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 2a + 2 – 2a2 – 3a -2a 2 – a + 2
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 (-4 + 2y) + (2y2 – 3y + 2) 2y2 – y - 2
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