Systems of Inequalities Review

Which system of inequalities represent the graph shown?

• $x+y\le5$
  $2x-y>4$
  

• $x+y>5$
  $2x-y\le4$
  

• $x+y<5$
  $2x-y\ge4$
  

• $x+y\ge5$
  $2x-y<4$
  

Tags

CCSS.HSA.REI.D.12

Which graph represents the solution of this systems of inequalities?

 $x-3y\le-6$  

 $2x+y>6$  

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Suppose you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Let x = # of hours mowing

Let y = # of hours babysitting

Which system of inequalities represents the scenario?

• $3x+5y\le60$
  $x+y\ge15$

• $3x+5y\ge60$
  $x+y\le15$
  

• $x+y\le60$
  $3x+5y\ge15$
  

• $x+y\ge60$
  $3x+5y\le15$
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Suppose you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Let x = # of hours mowing

Let y = # of hours babysitting

What are the x-intercept and y-intercept of the top inequality?

•  $x=\ 15\ and\ y=15$  
  

•  $x=\ 60\ and\ y=60$  
  

•  $x=\ 20\ and\ y=12$  
  

•  $x=\ 12\ and\ y=20$  
  

Tags

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Suppose you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Let x = # of hours mowing

Let y = # of hours babysitting

What are the x-intercept and y-intercept of the bottom inequality?

•  $x=\ 15\ and\ y=15$  
  

•  $x=\ 60\ and\ y=60$  
  

•  $x=\ 5\ and\ y=3$  
  

•  $x=\ 3\ and\ y=5$  
  

Tags

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Suppose you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Let x = # of hours mowing

Let y = # of hours babysitting

Which graph represents the system of inequalities?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Bobbi can work at most 20 hours next week, but she needs to earn at least $150. Her dog-walking job pays $6 per hour and her job as a car wash attendant pays $10 per hour. 

Let x = # of hours dog-walking

Let y = # of hours at car wash

Which system of inequalities represents the scenario?

•  $6x+10y\ge150$ 
   $x+y\le20$ 

•  $6x+10y\le150$ 
   $x+y\ge20$ 
  

•  $x+y\le150$ 
   $6x+10y\ge20$ 
  

•  $x+y\ge150$ 
   $6x+10y\le20$ 
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Bobbi can work at most 20 hours next week, but she needs to earn at least $150. Her dog-walking job pays $6 per hour and her job as a car wash attendant pays $10 per hour. 

Let x = # of hours dog-walking

Let y = # of hours at car wash

What are the x-intercept and y-intercept of the top inequality?

•  $x=150\ and\ y=150$  

•  $x=20\ and\ y=20$  
  

•  $x=25\ and\ y=15$  
  

•  $x=15\ and\ y=25$  
  

Tags

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Bobbi can work at most 20 hours next week, but she needs to earn at least $150. Her dog-walking job pays $6 per hour and her job as a car wash attendant pays $10 per hour.

Let x = # of hours dog-walking

Let y = # of hours at car wash

What are the x-intercept and y-intercept of the bottom inequality?

•  $x=150\ \ and\ \ y=150$ 

•  $x=20\ \ and\ \ y=20$ 
  

•  $x=3.\overline{3}\ \ and\ \ y=2$ 
  

•  $x=2\ \ and\ \ y=3.\overline{3}\$ 
  

Tags

CCSS.HSA.REI.D.12

For questions 3 - 6, use the following scenario:

Bobbi can work at most 20 hours next week, but she needs to earn at least $150. Her dog-walking job pays $6 per hour and her job as a car wash attendant pays $10 per hour.

Let x = # of hours dog-walking

Let y = # of hours at car wash

Which graph represents the system of inequalities?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12