Distributive Properties and CLT[1]

• You are about to see a pair of numbers that may or may not be like terms. • Based on the results, determine the rules for like terms. Like Terms •Yes = • No = Like Terms Like Terms Like Terms Like Terms Like Terms Now you determine What are the Rules for Like Terms •1.) They must have the same Variable. •2.) They must have the same Exponent. Combine Like Terms The Rules for algebra apply to all LikeTerms •Ex.. 3x + 4x • 7x •Example 1 •3x + 6 + 5x •3x + 5x + 6 •8x + 6 Combine Like Terms •3x + 2y + 2x + 2 •3x + 2x + 2y + 2 •5x + 2y + 2 •Example 2 Combine Like Terms •Example 3 2 •3x 2 •5x Combine Like Terms 2 2x + 2x + +2 2 + 2x2 + 2x + 2 •3x + 2x + 2 • Find the Area of the Rectangle Distributive Property •2 • 3 + 2 • x = 6 + 2x • Find the Area of the Rectangle Distributive Property •2 (3 + x) =(3+x)+(3+x) •6 + 2x So……. •2 • 3 + 2 • x = 6 + 2x •2 (3 + x) = 6 + 2x Therefore …. •2 (3 + x) =2 • 3 + 2 • x Use the distributive Property to simplify the following • 1.) 3(4 + x) • 1.) 12 + 3x • 2.) -2(3 + x) • 2.) -6 -2x • 3.) 5(x - 7) • 3.) 5x - 35 • 4.) 2(x - 3) + 4 • 4.) 2x -2 2- 3 • 5.) x(2 + 6x) - 3• 5.) 2x +6x Find the Mistake •1.) 3(x + 2) = 3x + 2 • 3(x + 2) = 3x + 6 •2.) (x + 4)5 = x + 20 • (x + 4)5 = 5x + 20 Find the Mistake •3.) 4(x - 6) = 4x + 24 • 4(x - 6) = 4x - 24 •4.) 2(6 - x) = 12 - x • 2(6 - x) = 12 - 2x Find the Mistake •5.) 3(x + 5) = 3x + 8 • 3(x + 5) = 3x + 15 •6.) -2 + x + 6 = 4x • -2 + x + 6 = x + 4