Unit 3 Mid Review

Given the graph of f(x) = -|x - 1| + 2, what are the solutions to

1 = -|x - 1| + 2?

• x = -1 or x = 1
• x = 1 or x = 3
• x = 2 or x = 4
• x = 0 or x = 2

Which set of graphs could you use to solve the equation?

• 
• 
• 
• 

Here are both graphs. At what point do these two lines cross?

• (3,4)

• (4,3)

• (-3,4)

• (-4,3)

• (3,-4)

Use any method to solve the system of equations:
2x - y = 7
3x + y = -2

• (1, -5)

• (-1, 5)

• (1, 5)

• (-1, -5)

Use any method to solve the system of equations:
3x + y = –14
–2x – y = 9

• (-5, 1)

• (5, -1)

• (-5, 4)

• (-1, 4)

• (6,10) and (3,7)

• (-3,5) and (5,1)

• (10,6) and (7,3)

• (5,1) and (5,-3)

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

John is running a food stall at a basketball game. He sells burgers and drinks. Burgers cost $2.00 each and drinks cost $1.00 each. At the end of the game, John made a total of $100.00 and sold a total of 70 burgers and drinks combined. Which system of equations represents this situation?

• 2x+y=100
  x+y=70

• 2x+y=100
  2x+y=70

• x+y=100
  2x+y=70

• x+y=100
  x+y=70

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. 

• 35 nachos, 52 sodas
• 18 nachos, 69 sodas
• 52 nachos, 35 sodas
• 61 nachos, 26 sodas