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

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Presentation on theme: "Is this a “ positive 5 ” or “ plus 5 ”? +5 BOTH."— Presentation transcript:

1 http://www.mathslideshows.com

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

3 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 +

4 http://www.mathslideshows.com Is this a “ negative 7 ” or “ minus 7 ”? -7 BOTH

5 http://www.mathslideshows.com HINT: The sign in front of the number BELONGS TO THE NUMBER ! –7

6 http://www.mathslideshows.com “ Simplify ” means to combine like terms and complete all operations 2x + + 3x = 7x

7 http://www.mathslideshows.com Terms in an expression are like terms if they have identical variable parts. You can combine terms that are alike.

8 http://www.mathslideshows.com To look at combining like terms we are going to use ALGEBRA TILES! Algebra Tiles help us to visualize what each term represents.

9 http://www.mathslideshows.com Small Square Area = 1 Rectangle x 1 1 1 Area = x Large Square x x Area = x 2 Algebra Tiles

10 http://www.mathslideshows.com How much do I have here? I have 5x + 4 Algebra Tiles

11 http://www.mathslideshows.com 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

12 http://www.mathslideshows.com 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

13 http://www.mathslideshows.com 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

14 http://www.mathslideshows.com Small Square Area = 1 Rectangle x 1 1 1 Area = x Large Square x x Area = x 2 Algebra Tiles

15 http://www.mathslideshows.com Small Square Area = -1 Rectangle x 1 Area = -x Large Square x -x Area = -x 2 Algebra Tiles

16 http://www.mathslideshows.com Show me 3 + x 2 with your tiles Since no terms are alike, we can’t combine anything, so my answer is x 2 + 3 Algebra Tiles

17 http://www.mathslideshows.com Show me x +3 + 2x with your tiles We can combine the terms that are alike. So my answer is is 3x + 3 Algebra Tiles

18 http://www.mathslideshows.com Show me 3x + 2 + x + 4 with your tiles We can combine the terms that are alike. So my answer is is 4x + 6 Algebra Tiles

19 http://www.mathslideshows.com 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 + 4 + 4x + 1 2)2x 2 +2x + 3 + x 2 + 1 3)1 + 3x + 3x 2 + 1 + x 2

20 http://www.mathslideshows.com Like terms can be combined ! Like TermsUnlike Terms

21 http://www.mathslideshows.com Combine the following like terms. 1) 3x + 5y + 4x 2) 4a + 6 - 3a - 2 7x+ 5y a+ 4 Say these!

22 http://www.mathslideshows.com Combine the following like terms. Say these! 3) x + 3y + 2x + 4y - z 4) 3x+ 7y- z

23 http://www.mathslideshows.com 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!

24 http://www.mathslideshows.com Put your algebra tiles back in your bag and ziplock them. Pass your tiles forward quickly. Take Out Your Study Guide !!!

25 http://www.mathslideshows.com 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 - 4 3 terms Write terms in order from largest shape to smallest.

26 http://www.mathslideshows.com 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 + 1 - 3 1

27 http://www.mathslideshows.com Extra slides

28 http://www.mathslideshows.com 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 = 1 1 1 -1 A = - 1 - 1


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