Systems Inequalities

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.REI.D.12

Select the correct graph for each inequality.

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.12

Is (0,0) a solution to the system?

• Solution
• Not a solution

Tags

CCSS.HSA.REI.D.12

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 3
• y > 3x   and  y < -2x + 4

Tags

CCSS.HSA.REI.D.12

Which of the following is not a solution to this system of inequalities?

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Tags

CCSS.HSA.REI.D.12

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)

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

Which point below is NOT part of the solution set?

• (0, 0)
• (5, 1)
• (-1, -3)
• (20, -5)

Tags

CCSS.HSA.REI.D.12

Write the system of inequalities

Carlos works at a movie theater selling tickets. The theater has a maximum of 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