Linear Relationships (TWMM) Unit Test

What is the slope (rate) in the graph?

• 0.75

• 1.25

• -0.75

• -1.25

An auto mechanic charges $50 to diagnose a problem and $25 per hour to repair the problem. If x represents the total number of hours worked and y represents the total charges, which equation represents this situation?

• y = 25x +50

• y = 50x +25

• y = 50x - 25

• y = 25x - 50

The table of values represents a linear function and shows the amount of snow that has fallen since a snowstorm began. What is the rate of change?  Hint:   $\frac{\Delta y}{\Delta x}$  

• 1.2 inches per hour

• 2.4 inches per hour

• 3.3 inches per hour

• 5.7 inches per hour

Rachel drew the two graphs. Rachel says that Graph R has a greater slope than Graph S. Which statement explains whether Rachel is correct?

• Rachel is correct; Graph S is nonproportional.

• Rachel is correct; Graph R goes farther along the x-axis

• Rachel is not correct; both graphs go through the origin

• Rachel is not correct; Graph S is steeper than Graph R

What is the slope and the y-intercept of the line that is graphed? Hint: Slope =  $\frac{\Delta y}{\Delta x}$  

• Slope = 1; Y-Intercept = 3

• Slope = 1; Y-Intercept = -3

• Slope = -1; Y-Intercept = 3

• Slope = -1; Y-Intercept = -3

Which point on the graph represents the y-intercept?

• V

• W

• Y

• Z

Mrs. Jacobson asked her students to write a word problem that describes the graph.

• Jamie has $8, and she pays $2 per day to ride the bus.

• Melinda has $4 and earns $2 allowance per day doing chores

• Carrina has $8, and she earns $2 per day babysitting.

• Louise has $4, and she pays $2 per day for school lunch.

Which linear equation has a slope of 3 and a y-intercept of -2?

• y = 3x + 2

• y = 3x - 2

• y = -2x + 3

• y = -2x - 3

Frank is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the y-intercept represented in this situation?

• 15 gallons

• 30 gallons

• 45 gallons

• 60 gallons

The table of values shows the amount of money in Juanita's savings account since she began her part-time job. What is her monthly rate of savings? Hint: $\frac{\Delta y}{\Delta x}$  

• $12 per month

• $18 per month

• $24 per month

• $36 per month