Distributive Property Warm Up

Remember the Distributive property!

What is this property?

The Distributive property

Step 2

Step 1

PROOF. Let's use real numbers.a=2, b=3, and c=4

Multiple Choice

Which of these is the same as $$2\left(14+3\right)$$ ?

• $$\left(2+14\right)\times\left(2+3\right)$$

• $$\left(2\times14\right)\times\left(2\times3\right)$$

• $$\left(2\times14\right)+\left(2\times3\right)$$

• $$\left(2+14\right)+\left(2+3\right)$$

Can become...

Notice how...

This is most helpful when we have a variable!

Multiple Select

How could we rewrite $$8\left(d+2\right)$$

• $$\left(8\times d\right)+\left(8\times2\right)$$

• $$\left(8+d\right)\times\left(8+2\right)$$

• $$8d+2$$

• $$8d+16$$

Match

Match the following to the simplest expression

• $$8\left(x+11\right)$$

• $$2\left(x+5\right)$$

• $$4\left(x+7\right)$$

• $$6\left(x+9\right)$$

• $$10\left(x+13\right)$$

• $$8x+88$$

• $$2x+10$$

• $$4x+28$$

• $$6x+54$$

• $$10x+130$$

Math Response

What is the simplest way to rewrite $$2\left(a+3\right)$$ ?

Type answer here

Correct Answer: 2a+6

Deg^°

Rad