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Published byJefferson Bufford Modified over 2 years ago

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Is this a “ positive 5 ” or “ plus 5 ”? +5 BOTH

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HINT: If you don’t see a negative or positive sign in front of a number it is always positive. 5 +

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Is this a “ negative 7 ” or “ minus 7 ”? -7 BOTH

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HINT: The sign in front of the number BELONGS TO THE NUMBER ! –7

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“ Simplify ” means to combine like terms and complete all operations 2x + + 3x = 7x

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Terms in an expression are like terms if they have identical variable parts. You can combine terms that are alike.

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To look at combining like terms we are going to use ALGEBRA TILES! Algebra Tiles help us to visualize what each term represents.

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Small Square Area = 1 Rectangle x Area = x Large Square x x Area = x 2 Algebra Tiles

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How much do I have here? I have 5x + 4 Algebra Tiles

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How much do I have here? I have x 2 + 2x + 6 Notice that we write the largest shape first, then the medium size, then the smallest. We write them in order from largest to smallest. Algebra Tiles

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You can only combine terms that are alike, or terms that have the same variable. When I combine like terms I have 2x 2 + 3x + 6 x2x2 x x2x2 x x 6 Algebra Tiles

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You are going to get your own set of algebra tiles to use. Take them out of the bag and put them on your desk. The red should be on the bottom. Algebra Tiles

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Small Square Area = 1 Rectangle x Area = x Large Square x x Area = x 2 Algebra Tiles

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Small Square Area = -1 Rectangle x 1 Area = -x Large Square x -x Area = -x 2 Algebra Tiles

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Show me 3 + x 2 with your tiles Since no terms are alike, we can’t combine anything, so my answer is x Algebra Tiles

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Show me x x with your tiles We can combine the terms that are alike. So my answer is is 3x + 3 Algebra Tiles

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Show me 3x x + 4 with your tiles We can combine the terms that are alike. So my answer is is 4x + 6 Algebra Tiles

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Try these problems with your algebra tiles. Combine like terms. Give me a thumbs up when you know the answer. = 6x + 5 = 3x 2 + 2x + 4 = 4x 2 +3x+2 1)2x x + 1 2)2x 2 +2x x )1 + 3x + 3x x 2

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Like terms can be combined ! Like TermsUnlike Terms

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Combine the following like terms. 1) 3x + 5y + 4x 2) 4a a - 2 7x+ 5y a+ 4 Say these!

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Combine the following like terms. Say these! 3) x + 3y + 2x + 4y - z 4) 3x+ 7y- z

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1) 7m - 2m + 8m 2) -3y + y - 8y 3) 11r - 5r - 9r 4) -3k + 5k + -k + 2k 5) t - 4t + -3t + 2t 6) 11x - 4x + x + -3x 13m -10y -3r 3k -4t 5x Say these!

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Put your algebra tiles back in your bag and ziplock them. Pass your tiles forward quickly. Take Out Your Study Guide !!!

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When I combine like terms I have 2x 2 + 3x +6 x2x2 x x2x2 xx 6 #5 Terms are in expressions or equations, and they are separated by addition or subtraction signs. 6x 2 + 3x terms Write terms in order from largest shape to smallest.

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Combine Like Terms You can only combine terms that are alike, or terms that have the same variable. #6 1) 7x - 4y + 2x - y 2) 3m + 10n - 4m + 1 3) 6a - (5a) + 2a + (-3) 4) 4k - (2j) - 6k - j 9x -m 3a -2k - 3j - 5y + 10n

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Extra slides

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x2x2 #Extra x x A = x x = x 2 y2y2 y y A = y y = y 2 x 1 A = 1 x = x x y 1 A = 1 y = y y xy x y A = x y = xy 1 1 A = A =

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