 2 2

  10. 7x - 12 -5x + 48 = = = 48 48 7x + 5x - 12 12x - 12 Algebraic Equations Distributive Property 2(5x – 6) – 3x = 4(x + 12) – 9x 10x– 12 - 3x = 4x + 48 – 9x ( ) ( ) 10x – 3x -12 = 4x – 9x + 48 ( )

  11. Algebraic Equations Distributive Property = = = 48 48 60 7x + 5x - 12 12x - 12 12x +12 +12 12 12 X = 5

  12. THE END • Homework: Study Review Sheet Test Tomorrow!! Use Worksheets & Notes to review and practice for the test.

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