Algebra I Mid-Term

A school has a concession stand at a basketball game. They sell nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, they made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.50x+0.50y=78.50

  x+y=87

• 1.50x+0.50y=78.50

  1.50x+0.50y=87

• x+y=78.50

  1.50x+0.50y=87

• x+y=78.50

  x+y=87

Determine the slope. 

• -5

• 5

• -1/5

• 1/5

What is the solution of the equation 4t-3(t-2)=t+6?

• -16

• 9

• Infinitely many solutions

• 0

What equation does not have a solution?

• 5(x-3)=2x+7

• 4m-15=m-15

• 3(6-n)= -3(n-8)

Which equation is represented by the graph:

• x+9>24

• x-5<10

Each output of a function is 0.25 greater than the corresponding input. Which equation is a rule for the function?

• y=x+0.25

• y=x-0.25

• y=0.25x

• y=x/0.25

Which ordered pair is a solution to the function, y=2x+5?

• (7,1)

• (0,5)

• (-2,9)

• (0,0)

The relation in the table is a function. Which ordered pair can be included with this relation to form a new relation that is also a function?

• (5,7)

• (-5,5)

• (0,2)

• (2,16)

Which ordered pair is a solution of 4x+4y=18?

• (-2,7)

• (8,2)

• (-3,6)

• None

What is the y-intercept of the line 5x-4y= -12?

• -3

• 3