Graphing Linear Inequalities on a Coordinate Plane

What is the name of the institution where Carson and Peter are studying?

• Modern Tech School

• Institute of Advanced Studies

• Tech University

• Shmoop Institute of Technology

Why did Carson and Peter decide to use a math problem to solve their room division issue?

• No other methods were available

• It was a school assignment

• They like math

• To make it fair

What equation did Carson and Peter use to divide their room?

• y = -2x + 1

• y = 2x + 1

• y = 2x - 1

• y = x - 1

How many pairs of coordinates did they write on pieces of paper?

• 8 pairs

• 5 pairs

• 10 pairs

• 6 pairs

What type of line is used to represent the inequality y > 2x - 1?

• Solid line

• Double line

• Dotted line

• Dashed line

What does the slope of 2 in the equation y = 2x - 1 indicate?

• Rise 1 unit for every 2 units run to the right

• Rise 2 units for every 1 unit run to the right

• Fall 1 unit for every 2 units run to the right

• Fall 2 units for every 1 unit run to the right

What coordinate did Carson pull out from the hat?

• (0,-1)

• (0,1)

• (1,0)

• (-1,0)

Does the coordinate (-1,0) satisfy the condition y > 2x - 1?

• Yes

• No

• Irrelevant to the condition

• Insufficient information

What was the y-value when substituting x = -1 into the equation?

• -1

• 1

• 3

• -3