Systems of Equations Using Graphs

• Infinitely Many Solutions
• No Solution

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

• Adult $13
  Child $5

• Adult $10
  Child $6

• Adult $8
  Child $16

• Adult $12
  Child $13

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

• 5q + 2z = 1.32
  1z = 0.75

• 5q + 2z = 1.32
  3q + 1z = 0.75

• q + z = 1.32
  q + z = 0.75

• 5q + 2z = 0.75
  3q + 1z = 1.32

What is the solution of the graph?

•      (4, 2)

•     (0, 6)

•     (0, 3)

•      (2, 4)

Solve the system:

2x+y= -1

-4x+6y=42

Solve the system:

2x+3y=1

-x+y= -3

Which ordered pair is the solution of the system graphed below?

• (2, 0)

• (8, 0)

• (-3, 5)

• (3, 8)

What are the three methods we learned to solve systems of equations?

• invention

• elimination

• distribution

• graphing

• substitution

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

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