Mrs. Endrick Distributive Property Lesson

Distributive Property

Equivalent expressions are expressions that have the same value, even though they make look different.

Properties of numbers allow us to rewrite or simplify expressions without changing the value of the expressions.

Poll

If two expressions are equivalent, it means that they have equal value. Which of the following is not an example of equivalent expressions?

• 5 - 3 and 5 + (-3)

• 2 + 3 and 2 - (-3)

• 3(2 + 5 ) and 6 + 15

• They are all examples of equivalent expressions.

Each expression is made up of terms and operators. Types of terms include constants, variables, and coefficients.

Poll

If there is no coefficient in front of a variable, the coefficient is assumed to be ________?

• 0

• 1

• I don't remember

The distributive property says we get the same answer if take the sum of two or more numbers in parentheses and multiply by a number as we do if we multiply each number separately and then add the products together.

We use the distributive property when we do mental math! (eg. 4 * 23 = 4*20 + 4 *3).

Poll

How many items would you have if you ordered three of Meal 2?

3(2b + 2f + 2d)

• 3b + 3f + 3d

• 2b + 2f + 2d

• 6b + 6f + 6d

• 5b + 5f + 5d

Poll

How many items would you have if you ordered four of Meal 3?

4(4b + 2f)

• 16b + 8f

• 8b + 6f

• 8b + 6f

• 16b + 6f

Poll

5(4 - x)

• 20 + 5x

• 9 - 5x

• 20 - 4x

• 20 - 5x

Poll

-2(x - 3)

• -2x - 5

• -2x + 6

• 2x - 5

• -2x - 6