Distributive Property

​Distributive Property

VOCAB: Distributive Property | Constants | Coefficients | Variables​

Poll

How are you feeling today?

• Terrific!

• Pretty good

• Bad

• Terrible

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!

Fill in the Blank

What are the TERMS in this expression?

2n + 4g + 3 + y

Fill in the Blank

What is the CONSTANT in this expression?

2n + 4g + 3 + y

Fill in the Blank

What are the COEFFICIENTS in this expression?

2n + 4g + 3 + y

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

Multiple Choice

2(4x - 7)

• 8x - 14

• 8x-7

• 6x+7

• 8x+14

Multiple Choice

2(4 + 9w) 

• 8+9w

• 2+9

• 8+18w

• 2+9w

Multiple Choice

-4(-4d + 5)

• -16d+20

• 16+20

• 16d -20

• 16s-20

Multiple Choice

-3(2c - 5)

• -6c - 15

• -6c + 15

• 6c + 15

• 6c - 15

Multiple Choice

-4(k - 7)

• -4k + 28

• -4k - 28

• 4k + 28

• 4k - 28

Multiple Choice

-1(3v - 8)

• -3v-8

• 3v-8

• -3v+8

• 6v+8

Multiple Choice

4(p - 6)

• -4p - 24

• 4p + 24

• 4p + 24

• 4p - 24

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 7n

• 10 - 7n

• 10 - 35n

• 10 + 35n

Multiple Choice

Distribute

9(x - 5)

• 9x + -45

• 9x + 5

• 9x + 14

• 9x + 45

Multiple Choice

Distribute

10(x - 20)

• 10x + 20

• 10x - 200

• 10x + 30

• 10x - 20

Multiple Choice

Distribute
-15( 2x - 2)

• -15 + 2x + 2

• -30x + 30

• -30x - 30

• -15x + 2

Multiple Choice

-8(6x + 3)

• 48X+3

• -48X-3

• 14x+3

• -48x - 24

Multiple Choice

4(5+3g)

• 9+8g

• 20g+12

• 20+12g

Multiple Choice

Use the distributive property to write an equivalent expression.
-8(z - 5)

• -8z - 40

• -8z + 40

• -8z - 13

• -8z - 13