Introduction to Distributive Property

Distributive Property:

An Introduction​

​By: Mr. Hankins

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• You should multiply the variable in front of the parenthesis 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 can be replaced by numbers.

• 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 being multiplied by each other.

​Reminders for the Distributive Property.

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 multiplies itself 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 5 and 3 by it.

• (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

Multiple Choice

12(3 + 4) =

• 36 + 48

• 15 + 16

• 123 + 124

• 0.84

Multiple Choice

Generate an equivalent expression using the Distributive Property:

4(9b+8)

• 36 + 32

• 32b + 8

• (4 x 9b) + (4 x 8)

• 68b + 4

Multiple Choice

Generate an equivalent expression using the Distributive Property:

a ( 7 + 2)

• 7a+2a

• 7a + 2

• 2a + 7

Multiple Choice

Generate an equivalent expression using the Distributive Property:

Hint: Watch the signs!

4(x-2)

• 4x+8

• 4x-6

• 4x-8

Multiple Choice

Which expression is equivalent to 36 + 42 ? Using the Greatest Common Factor (GCF)?

$$GCF\ OF\ 36\ \&\ 42\ IS\ 6$$   36/6=6       AND      42/6=7 Distributive Expression: 

• 6(6+7)

• 6(6x7)

• 6(30+36)

Multiple Choice

Factor this numerical expression using GCF.

24 + 30

• 6(4) + 6(2)

• 8(3+4)

• 6x2+5

• 6(4+5)

Multiple Select

Check all answers that apply to this expression:

Hint: It can be more than one

7(5 + 4) =

• (7 x 5) + (7 x 4)

• 63

• 35 + 28

• 35x28

Can You Solve The Next Question?

The next question is a challenge question. Let's see who can think beyond what is expected!

Multiple Choice

If m = 9, what is 4m + 2m?

• 78

• 24

• 54

• 18