Solving Systems of Inequalities

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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

• Yes
• No

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which system of inequalities matches the graph?

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

Tags

CCSS.HSA.REI.D.12

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

Write the inequalities

• y≥-2x+3
  y≤x-3
• y>2x+3
  y≥x-3
• y>-2x+3
  y≥x-3
• y<-2x+3
  y≤x-3

Tags

CCSS.HSA.REI.D.12

Write the inequalities

• x≤-2
  y≤x-3
• y≤-2
  y≤x-3
• x≥-2
  y≤x-3
• y≥-2
  y≤x-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 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.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

An inequality using a ≤ or a ≥ has a ___________ line

• invisible
• solid
• dotted

Tags

CCSS.6.EE.B.8

An inequality using a > or a < has a ___________ line

• invisible
• solid
• dotted

Tags

CCSS.6.EE.B.8