Distributive Property

Vocab

100

Product

The answer to a multiplication problem

200

Multiplier

The number of equal groups

300

PEMDAS Definition

Please Excuse My Dear Aunt Sally, (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

400

Distributive Property Definition?

The most powerful property in arithmetic

500

FOIL Method

First, Outer, Inner, Last; A method used for multiplying expressions

FOIL

100

Solve: (2x+3) (x+1)

2x^2 + 5x + 3

200

Solve: (3x - 4) (2x - 5)

6X^2 + (-23x) + 20 

300

Solve: (2x - 3) (x^2 +2x - 3)

2x^3 + 1x^2 - 12x + 9

400

Solve: (3x^2 + 2x - 5) (2x^2 + 4x + 3)

6x^4 + 16x^3 + 7x^2 - 14x - 15

500

Solve: (2x - 3) (2x - 3) (2x - 3)

8x^3 - 36x^2 +54x - 27

Distributive

100

What is the Distributive Property?

The Distributive Property says that you multiply the number outside the parentheses by each number inside the parentheses.

200

Solve using the Distributive Property: 2 × (6 + 3)

2×(6+3)=(2×6)+(2×3)=12+6=18

300

How can the Distributive Property help with mental math?

It breaks a hard problem into smaller, easier ones.

400

True or False? Is this the correct way to use Distributive property? 5 × (2 + 4) = (5 × 2) + (5 × 4)

True! This is exactly how the Distributive Property works!
5×(6)=10+20=30

500

Use the Distributive Property to simplify: 

4(x+7)4(x + 7)4(x+7)

4(x+7)=4x+28

Problem Solving

100

Use FOIL to simplify:
(x + 3) (x + 5)

x^2 + 8x + 15

200

Simplify using the Distributive Property:

4 (2x + 7)

8x + 28

300

Solve using PEDMAS

3 + 2^2 × 4

19

400

Simplify using FOIL:

(x − 2) (x + 6)

-12

500

Simplify using Distributive Property:

−3 (2x − 5) -3 (2x - 5) −3 (2x − 5) 

−6x + 15

PEMDAS

100

What is the correct order of operations according to PEMDAS?

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

200

True or False:

In PEMDAS, you always do multiplication before division.**

False!
Multiplication and division are done left to right, whichever comes first.

300

Solve:

6+(4×2)

14

400

True or False: In PEMDAS, you always do addition before subtraction.

False.
Addition and subtraction are done left to right, depending on which comes first.

500

Which of these shows the correct PEMDAS order?**
A) Addition, Subtraction, Multiplication, Division, Parentheses, Exponents
B) Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
C) Parentheses, Multiplication, Exponents, Division, Subtraction, Addition

B) Parentheses, Exponents, Multiplication, Division, Addition, Subtraction