REVIEW TIME!

Distributive Property

100

Name the property used when we multiply the number on the outside of the parenthesis by everything on the inside of the parenthesis. 

Distributive property

200

What is the next step? 

2(3x + 5)

2(3x) + 2(5)

300

2(5 - 3)

4

400

3(5x - 2)

15x - 6

500

3(2x - 3) + 5

6x - 4

Simplifying Expressions

100

We can add x and 3x together because they are

Like terms

200

-3x + 5x

2x

300

5x + 7 - 3x - 3

2x + 4

400

3(2 + 1) = 3(2) + 3(1) This is an example of what property in algebra?

Distributive Property

500

10 - 3(2x + 2)

4 - 6x

Error Analysis

100

Showing your work is important because it helps us to catch our _____________

Mistakes

200

 -4(x + 3) 

Step 1: -4(x) + 4(3) 

Step 2: -4x + 12 

Where did Joey make a mistake?

The mistake is in Step 1. They forgot to distribute the NEGATIVE. Should be: -4(x) + (-4)(3)

300

 4x - 3(x+5) = 43 

Step 1: 4x + 3x + 15 = 43

 Step 2: 7x + 15= 43 

Step 3: 7x = 28 

Step 4: x = 4 

What is the first incorrect step?

Step 1, forgot the NEGATIVE sign in front of the 3 when using Distributive Property

400

15x – 9 = 2x – 5x + 15 

Step 1: 15x – 9 = -3x + 15 

Step 2: 12x – 9 = 15 

Step 3: 12x = 24 

Step 4: x = 2 

What is the first incorrect step?

Step 2, you need to add 3x, not subtract.

500

5y + 5 = y + 7y – 8 

Step 1 5y + 5 = 8y – 8 

Step 2: -3y + 5 = -8 

Step 3: -3y = 3 

Step 4: y = -1 

What is the first incorrect step?

Step 3, -8 minus 5 is -13, not 3.

Multi-Step Equations

100

When we are solving for the variable, we are _________ the variable.

Isolating

200

3x + 2 = 11

x = 3

300

7 + 2x = 21

x = 7

400

2(x + 2) = 12

x = 4

500

3x + 2 = x + 12

x = 5

Slope

100

Slope is defined as RISE over RUN. What does this mean? 

The vertical change (change in Y values) over the horizontal change (change in x values).

200

Find the slope of the points: 

(3, -5) and (4, -2)

3

300

What is the slope of a horizontal line?

Zero 

400

What is the slope of a vertical line?

UNDEFINED!

500

On a graph, if I count DOWN 3 units, and RIGHT 2 units. What is my slope?

-3/2