Unit 3 Systems Review QUIZ

• A

• B

• C

• D

• A

• B

• C

• D

Solve the system of equations: 

• ( -1, 6, 1)
• ( 1, 6, -1)
• None of these
• ( -6, -1, 1)

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12

  Child: $8

  Senior: $8

• Adult: $6

  Child: $4

  Senior: $5

• Adult: $7

  Child: $5

  Senior: $4

• None of the above.

What is a solution to a system of linear equations?

• The point where both lines intersect

• The point where the y-axis and x-axis meet

• An ordered pair that both lines share

• A salt dissolved in water

What would the solution be to this system of linear equations?

• (0,-1.5)

• (1, -3)

• (5,0)

• (0,0)

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)
• (2, 3, 1)
• None of these
• (4, 1, -1)

Sam has a total of 17 bikes, unicycles, and skateboards. A bike has 2 wheels, a skateboard has 4 wheels, a unicycle has one wheel and she has a total of 42 wheels. There are just as many bikes as unicycles and skateboards together. Which system models this scenario?

• B + U + S = 42

  2B + U + 4S = 17

  B = U + S

• B + U + S = 17

  2B + U + 4S = 42

  B = U + S

• B + U + S = 17

  2B + U + 4S = 42

  B = U*S

Uncle Freddy rented a total of 12 movies and games. A movie rents for $3 and a game rents for $4.50, for a total of $42. There are 3 times as many movies than games. Which system models this scenario?

• 3M + 4.50G = 42

  M + G = 12

  M = 3G

• 3M + 4.50G = 12

  M + G = 42

  3M = G

• M + G = 12

  4.50M + 3G = 42

  3M = G

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table