Linear Functions Warmup

Find the slope of the line.

• -2

• 2

• -1

• 1

Answer explanation

The slope of a line is calculated as the change in y over the change in x (rise/run). A slope of -1 indicates that for every unit increase in x, y decreases by 1. Thus, the correct answer is -1.

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Answer explanation

The slope of a line is defined as the change in y over the change in x. A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes. Therefore, the correct answer is 0.

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Answer explanation

The slope of a line is undefined when it is vertical. This means the line does not run horizontally at all, resulting in no change in the x-direction while the y-value changes. Therefore, the correct answer is 'Undefined'.

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Answer explanation

The rate of change is determined by the slope of a linear function. Here, the slope is 2, indicating a constant rate of change. Therefore, the correct answer is 2.

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Answer explanation

The rate of change is calculated as the change in gallons over the change in time. Here, it is -2 gallons per minute, indicating a decrease in gallons over time, making -2 gallons per minute the correct choice.

Use the graph to calculate the rate of change.

• 1

• -1

• 2

• -2

Answer explanation

The rate of change is calculated as the change in y divided by the change in x. From the graph, if y increases by 1 when x increases by 1, the rate of change is 1, making the correct answer 1.

What is the y-intercept of this graph?

• (0,1)

• (0,-2)

• (0,0)

• (0,3)

Solve for x:
6(2x + 1) = 18

• 3

• 17/12

• 1

• 2

Solve for x:
12 = 20x - 18

• 1

• -2

• -1

• 2

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500