Systems of Inequalities

Which ordered pair is a solution to the system of equations:
y > 4x - 3
y ≥ -2x + 3

• (0, 0)
• (1, 0)
• (1, 2)
• (2, 1)

Cullin needs to save at least $100 for homecoming.  He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns.  He only has time to work 14 hours before homecoming. 

• x + y  ≥ 25
  x + y ≤ 8
• 100x + 25 y ≤ 100
  2x + 8y ≤ 14
• x + y ≥ 100
  8x + 25y ≤ 14
• 8x + 25y ≥ 100
  x + y ≤ 14

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4

• (0, 0)
• (2, 1)
• (2, 2)
• (-1, 1)

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000
• x+y<300
  7.5x+5.5y≥2000
• x+y≤300
  7.5x+5.5y≤2000
• x+y>2000
  7.5x+5.5y≤300

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

What is the boundary line (symbol) of the graph?

• less than
• less than or equal to 
• greater than 
• greater than or equal to 

The graph of 
y ≥  x - 3 
is shaded ???

• Over / Above
• Under / Below