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http://www.mathslideshows.com Is this a “positive 5” or “plus 5”? +5 – 2x = 14 positive 5 is the same as a plus 5 BOTH http://www.mathslideshows.com HINT: If you don’t see a negative or positive sign in front of a number it is always positive. +5 http://www.mathslideshows.com Is this a “negative 7x” or “minus 7x”? 2 – 7x = 10 negative 7x is the same as a minus 7x BOTH http://www.mathslideshows.com HINT: The sign in front of the number BELONGS TO THE NUMBER! –7 http://www.mathslideshows.com I will show you 2 ways to solve this equation! 3x 7 5x 13 3x 3x 7 2x 13 13 13 20 2x 2 2 10 x 3x 7 5x 13 5x 5x 2x 7 13 7 7 2x 20 2 2 Same answer! Which one do you think is easier? http://www.mathslideshows.com x 10 WHY? It is easier if you move the smaller number of x’s to one side. If you move the larger number of x’s you will end up with negative x’s http://www.mathslideshows.com Solve With x’s on Both Sides 7x 5 3x 23 3x 3x 4x 5 23 5 5 4x 28 4 4 x 7 http://www.mathslideshows.com Solve With x’s on Both Sides x 5 6x 20 x x 5 5x 20 20 20 25 5x 5 5 5 x http://www.mathslideshows.com Solve With The Distributive Property 13 = 4(3x – 7) + 5 13 = 12x - 28 + 5 13 = 12x - 23 +23 +23 36 = 12x __ ___ 12 12 3 = x 13 = 4(3 3 – 7) +5 13 = 4(9 - 7) + 5 13 = 4(2) + 5 13 = 8 + 5 13 = 13 http://www.mathslideshows.com Solve With The Distributive Property 3y 6(y 2) 24 3y 6y 12 24 9y 12 24 12 12 9y 36 9 9 y4 http://www.mathslideshows.com Solve With The Distributive Property 24 6(m 4) 2m 24 6m 24 2m 24 4m 24 24 24 48 4m 4 4 12 m http://www.mathslideshows.com Solve With The Distributive Property 8 4(x 3) 32 8 4x 12 32 4x 4 32 4 4 4x 36 4 4 x 9 http://www.mathslideshows.com Solve With The Distributive Property 4(x 2) 3(x 1) 4x 8 3x 3 3x -3x x 8 3 8 +8 x 11 http://www.mathslideshows.com Solve With The Distributive Property 5(8 x) 3(x 8) 40 5x 3x 24 5x 5x 40 8x 24 24 24 64 8x 8 8 8x http://www.mathslideshows.com Solve With The Distributive Property Challenging 3(4x 20) 4(5 2x) One! 12x 60 20 8x 8x 8x 20x 60 20 60 60 20x 80 20 20 x4 http://www.mathslideshows.com The End! Take out your study guide! http://www.mathslideshows.com #19 1) Get rid of the parenthesis by distributing 2) Combine like terms 3) Move the smaller number of x’s to one side 4) Move all numbers to the other side 5) Get x all by itself 6) Check your answer in the original equation Circle answer. Show work in the check! http://www.mathslideshows.com #20 5(m - 6) = 10 5m - 30 = 10 + 30 +30 5m = 40 Check in the original equation! Get rid of parenthesis first by distributing. 5 5 m=8 5(8 - 6) = 10 5(2) = 10 10 = 10 http://www.mathslideshows.com Do PEMDAS in the check! #21 8x - 4 = 3(2x + 8) Get rid of the parenthesis. 8x - 4 = 6x + 24 Get the variables on one side. -6x -6x Subtract 6x from both sides. 2x - 4 = 24 6x and –6x cancel out +4 +4 2x __ = __ 28 Add 4 to both sides. 2 2 Divide both sides by 2. x = 14 8(14) - 4 = 3(2 14+8) Show your check! 112 - 4 = 3(36) Finish your check! 108 = 108 http://www.mathslideshows.com EXTRAS: You can use them the next day when going over homework corrections. copyright©amberpasillas2010 Solve With The Distributive Property Challenging 2(3x 1) 4(10 2x) One! 6x 2 40 8x 8x 8x 14x 2 40 2 2 14x 42 14 14 x3 http://www.mathslideshows.com # Extra 13 = 4(3x – 5) + 9 13 = 12x - 20 + 9 13 = 12x - 11 +11 +11 24 = ___ 12x __ 12 12 Show work in the check! 13 = 4(3 • 2 – 5) +9 13 = 4(6 - 5) + 9 13 = 4(1) + 9 13 = 4 + 9 13 = 13 2 = x http://www.mathslideshows.com If you have trouble viewing you need MathType software: To see all math formulas correctly you need to install MathType software, similar to equation editor and is available for free at Design Science website . http://www.mathslideshows.com For more information on Math Slideshows visit: http://www.mathslideshows.com/ http://www.mathslideshows.com