Systems of Equations Graphing Method

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Solve the following system by graphing.  What is the solution?

• (3, -1)
• (-1, -3)
• (-1, -1)
• (-1, 3)

Tags

CCSS.8.EE.C.8B

John and Vicki are training for a 5km race.  John has already run 20 kilometers and plans to run 10 kilometers each day.  Vicki has already run 30 kilometers but plans to run only 5 kilometers per day. The graph below displays each of their training schedules. Which system of equations could be used to determine by which day both John and Vicki will have run the same amount in their training schedule?

• John: y = 20x + 10    Vicki: y = 30x + 5
• John: y = 10x + 20    Vicki: y = 30x + 5
• John: y = -10x + 20  Vicki: y = 5x + 30
• John: y = 10x + 20  Vicki: y = 5x + 30

Tags

CCSS.8.EE.C.8C

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30

Tags

CCSS.8.EE.C.8C

The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000, where x is the number of rides. They charge $35 per ride. How many rides are needed to break even?

• Approximately 57
• 133.333
• 100
• 40

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

Write the equation for cost and income.

• Cost: y = 1.50x + 2700

  Income: y = 15x

• Cost: y = 150 + 2700

  Income: y = 1.50x

• Cost: y = 1.50x + 2700

  Income: y = 15

• Cost: y = 2700

  Income: y = 15x + 1.50

Tags

CCSS.8.EE.C.8C

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

How many hair cuts until they breakeven?

• 200 hair cuts

• 22 hair cuts

• 2700 hair cuts

• 15

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

^{What is the solution?} 

• (1,1)
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8B

The solution to the system is

• (-2, -8)
• (-8, -2)
• (2, -8)
• No solution

Tags

CCSS.8.EE.C.8B

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Tags

CCSS.8.EE.C.8A