Linear Systems

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

Using elimination or substitution, what is the solution to the following equations?

y = 2x + 4

x - 2y = -1

• (3, -2)

• (2, -3)

• (-3, -2)

• (-2, 3)

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104

• a + c = 104
  6a + 4c = 21

• a + c = 21
  6c + 4a = 104

• a + c = 104
  6c + 4a = 21

What is the solution?

• (-4, 2)

• (4, 2)

• (2, -4)

• (2, 4)

• A
• B
• C
• D

What system of equations does this graph represent?

• A

• B

• C

• D

What system of equations does this graph represent?

• A

• B

• C

• D

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

What are the solutions to the graphed system?

• (0,-2) and (3,1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)