1. Do Now:
Simplify the algebraic expression
16y6 + 4y4 – 13y

2. Homework answers
9x ) 10p2
20y ) 9x4
6c )h2
30d
2f2
10a3
5k2

3. Goal:
Learn to identify like terms and simplify algebraic expressions.

4. Write an expression using the side lengths. 2x + 3 + 3x + 2 + x
Example
Write an expression for the perimeter of the triangle. Then simplify the expression.
2x + 3
3x + 2 x
Write an expression using
the side lengths.
2x x x
(x + 3x + 2x) + (2 + 3)
Identify and group like terms.
6x + 5
Add the coefficients.

5. Write an expression using the side lengths. x + 2x + 1 + 2x + 1
Write an expression for the perimeter of the triangle. Then simplify the expression.
2x + 1
2x + 1 x
Write an expression using
the side lengths.
x + 2x x + 1
(x + 2x + 2x) + (1 + 1)
Identify and group like terms.
5x + 2
Add the coefficients.

6. Identify like terms in the list.
1. 3n2 5n 2n3 8n
2. a5 2a2 a3 3a 4a2
Simplify. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary.
3. 4a + 3b + 2a
4. x2 + 2y + 8x2
5n, 8n
2a2, 4a2
6a + 3b
9x2 + 2y

7. Write an expression for the perimeter of the given figure.
2x + 3y
x + y
x + y
2x + 3y
6x + 8y