Distributive Property and Factoring

Distributive Property and Factoring

by Kevvin Hankins

Distributive Property

Let's use our notes and practice distributive property!

Review

• The number or variable in front of the parenthesis should be multiplied by EVERYTHING inside the parenthesis.

• The answers should then be added or subtracted depending on what sign is in between the numbers.

• Letters in an equation take the place of an unknown number

• YOU CAN MULTIPLY THE NUMBERS IN FRONT OF LETTERS

• YOU CAN'T ADD NUMBERS AND LETTERS TOGETHER

• Numbers next to each other like this 2(3) means the numbers are multiplying

Multiple Choice

Use your notes to write this equation in another form...

9(4+3)

• 9(4)+9(3)

• 3(4)+9(3)

• 4(9)+4(3)

For the problem 9(4+3)...

• The 9 is outside the parenthesis so this is the number that needs to be multiplied by EVERYTHING inside the parenethesis

Multiple Choice

Use your notes to write this equation in another form...

6(1-7)

• 7(1)-7(6)

• 1(6)-1(7)

• 6(1)-6(7)

Multiple Choice

Use your notes to write this equation in another form...

2(5+3)

• 15+10

• 10+6

• 6+15

For the problem 2(5+3)

• 2 is the number before the () so you will need to multiply it by the 5 and 3

• (2x5)+(2x3)

Multiple Choice

Use your notes to write this equation in another form...

5(3-7)

• 21-15

• 15-35

• 35-21

Multiple Choice

Use your notes to write this equation in another form...

2(3x+1)

• 2x+2

• 6+2

• 6x+2

• 8x

For the problem 2(3x+1)

• 2 should be multiplied by 3x and 1

• 2(3x) means you multiply the numbers in front of the x

• 2 should then be multiplied by one

• since 6x has an x in it and 2 does not they can't be added.

Multiple Choice

Use your notes to write this equation in another form...

5(3x-2)

• 15x-10

• 25x

• 5x

• 15x+10

Multiple Choice

Use your notes to write this equation in another form...

9(x+1)

• 9x-9

• 9x-1

• 10x

• 9x+9

Multiple Choice

Solve this problem...

8(2+3)

• 40

• 45

• 24

• 32

Multiple Choice

Solve this problem...

6(4-1)

• 15

• 16

• 17

• 18

Multiple Choice

Solve the problem...

3(9+1)

• 20

• 30

• 40

• 50