Competency Three Recovery

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Multiple Choice

Find the slope of the line. 

• 0
• 1
• undefined 
• -1

Multiple Choice

What is the slope formula?

Multiple Choice

Find the slope of the line that passes through: 
(2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Find the slope of the line that passes through:
(10, 1) and (5, 2)

• 1/5
• -1/5
• 5
• -5

Multiple Choice

What is the slope between the two points?

( 6, 8 ) and ( - 3, 8 )

• 0

• undefined slope

• 8

• 6

Graphing

y = 3x + 4

Graphing

y = -4x - 2

Graphing

$$y\ =\ \frac{3}{2}x\ -\ 1$$

Graphing

$$y\ =\ \frac{-5}{7}x\ +\ 7$$

Multiple Choice

Vertical or horizontal?

x = 4

• vertical

• horizontal

• neither

• both

Multiple Choice

Vertical or horizontal?

y = -3

• vertical

• horizontal

• neither

• both

Multiple Choice

Vertical or horizontal?

y = 2x + 3

• vertical

• horizontal

• neither

• both

Multiple Choice

What is the equation of the line?

• y = 0
• y = 1
• y = 2
• x = 1

Multiple Choice

What is the equation of this line?

• x = 5

• y = 5

• y = 5x

• x = -5

Multiple Choice

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)
• Ax + By = C
• y = mx + b
• y=kx

Multiple Choice

m= 5

(2, 4)

• y - 2= 5(x - 4)

• y - 4= 5(x - 2)

• y- 5 = 4(x - 2)

• y - 2 = 4(x - 5)

Multiple Choice

m= 3

(1, 7)

• y - 7 = 3( x - 1)

• y - 1 = 3( x - 7)

• y - 3 = 3( x - 1)

• y - 1 = 7( x - 3)

Multiple Choice

The line with the equation

$$y+1=-3(x-5)$$ ,

contains the point ​ ​

• $$\left(5,-1\right)$$  

• $$\left(-5,1\right)$$  

• $$\left(5,1\right)$$  

• $$\left(1,5\right)$$  

Multiple Choice

Select the equation represents a line with a slope of 2

that passes through the point $$\left(9,-6\right)$$

• $$y+6=2\left(x-9\right)$$

• $$y-6=2\left(x+9\right)$$

• $$y-6=2\left(x-9\right)$$

• $$y+6=2\left(x+9\right)$$

Multiple Choice

The line with the equation

$$y-2=4(x+8)$$ ,

contains the point ​ ​

• $$\left(-8,2\right)$$  

• $$\left(8,2\right)$$  

• $$\left(8,-2\right)$$  

• $$\left(-2,8\right)$$

Multiple Choice

Graph the line that goes through the point (-2,-4) 

and has a slope of  $$\frac{3}{4}$$ . 

Multiple Choice

Graph the line:  $$y+1=-\frac{1}{3}(x-2)$$  

Multiple Choice

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Multiple Choice

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Multiple Choice

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20
• y = 3 + 20x
• y = -3x + 20
• y = -20x + 3

Multiple Choice

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Multiple Choice

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

• $100

• 4.50

• $112.50

• $65.00

• $123.45

Multiple Choice

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

• y= 40

• y= 400

• y= 415

• y= 65

• y= 390

Multiple Choice

The rental rate at Rent A Wreck is $30 per day plus $0.25 per mile driven.

How much would a 100 mile rental cost?

• $45

• $55

• $23

• $100

Open Ended

You have now completed competency three recovery. The goal here was to gain a better understanding of linear equations with two variables. In a small parapgraph below explain your understanding of a linear relationship between two variables and how this applies to the real-world.