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Algebra Tiles

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On a piece of paper. Draw and label each Algebra tile. Unit - value positive 1 Rod – value positive x Square – value positive x 2 Unit - value negative 1 (-1) Rod – value negative x (-x) Square – value negative x 2 (–x 2 )

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Algebraic Expressions Represent each expression with tiles. 3x + 2 – 2x + 3-x + 2 – 2x + 3x

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Combining Like Terms Represent the expression with tiles. Combine the terms that are alike. Write new expression in simplest form. 2a + 2 – 2a 2 – 3a Remember: (+1) and (-1) make zero Remove all zero pairs. -2a 2 – a + 2 Remember: Write your answer from largest to smallest exponent.

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Adding Polynomials Represent the expressions with tiles. Combine the terms that are alike. Write new expression in simplest form. (-4 + 2y) + (2y 2 – 3y + 2) 2y 2 – y - 2

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Adding Polynomials Practice 1. (x 2 – 3 + 2x) + (x 2 – 1 + 4x) 2. (5 + 2g 2 – 3g) + (– 2 – g 2 – 2g) 3. (3p 2 + 2p) + (– 3p + 4 – p 2 ) 4. (6m + 2m 2 – 3) + (m 2 –m – 5) 5. (y + 2y 2 – 4) + (2y – 3y 2 – 2) Represent each expression with tiles. Combine the terms that are alike. Write new expression in simplest form. 1. 2x 2 + 6x – 4 2. g 2 – 5g p 2 – p m 2 - 5m – y 2 + 3y - 6

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Distributive Property Represent the expression with tiles. Combine the terms that are alike. Write new expression in simplest form. 2 (x 2 + 2x – 1) 2x 2 + 4x – 2

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Distributive Property Represent the expression with tiles. Combine the terms that are alike. Write new expression in simplest form. 3 (-x 2 -2x + 3) -3x 2 -6x + 9

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Distributive Property Represent the expression with tiles. Combine the terms that are alike. Remember to do the opposite for (-) Write new expression in simplest form. - (-2x + 3) 2x - 3

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Distributive Property Represent the expression with tiles. Combine the terms that are alike. Remember to do the opposite for (-) Write new expression in simplest form. -3 (x 2 + 2x - 1) -3x 2 - 6x + 3

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Distributive Property Practice Represent the expression with tiles. Combine the terms that are alike. Write new expression in simplest form. 1. 2(2x + x 2 – 1) 2. 3(2g 2 – 3g – 2) 3. -(-3p 2 + 2p + 4) 4. -3(2m 2 – m + 2) 5. -2(2y – 3y 2 + 5) 1. 2x 2 + 4x g 2 – 9g p 2 – 2p m 2 + 3m – y 2 - 4y - 10

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