Distributive Property Lesson

Multiple Select

Could the taco Bell example be simplified using the Distributive Property?

• yes

• no

Composition Notebook

Think you should maybe write some of this down?!?!

Distributive Property

Use this property to simplify expressions with parenthesis & variables (letters)!

Multiple Select

Could the taco Bell example be simplified using the Distributive Property?

• yes

• no

Composition Notebook

Think you should maybe write some of this down?!?!

​Distributive Property

Before you begin, please make sure you have your EdPuzzle notes out and ready to follow along. You will be answering questions as you go through the lesson!​

VOCAB: Distributive Property | Constants | Coefficients | Variables​

A number standing on its own in an expression​

​Constant

Each piece of an expression that is separated by + or - signs (sometimes division).​

​Term

​KEY VOCABULARY

Take Away: Terms are separated by +/-, and constants are LONELY!​

An unknown represented by a letter in an expression.​

​Variable

A number attached to a variable by multiplication.​

​Coefficient

​KEY VOCABULARY

Take Away: Coefficients are attached to variables, and variables are letters!

The number connected to the OUTSIDE of the parentheses is "shared" BY MULTIPLICATION with all variables, constants, and coefficients on the INSIDE of the parentheses.​

​

​KEY TERMS: Constant | Variables | Coefficient

​Distribute = SHARE

​

​Distributive Property

​Draw your arrows, then multiply.

You are able to keep up with what terms to multiply when using the distributive property when you draw your arrows FIRST.​

Take Away: ALWAYS, ALWAYS DRAW YOUR ARROWS FIRST!​

Multiple Choice

Use the distributive property to solve:

6(y + 4)

• 6y + 24

• 6y + 4

• y + 24

• 6 + y + 4

Multiple Choice

Use the distributive property to solve:

5(2x - 3)

• 10x - 15

• 10x + 3

• 2x - 15

• 10x + 15

​

Multiplying the SAME variables gives them an exponent by how many of those variables you multiplied together.​

​x ⋅ x = x²

Multiplying two DIFFERENT variables together means they essentially​ become "stuck together" by multiplication.

​x ⋅ y = xy

​Multiplying Variables

Some text here about the topic of discussion

Multiply the two coefficients, then "stick" the variables together using multiplication.​

​2x ⋅ 2y = 4y

A lonely variable means there is a "1" in front of it.

​

Multiplying two DIFFERENT variables together means they essentially​ become "stuck together" by multiplication.

​2x ⋅ y = 2xy

​Multiplying Variables

Some text here about the topic of discussion

Multiple Choice

Use the distributive property to solve:

2x(3 + 6y)

• 6x + 12xy

• 6 + 12y

• 6x + 12

• 6x + 6y

Multiple Choice

Use the distributive property to solve:

3y(2x + 4y)

• 6xy + 12y²

• 6y + 12y

• 6xy + 4y

• 6xy + 12yy

You did it! How did you do on practice questions?
Do you need to go back and try again?​

Multiple Choice

What does it mean to distribute?

• To multiply the numbers inside the parentheses by the number on the outside.
• To add all of the numbers together.
• To do the order of operations.

Multiple Choice

What do the parentheses tell you to do?

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Rewrite using the Distributive Property:

6(3 + 6)

• (6x3) + 6

• 63

• (6x3) + (6x6)

• 18 + 36

Multiple Choice

What is the simplified version of this expression?  

5(a+6)

• 5a+6

• a+30 

• 5a+30

• 5a−30 

Multiple Choice

What is the first step to distribute in this problem?

2(5x + 7)

• Add 2 + 5 + 7

• Add 5x + 7

• Multiply 2(5x) and 2(7)

• Multiply 5x + 7

Multiple Choice

Use distributive property to solve:

3(c - 5)

• 3c + 8

• 3c - 15

• 9c - 5

• 3c + 15

Multiple Choice

Distribute & Simplify:

5(y - 1)

• 5y + - 5

• 5y + 5

• -5y + 5

• -5y - 5

Multiple Choice

Distribute & Simplify:

3(3x +1)

• 9x +3
• 3x + 3
• 12x
• 9x + 1

Day 2

​

Multiple Choice

• A

• B

• C

• D

Open Ended

Use the distributive property

4(x-2)

Multiple Choice

What is the simplified version of this expression? $$5(a+6)$$  

• $$5a+6$$  

• $$a+30$$  

• $$5a+30$$  

• $$5a-30$$  

Multiple Choice

What is the simplified version of this expression? $$7\left(5x-1\right)$$  

• $$35x+7$$  

• $$35x-1$$  

• $$35x-7$$  

• $$-35x-7$$  

Multiple Choice

3(2c - 5)

• 6c - 15
• 6c + 15
• 6c + 15
• -6c - 15

Multiple Choice

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Distributive Property

TEK 6.7D

The Distributive Property

• The distributive property allows us to multiply each term inside parentheses by the number outside the parentheses. 

• 4(3 + 4) = 4(3) + 4(4)

​Distributive Property

​Draw your arrows, then multiply.

You are able to keep up with what terms to multiply when using the distributive property when you draw your arrows FIRST.​

Take Away: ALWAYS, ALWAYS DRAW YOUR ARROWS FIRST!​

Using Variables

• Multiply 5 times x

• Multiply 5 times 6

• We multiply the outside number by all terms on the inside of the parentheses.

Multiple Choice

Which is equivalent to 5(a + 6)?

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

2(4k + 7)

• 4k-9

• 4K+9

• 8k-14

• 8k+14

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n

Multiple Choice

Simplify
14(b – 10).

• 4b
• b – 140
• 14b – 140
• 14b – 10

The Distributive Property

• The distributive property allows us to multiply each term inside parentheses by the number outside the parentheses. 

• 4(3 + 4) = 4(3) + 4(4)

Distributive property/ expressions

By Ashlyn Mathews

Distributive Property- review

Distributive Property Review

Please click here to watch a 8 minute video to watch a review on distributive property​. (please take good notes on this,

Multiple Choice

What is the simplified version of this expression?  5(a+6)?

• 5a+6

• a+30 

• 5a+30

• 5a−30 

Multiple Choice

What is the simplified version of this expression?  7(5x -1 )

• 35x+ 7

• 35x - 7

• 35x - 1

• -35x - 7

Multiple Choice

Use distributive property to solve:

3(2c - 5)

• 3c + 15

• 6c - 15

• 9c - 5

• 6c + 15

Multiple Choice

Use distributive property to solve:

- ( 8 - m)

• -8 + m

• -8 - m

• 8 + m

Multiple Choice

Siimplify: 2x ( 3 + 4)

• 14x

• 6x + 4

• 6x - 4

• -14x

Multiple Choice

 

3x (9 + 2y - 3z)

• 27x + 6xy - 9xz

• 27 + 6y - 9z

• 24xyz

Combining like terms

Please take notes on combining like terms . Please click here to watch a 4 minute video on this.

Multiple Choice

Combining like terms: 7y + 2y

• 7

• 9y

• -9y

• 10

Multiple Choice

Combine like terms: -8d + 8d

• 0

• 16d

• -8d

• 8d

Multiple Choice

12a - 5a

• 7

• 7a

• -7a

• 6

Multiple Choice

8x - 10x + x

• -x

• x

• 2x

• -2x

Multiple Choice

3x + 2x + 1

• 5x + 1

• 5x -1

• 4x + 1

• -4x - 1

Multiple Choice

-4k-7+5k

• -9k - 7

• 2k -7

• 9k + 7

• -7 + k