Linear Systems & Matrices Unit Review

• Any point on one of the dashed lines is a solution to the system of inequalities.

• The point where the dashed lines intersect is the solution to the system of inequalities.

• Any point that is in the shaded region for at least one inequality is a solution to the system of inequalities.

• Any point in the region where the shadings overlap is a solution to the system of inequalities.

Tags

CCSS.HSA.REI.D.12

You have started to think about saving money to purchase a car. You know you can earn money by doing yard work or by babysitting your neighbor’s kids. You earn $8 per hour doing yard work and $6 per hour babysitting. You want to earn at least $96 this week. With all of your homework, you know you don’t want to work more than 20 hours in a week. Let x = # hours doing yard work and let y = # of hours babysitting.  Write an inequality to represent the money you want to earn. 

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

You have started to think about saving money to purchase a car. You know you can earn money by doing yard work or by babysitting your neighbor’s kids. You earn $8 per hour doing yard work and $6 per hour babysitting. You want to earn at least $96 this week. With all of your homework, you know you don’t want to work more than 20 hours in a week. Let x = # hours doing yard work and let y = # of hours babysitting.  When you graph the lines for the inequalities you could write for this scenario, what will the lines look like?

• Both lines are dashed.

• Both lines are solid.

• One line is dashed and the other is solid.

Tags

CCSS.HSA.REI.D.12

The graph represents the cost of two security programs.  Fail Safe security program has a $995 installation fee and charges $7.95 per day.  Super Locks charges a $3975 installation fee and charges $6.00 per day.  What are all the values for which Fail Safe is a better option?

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• 5050 people attended the event.

• Adult tickets cost $4 each.

• Ticket sales totaled $2200.

• Four adults purchased tickets.

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CCSS.8.EE.C.8C

• There were 2200 adults at the event.

• There were 1500 adults at the event.

• There were 700 adults at the event.

• There were 5050 adults at the event.

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CCSS.8.EE.C.8C

Tim will start a lawn mowing service.  His expenses will be $400 to purchase a lawnmower and $1.50 per lawn for gas.   His income will be $20 per mowed lawn. The profit equation for this scenario before being simplified would be:

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

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CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

• 0

• 1

• -5

• 5

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CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

• (7 , 12)

• ( 12 , 7)

• ( -1 , 4)

• ( 4 , -1)

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CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B