Name ________________________
Date __________
Algebra I
Unit 3 Day 1
Objectives:
1) Today we will learn to simplify expressions by using the distributive
property and combining like terms.
2) By the end of class we will be able simplify expressions by using thee
distributive property and combining like terms.
Distributive Property and Combining Like Terms
Distributive Property - _________________ everything in the parenthesis
by the term outside the parenthesis.
2(x + 3)
-3(x + 4)
-(x - 1)
8(x - 9)
-6(x – 7)
4(x + 11)
-5(x – 2)
-(x + 7)
You try!
6(x + 4)
Combining Like Terms - _______________ or _______________ terms
that are numbers or contain the same variable. Like terms are on the same
side of the __________ sign.
2x + 3x =
7x + 2y =
5x + 2y – x =
5 + 3x – 2 + 4x =
5a + 2b – 3c – a + 6b – 5c =
You try!
7 + 2x – 4 =
10 – 2y + 12 – 3y =
4x – 3y + 5 =
-2a + 5b – 3a + c –b =
Putting it all together!
5(x – 2) + 3 =
2x + 4(x – 8) =
3(x – 3) + 2(x + 4) =
7(x + 2y) – 3(2x +y) =
You try!
10(x – 3) – 9 =
6x – 4(x – 5) =
-2(x + 6) + 9(x + 3) =
5(2x + 3y) – 2(3x – 2y) =
3x + 8(4x - 6y) – 7y =
10(2x + 3) – y + 4x =
7(x + 2y – 3z) + 10 – x =
- (2x -7y) – 3( 5x +4y)=
2(x + 7) – 2(x + 7) =
- (x + 6) + x + 12 =