WARM UP
4
MENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1.
6+x=8
2.
x–7=4
3.
8–x=4
4.
3x = 15
5.
(x)(2) = 24
6.
X÷6=2
WARM UP
3
MENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1.
6+x=8
2.
x–7=4
3.
8–x=4
4.
3x = 15
5.
(x)(2) = 24
6.
X÷6=2
WARM UP
2
MENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1.
6+x=8
2.
x–7=4
3.
8–x=4
4.
3x = 15
5.
(x)(2) = 24
6.
X÷6=2
WARM UP
1
MENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1.
6+x=8
2.
x–7=4
3.
8–x=4
4.
3x = 15
5.
(x)(2) = 24
6.
X÷6=2
WARM UP
0
MENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1.
6+x=8
2.
x–7=4
3.
8–x=4
4.
3x = 15
5.
(x)(2) = 24
6.
X÷6=2
2.6 The Distributive Property
Simplify expressions using
the distributive property.
What operation happens here?
Distributive Property
A number outside parenthesis must be
multiplied by everything inside
Ex.
Think of it like this…
Ex. 3(x + 2) = ???
** 3 is the candy.
We must share the
candy with everyone.
That is, we must
share 3 with x & 2.
3
3
Distributive Property
• Think of it like this…
Ex. -10(x + 9) = ???
Uh oh! Don’t lose the
negative sign as you
distribute the
spotlighted number!!
-10(x + 9)
-10(x) + -10(9)
-10x + -90
-10x - 90
• Think of it like this…
Ex. -5(x – 7) = ???
Make sure you know
where your negative
signs are in this
problem!!!!!
-5 (x – 7)
• Think of it like this…
Ex. 3(2x +3y – 4) = ???
3 (2x + 3y – 4)
• Think of it like this…
Ex. -5(2x – y) = ???
Make sure you know
where your negative
signs are in this
problem!!!!!
-5 (2x – y)
EXAMPLE 1
2(x + 5)
EXAMPLE 2
8(1 + 2x)
EXAMPLE 3
5(x + 3)
EXAMPLE 4
(2x + 6)3
EXAMPLE 5
2(x – 5)