Systems of Inequalities Review

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CCSS.HSA.REI.D.12

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CCSS.HSA.REI.D.12

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CCSS.HSA.REI.D.12

Write a system of inequalities to match the graph.

• $y<2x-1$
  $y<6$
  $x\ge-5$
  

• $y>2x-1$
  $y<6$
  $x\ge-5$
  

• $y>2x-1$
  $y\le6$
  $x\ge-5$
  

• $y\ge2x-1$
  $y<6$
  $x\ge-5$
  

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CCSS.HSA.REI.D.12

Write a system of inequalities to match the graph.

• $y\le\frac{1}{2}x+5$
  $x>-1$
  

• $y\ge\frac{1}{2}x+5$
  $x>-1$
  

• $y<\frac{1}{2}x+5$
  $x\ge-1$
  

• $y\le\frac{1}{2}x+5$
  $x<-1$
  

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CCSS.HSA.REI.D.12

The tickets for a school play cost $8 for adults and $5 for students. The auditorium can hold at most 525 people. The organizers of the school play must make at least $3,000 to cover costs of the set construction, costumes, and programs.

Write a system of linear inequalities for the number of each ticket sold. Let a represent the number of adults and s represent the number of students.

• $8a+5s\le3000$
  $a+s\le525$
  

• $8a+5s\ge525$
  $a+s<3000$
  

• $8a+5s>525$
  $a+s\le3000$
  

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  $8a+5s\ge3000$
  $a+s\le525$
  

Which of the following systems of equations is represented by this graph?

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CCSS.HSA.REI.D.12

• $1200+150x\ge y$

• $1200+150x\le y$

• $1200-150x\ge y$

• $1200-150x\le y$

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

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CCSS.HSA.REI.D.12

Which point is not a solution?

• (1, 3)
• (-1, 2)
• (3, -2)
• (5, 0)

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CCSS.HSA.REI.D.12