Distributive Property

The Distributive Property

Multiple Choice

Simplify the expression:

3x² - x + 7 + 5x + 2 - 2x²

• x² + 4x + 9

• 5x² + 4x + 9

• 5x² + 6x + 9

• x² + 6x + 9

Distributive Property

■ What does this mean?!

■ To distribute means to give something

to each member of a group.

■ Algebra example:
a(b+c)= ab + ac

Multiple Choice

Distribute means to ...

• give something to each member of a group

• take something from each member of a group

• give something to one member in a group

• give something to most the members of the group

Distributive property

3(x + 2) =
Use the Distributive Property:
3(x) + 3(2)=
Now multiply:
3x + 6
This your answer

​You can NOT combine the 3x and the 6

​

Multiple Choice

2 (x + 4)

• 2x + 4

• 2x + 8

• 2x + 6

• 10x

Multiple Choice

6 (x + y + 7)

• 6x + 6y + 42

• 12xy + 42

• 6x + 6y + 7

• 6x6y + 42

Multiple Choice

0.5 (u - 6)

• 0.5u + 6

• 0.5u + 3

• 0.5u - 6

• 0.5u - 3

Multiple Choice

$$\frac{1}{2}(t+8)$$  

• $$\frac{1t}{2t}+\frac{8}{2}$$  

• $$\frac{1}{2}t+8$$  

• $$\frac{1}{2}t+4$$  

• $$\frac{1}{2}t+\frac{8}{16}$$  

Multiple Choice

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Drag and Drop

Complete the equation using The Distributive Property.​ ​

3(2x + 4) = ​ ​

Placeholder

2(3x + 2) = ​

Placeholder

2(x + 1) = ​

Placeholder

Drag these tiles and drop them in the correct blank above

6x + 12

6x + 4

2x + 2

6x + 2

2x + 1

18x

10x

4x

Distributing a negative

■

Multiple Choice

-3 (a + 3)

• 3a - 9

• -3a + 9

• 3a + 9

• -3a - 9

Multiple Choice

(x + 10) (-2)

• -2x + 20

• -2x - 20

• 2x - 20

• 2x + 20

Multiple Choice

-10 (-3x - 5y)

• 30x - 50y

• -30x - 50y

• 80xy

• 30x + 50y

Multiple Choice

$$-\frac{1}{3}\left(y\ -\ 9\right)$$  

• $$\frac{1}{3}y+3$$  

• $$-\frac{1}{3}y+3$$  

• $$-\frac{1}{3}y-3$$  

• $$-\frac{1}{3}y+9$$  

Math Response

Evaluate: 12 + 7(-2h - 3)

for h = -3

Type answer here

Correct Answer: 33

Deg^°

Rad

Multiple Choice

Solve the following

$$-4\left(-\frac{6}{8}\div\frac{1}{2}\right)$$

• 6

• 13

• -6

• -13

Distribute a variable

■

Multiple Choice

x (x - 9)

• $$x^2\ -\ 9$$  

• $$x^2\ -\ 9x$$  

• $$x\ -\ 9x$$  

• $$-9x$$  

Multiple Choice

3x (y + 4)

• 3x3y + 4x

• 3xy + 4x

• 3xy + 12x

• 3x + 3y + 12

Multiple Choice

3x (9 + 2y - 3z)

• 27x + 6xy - 9xz

• 24xyz

• 27 + 6y - 9z

• 27x + 6x - 9x