Linear Inequalities Word Problems and Graphs

Write the linear inequality in standard form for this situation: Ms. Mallory is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Write the linear inequality in standard form for this situation: The New Kent High School science department can spend no more than $2700 on textbooks next year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

Which inequality matches the picture shown?

• y < -1/2 x + 5

• y < -1/2 x + 5

• y > -1/2 x + 5

• y > -1/2 x + 5

Select the correct graph for each inequality.

• A

• B

• C

• D

Which of the following inequalities matches the graph?

• y > 2x - 2

• y < 2x - 2

• y ≥ 2x - 2

• y ≤ 2x - 2

Which of the following inequalities matches the graph?

• y ≤ 3/4x + 5

• y ≥ 3/4x + 5

• y < 3/4x + 5

• y > 3/4x + 5

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, 20)

• (3, 5)

• (0, -2)

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3