Algebra Unit Review

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. In this situation, what information would the inverse function give us?

• The number of visits

• How many gym visits if we know the monthly cost

• The cost of a membership

• The monthly cost if we know the gym visits

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the inverse function.

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(8) and explain what it means in this situation.

• $54; it means that 8 visits cost $54.

• $75; it means that 8 visits will cost $75.

• 8 visits will cost $62.

• 8 visits will cost $82.

The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas.

If the car has gone 170 miles, how much gas was used?

• 3.5 gallons

• 4.25 gallons

• 4 gallons

• 6.5 gallons

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

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

Select the correct graph for each inequality.

• A

• B

• C

• _D

Select the correct graph for each inequality.

• A

• B

• C

• D

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Write an inequality for the following statement.
n is less than 9

• n < 9

• n > 9

• n ≤ 9

• n ≥ 9