Solving Systems of Linear Inequality

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

• (0, 0)
• (1, 0)
• (1, 2)
• (2, 1)

Tags

CCSS.HSA.REI.C.7

Which system of inequality 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 + 4

Tags

CCSS.HSA.REI.D.12

Which of the systems below produces this graph?

• y > -4/5x - 1 and y ≤ 2/3x + 3
• y ≥ -3/4x - 1 and y ≤ 1/2x + 3
• y < -3/4x - 1 and y < 1/2x + 3
• y < -4/5x - 1 and y ≥ 2/3x + 3

Tags

CCSS.HSA.REI.D.12

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

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

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

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes
• No