1. 1.3 – Simplifying Expressions
Textbook pg. 46
Objective:
The student will use the distributive property and definition of like terms in order to simplify expressions.

2. STANDARD FORM Rewrite: 1) 5x2 + 6x4 – 3x + 9x7 – 2
All polynomials should go:
Alphabetically (variables)
Descending order (exponents)
Rewrite:
1) 5x2 + 6x4 – 3x + 9x7 – 2
2) 6a – 8bc + 7c + ab – ac
3) 3x2 – 5xy + 6y – y3 – 7x

3. 2y 7 4x2 3 Like terms: exact same variables with same exponents
x2 4ab – 5 12y -ab
2y x2 3
Simplify:
4) 8x – 7y – 5x + 9y 5) -4a2 + 7ab – 2a2
6) 5a2b + 4ab2 + 3a – 7ab2 + a2b

4. Distributive multiplying one term to ALL Property: other terms
7) 5(3x2 + 2x – 4) 8) -7ab(5a + 9b -3c) 9) x2y(9 + 2y)

5. Simplifying: distribute first, combine second
10) 8x(x – 3) – 10x
11) 5m –(mn – 8m + 3n) + 6n
12) 4xy2 + 8x2 – 7y + x(3x – y2)

6. Name Date Period 1.3 HW – pg. 50 #9-19 (odd), 38-40, 61-64, 69-71, 87-90