warm up mental math use mental math to solve the equation. (lesson 1.4) 1. 6 + x = 8 2. x – 7 = 4...

WARM UP

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

4

WARM UP


1. 6 + x = 8

2. x – 7 = 4

3. 8 – x = 4

4. 3x = 15

5. (x)(2) = 24

6. X ÷ 6 = 2

3

WARM UP


1. 6 + x = 8

2. x – 7 = 4

3. 8 – x = 4

4. 3x = 15

5. (x)(2) = 24

6. X ÷ 6 = 2

2

WARM UP


1. 6 + x = 8

2. x – 7 = 4

3. 8 – x = 4

4. 3x = 15

5. (x)(2) = 24

6. X ÷ 6 = 2

1


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

2.6 The Distributive Property

Today’s Objective

Simplify expressions using the distributive

property.

Distribution

What operation happens here?

3(x + 2)

Definition

Distributive PropertyA number outside parenthesis must be multiplied by everything inside

Ex. 3(x + 2) = 3(x) + 3(2)

=3x + 6Keyword = SHARED

Distributive Property

Think of it like this…

Ex. 3(x + 2) = ???

3(x + 2)

3x + 32

** 3 is the candy.We must share the candy with everyone.That is, we must share 3 with x & 2.


• Think of it like this…

Ex. -10(x + 9) = ???

-10(x + 9)Uh oh! Don’t lose the negative sign as you distribute the spotlighted number!!

-10(x) + -10(9)-10x + -90

-10x - 90

Distributive Property• Think of it like this…

Ex. -5(x – 7) = ???

-5 (x – 7)Make sure you know where your negative signs are in this problem!!!!!



Ex. 3(2x +3y – 4) = ???

3 (2x + 3y – 4)



Ex. -5(2x – y) = ???

-5 (2x – y)Make sure you know where your negative signs are in this problem!!!!!


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)

warm up mental math use mental math to solve the equation. (lesson 1.4) 1. 6 + x = 8 2. x – 7 = 4...

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mental math

distributive property

negative signs

spotlighted number