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Algebra Tiles

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

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Algebra Tiles

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  1. Algebra Tiles

  2. Algebra Tiles • On a piece of paper. Draw and label each Algebra tile. Unit - value negative 1(-1) Rod – value negative x(-x) Square – value negative x2(–x 2) Unit - value positive 1 Rod – value positive x Square – value positive x 2

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

  4. Combining Like Terms • Represent the expression with tiles. • Combine the terms that are alike. • Write new expression in simplest form. Remember: (+1) and (-1) make zero Remove all zero pairs. 2a + 2 – 2a2 – 3a Remember: Write your answer from largest to smallest exponent. -2a 2 – a + 2

  5. Adding Polynomials • Represent the expressions with tiles. • Combine the terms that are alike. • Write new expression in simplest form. (-4 + 2y) + (2y2 – 3y + 2) 2y2 – y - 2

  6. Adding Polynomials Practice • Represent each expression with tiles. • Combine the terms that are alike. • Write new expression in simplest form. • (x2 – 3 + 2x) + (x2 – 1 + 4x) • (5 + 2g2 – 3g) + (– 2 – g2 – 2g) • (3p2 + 2p) + (– 3p + 4 – p2) • (6m + 2m2 – 3) + (m2 –m – 5) • (y + 2y2 – 4) + (2y – 3y2 – 2) • 2x2 + 6x – 4 • g2 – 5g + 3 • 2p2 – p + 4 • 2m2 - 5m – 8 • -y2 + 3y - 6

  7. Distributive Property • Represent the expression with tiles. • Combine the terms that are alike. • Write new expression in simplest form. 2 (x2 + 2x – 1) 2x2 + 4x – 2

  8. Distributive Property • Represent the expression with tiles. • Combine the terms that are alike. • Write new expression in simplest form. 3 (-x2 -2x + 3) -3x2 -6x + 9

  9. 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

  10. 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 (x2 + 2x - 1) -3x2 - 6x + 3

  11. Distributive Property Practice • Represent the expression with tiles. • Combine the terms that are alike. • Write new expression in simplest form. • 2(2x + x2 – 1) • 3(2g2 – 3g – 2) • -(-3p2 + 2p + 4) • -3(2m2 – m + 2) • -2(2y – 3y2 + 5) • 2x2 + 4x- 2 • 2. 6g2 – 9g - 6 • 3. 3p2 – 2p - 4 • 4. -6m2 + 3m – 6 • 5. 6y2 - 4y - 10

  12. THE END THE END THE END

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