Linear Unit Review

Which equation represents a line that passes through (2, –1/2) and has a slope of 3?

• y – 2 = 3(x + 1/2)

• y – 3 = 2(x + 1/2)

• y + 1/2 = 3(x – 2)

• y + 1/2 = 2(x – 3)

Alejandra correctly wrote the equation y – 3 = 1/5(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

• y – 6 = 2(x – 10)

• y – 3 = 2(x – 10)

• y – 3 = 1/5(x – 2)

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

• f(x) = 5x + 2.25

• f(x) = 2.25x + 5

• f(x) = 2.25x − 5

Which equation represents the graphed function?

• –3x + 2 = y

• 2x – 3 = y

Which of these values could be the slope of the line?

• -2

• 0

• 3

What is the slope of the line?

• -3

• -1/3

• 1/3

• 3

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

• -4/3

• -3/4

• 3/4

• 4/3

What is the slope of the function?

• -3

• -2

• 3

• 4

What is the rate of change for the function represented in the table?

• $0.67 per book

• $1.07 per book

• $1.50 per book

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

• 2 inches up per foot across

• 3 inches up per foot across

• 1/3 inches up per foot across

• 1/2 inches up per foot across