1. Do Now

2. Section 1.4 The Distributive Property
Use the distributive property.
Simplify expressions by combining like terms.
SWBAT:

3. What property allows us to do this? Distributive Property
Mental Math
You’re in Macy’s looking to buy a few Ed Hardy T-shirts. At $37 each, you want to know how much 3 of them will cost you. Hmmmm… mental math? You can’t possibly use your cell phone instead of your head!
3(37)
= 3(30 + 7)
= 3∙30 + 3∙7 =
= 111
3(37)
= 3(40 – 3)
= 3∙40 – 3∙3 =
= 111
What property allows us to do this?
Distributive Property

5. The Distributive Property
Symbols
Example
a(b + c) = ab + ac
5(x + 2) = 5x + 10
(b + c)a = ba + ca
(x + 4)8 = 8x + 32
a(b – c) = ab – ac
4(x – 7) = 4x – 28
(b – c)a = ba – ca
(x – 5)9 = 9x – 45

6. Like Terms
Coefficient: the # in front of a variable.
Constant: number terms.
3y2 – x + 3
The coefficient is -1
Like Terms: terms with the same variables & exponents
3x 4x y2 6y2

7. Multiplying Real #’s Ex. 2 YOU TRY! Simplify. -3(x + 4) b) -(6 – 3x)
c) (y + 5)(-4)
d) (x – 1)(-9x)

8. Multiplying Real #’s 3 – 2(4 + x) 8x + 3x b) 4x2 + 2 – x2
Ex. 3 Simplify by Combining Like Terms
3 – 2(4 + x)
8x + 3x
b) 4x2 + 2 – x2

9. Open Ended – pg 27 #1
A pilot at an air show charges $25 per passenger for rides. If 12 adults and 15 children ride in one day, write and evaluate an expression to describe the situation.

10. Did We Reach Our Objective?
Use the distributive
property.
Simplify expressions
by combining like terms.

11. Homework
Section 1.4
#26 – 38 Evens, 42 – 48