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Solving Multi-Step Equations with Algebraic Operations

Learn how to solve multi-step algebraic equations involving multiplication, division, addition, and subtraction. This PowerPoint hosted on www.worldofteaching.com offers step-by-step examples and explanations to help you master the concept. Practice different scenarios and improve your skills in solving equations. Visit now for more free resources!

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Solving Multi-Step Equations with Algebraic Operations

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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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