System of Inequalities Quiz

A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of candy and $7 for each bag of popcorn. The system of inequalities graphed below represents this information.

Which combination of boxes of candy and bags of popcorn could the graph buy?

• 2 boxes of candy and 6 bags of popcorn

• 3 boxes of candy and 4 bags of popcorn

• 5 boxes of candy and 4 bags of popcorn

• 8 boxes of candy and 1 bag of popcorn

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

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CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

• (5, 20)

• (7.5, 12.5)

• (17.5, 5)

• (19, 1)

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

• Leah cannot work 2.5 hours of babysitting and 15 hours at the ice cream shop.

• Leah can work 15 hours of babysitting.

• Leah can work 2.5 hours of babysitting and 15 hours at the ice cream shop.

• Leah cannot work 15 hours at the ice cream shop.

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

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CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Cullin needs to save at least $100 for homecoming.  He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns.  He only has time to work 14 hours before homecoming. 

• x + y  ≥ 25
  x + y ≤ 8
• 100x + 25 y ≤ 100
  2x + 8y ≤ 14
• x + y ≥ 100
  8x + 25y ≤ 14
• 8x + 25y ≥ 100
  x + y ≤ 14

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

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

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CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Which point is a solution to the system of inequalities?

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)

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CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3