1. Section 5.2 – Simplifying (Like & Unlike Terms)

2. Like Terms = terms that can be represented by algebra tiles with the same size & shape
Exponent on the variable will be the same
Tile colour can be different!
ex) -2x2 and x2 are like terms
ex) 4x, -x, and -2x are like terms

3. Unlike terms are modeled with different algebra tiles ex) -3x2 and 2x are unlike terms

4. Simplifying Polynomials
A simplified polynomial will:
use the fewest tiles possible
Have a symbolic form containing only one term of each degree
To simplify:
Group like terms
Remove zero pairs
Combine like terms

5. ex) Simplify: 3n2 + 4 – x + 2x – 4n2 + 1
1. Group (in descending order!)
2. Remove zero pairs

6. Try without using algebra tiles (symbolically):
3. Combine like terms
What’s left?
-n2 + x + 5
Try without using algebra tiles (symbolically):
ex) 4x2 + 2 – 7x + 5x – 6x2 + 1 – x
4x2 – 6x2 – 7x + 5x – x
- 2x – 3x
reorder
Gather like terms

7. Perimeter Questions: 1. Write a polynomial to represent the perimeter:x x x x
P = x + x + x + x + x + x + x + x + x + x x x x x x
P = 10x x
P = x x x
P = 2x + 6 1

8. Simplifying Polynomials with 2 Variables
ex) 2xy – 3x2 + y2 + 2xy – 2x2 – 4y2 -3x2 – 2x2 + 2xy + 2xy + y2 – 4y2 - 5x2 + 4xy – 3y2
reorder
Gather like terms
p. ______ #