Unit 6 Review!

Definitions

100

What is another word for "Rate of Change"?

"Rate of Change" is also known as slope

200

What is another word for "Initial Value"

"Initial Value" is also known as the y-intercept.

300

What does the "Slope" of a line tell us?

The slope is the steepness of a line.

400

What does the "Initial Value" of a line tell us?

"Initial Value" tell us the y-value of a line when x = 0 

OR

"Initial Value" tells the starting amount of a line.

500

Define what a "Function" is 

A "Function" is an equation that assigns exactly one y-value to exactly one x-value.

What kind of Slope

100

y = 2x + 3

Positive Slope

200

y = -3x + 4

Negative Slope

300

y = 1/2x - 2

Positive Slope

400

y = 5

Zero Slope

500

x = 7

Undefined Slope

Calculate the Slope from two-points

100

(5,7) and (3,5)

m = 1

200

(0,10) and (5,-5)

m = -3

300

(0,0) and (10,0)

m = 0

400

(5,6) and (18,13)

m = 7/13

500

(1,13) and (7,2)

m = -11/6

Construct an Equation given the Slope and a Point

100

Slope: m = 2

Point: (1,3)

y = 2x + 1

200

Slope: m = -3

Point: (2,7)

y = -3x + 13

300

Slope: m = 0

Point: (9,8)

y = 0x + 8 OR y = 8

400

Slope: m = 1/2 

Point: (-2,4)

y = 1/2x + 5

500

Slope: m = -3/4

Point: (8,7)

y = -3/4x + 13

Real-World Questions

100

Alyssa has recently been hired as a babysitter. 

She will earn $20 per hour for babysitting and will be given a $10 tip before starting.

What is the slope and y-intercept of this situation?

Slope: m = $20 per hour

Y-intercept: b = $10

200

Mia started a savings account with $75 and plans on depositing $30 each month.

What is Jaime's initial value and rate of change? 

Initial Value = $30

Rate of Change = $75

300

Ross sells a pack of 10 shirts for $87.50

Target sells a pack of 8 shirts for $68.0 

Which store has a lower price for just one shirt? How much does it cost?

Target has a lower price for one shirt. 

One shirt at Target costs $8.50

400

Mr. Bedolla is going to hire Bob the Builder to build him a house. 

For 1 hour of work, Bob the Builder will charge Mr. Bedolla $125. 

For 2 hours of work, Bob the Builder will charge Mr. Bedolla $200.

For 3 hours of work, Bob the builder will charge Mr. Bedolla $275.

Create an equation in slope-intercept form that represents the information above.

y = 75x + 50

500

Mr. Bedolla decided that he is going to join a painting class. He will first need to pay $50 to begin with for all his material. He will then to pay an additional $35 for every class he attenda. 

If he only has $291, how many classes can he attend?

Mr. Bedolla can only attend 6 classess.