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Systems of Inequalities Review

Authored by Candice Shinsky

Mathematics

9th Grade

CCSS covered

Used 54+ times

Systems of Inequalities Review
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which system of inequalities represent the graph shown?

x+y≤5x+y\le5
2x−y>42x-y>4

x+y>5x+y>5
2x−y≤42x-y\le4

x+y<5x+y<5
2x−y≥42x-y\ge4

x+y≥5x+y\ge5
2x−y<42x-y<4

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which graph represents the solution of this systems of inequalities?

 x−3y≤−6x-3y\le-6  

 2x+y>62x+y>6  

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSA.REI.D.12

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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≤603x+5y\le60
x+y≥15x+y\ge15

3x+5y≥603x+5y\ge60
x+y≤15x+y\le15

x+y≤60x+y\le60
3x+5y≥153x+5y\ge15

x+y≥60x+y\ge60
3x+5y≤153x+5y\le15

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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=15x=\ 15\ and\ y=15  

 x= 60 and y=60x=\ 60\ and\ y=60  

 x= 20 and y=12x=\ 20\ and\ y=12  

 x= 12 and y=20x=\ 12\ and\ y=20  

Tags

CCSS.HSA.REI.D.12

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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=15x=\ 15\ and\ y=15  

 x= 60 and y=60x=\ 60\ and\ y=60  

 x= 5 and y=3x=\ 5\ and\ y=3  

 x= 3 and y=5x=\ 3\ and\ y=5  

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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?

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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≥1506x+10y\ge150 
 x+y≤20x+y\le20 

 6x+10y≤1506x+10y\le150 
 x+y≥20x+y\ge20 

 x+y≤150x+y\le150 
 6x+10y≥206x+10y\ge20 

 x+y≥150x+y\ge150 
 6x+10y≤206x+10y\le20 

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

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