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Published byDeasia Budd Modified over 2 years ago

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1.7 and 1.8 Solving one step equations with algebra tiles

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Algebra Tiles: We have 2 types of tiles we will be working with this year: x 1x So, we name the tiles by their areas: xs and ones (unit tiles).

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How can we show zero with the tiles? A zero is a positive and negative tile of the same type. We show a negative with the tiles by its color. The RED side is negative. If we are drawing a picture, the NON-shaded tile is Negative. Ex: = 0

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Solving Equations Why do we need to solve equations? We need to find the value of the variable that makes the equation true. How to solve equations: *Get the variable (x) by itself. **Legal moves: a)Make zeros to get rid of unit tiles…put the same # of tiles on BOTH sides of =s. b)Divvy up unit tiles on one side so EACH x tile receives the same # of unit tiles. c)If x tiles are negative, flip all tiles (once x tiles are alone) to their opposite sign. d)If an x tile is being divided into parts, EACH part has the SAME # of unit tiles in it. Count how many unit tiles are in the WHOLE x tile.

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Examples: a) x + 1 = 3 b) 2x = 6 c) 8 = -4kd) zeros So, x = 2 x = 3 Since a –k = 2, FLIP! k = -2 So, the WHOLE m = -12

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