1. Example #1
2(a + 3) - 1(2a - 1)
2a a + 1
2a - 2a
6 + 1 7

2. Example #2
5a - 1/2(2a + 4)
5a -a - 2
4a - 2

3. Remember that perimeter is the sum of ALL the sides
Visual Diagrams
Remember that perimeter is the sum of ALL the sides
Write an expression for the perimeter
b - 2a a a a a
b - 2a
b - 2a a a a a
b - 2a

4. 4 (b-2a) +8 a 4b - 8a + 8a 4b Visual Diagrams
(b-2a) + a + a + (b-2a) + a + a+ (b-2a) + a + a + (b-2a) + a + a
4 (b-2a) +8 a
4b - 8a + 8a 4b

5. Visual Diagrams You try this one.
Write an expression for the perimeter
You try this one.
x + 4 2x y
y + 1
y+1
y + 1 2x y
x + 4

6. Visual Diagrams
(x+ 4) + y + (y+1) + (y+1) + (x+1) + y + (x+4) + 2x + 2x
2(x+ 4) + 3(y+ 1) + 2y + 4x
2x y y + 4x
6x + 5y + 11

7. Visual Diagrams Write an expression for the perimeter a + 2b a + 2b

8. Visual Diagrams
(a + 2b) + (a + 2b) + (2a - b) + (4 - 2b) + (2a - b) + (a + 2b) + (a + 2b) + (2a - b) + (4 - 2b) + (2a - b)
4(a +2b) + 4(2a - b) + 2(4 - 2b)
4a + 8b + 8a - 4b b
12a + 8

9. Distributive Property
1.) 6(3x - 5)
2.) -(2x - 8)
3.) -7(3x + 7)
4.) 2 + 4(5x - 3)

10. Distributive Property
5.) 4 - (2x - 7)
6.) 6 -3(5x - 7)
7.) 2x-7(x + 3)
8.) 2(3x - 5y) + 4(5x - 3)

11. Answers
1.) 18x - 30
2.) -2x + 16
3.) -21x - 49
4.) 20x -10

12. Answers
5.) -2x + 11
6.) -15x + 27
7.)-5x - 21
8.) 26x -10y -12

13. Classwork Do Algebra word search Homework: page 98 (9-45 0dd)
Show all your work