Name and Period:______Fall 2017 Final Exam Review

  1. If f is a function of x, where x is the number of wrapped chocolate candies in a large candy bowl, what is a reasonable domain for ?
  1. Circle the table below that represents y as a function of x?

x / y / X / Y / X / Y / X / Y
-2 / 3 / 8 / 2 / -8 / 3 / 9 / -12
8 / 3 / 5 / 3 / 6 / 2 / 3 / 8
2 / 3 / 8 / 7 / -8 / 1 / 9 / 2.5
6 / 3 / -3 / 7 / 6 / 0 / 5 / 4
  1. For the function g, , and . If , what is the value of y when ?
  1. The table represents some points on the graph of a linear function.

X / 1 / 4 / 7 / 10 / 12
Y / 4.5 / 12 / 19.5 / 27 / 32

What is the rate of change of y with respect to x?

  1. The tables below represent values that correspond to a system of equations.

First Equation / Second Equation
-4 / 0 / -5 / 7
-2 / 1 / -4 / 5
6 / 4 / -2 / 1

What is the solution?

  1. How would the linear equation of the above graph be written in standard form?
  1. What is the slope of the line that passes through the points (-3,-3) and (7, -8)?

The graphed inequality is . Write this inequality in standard form.

  1. Cowboys fans can purchase tickets in the lower level or upper level of the AT&T Stadium. The cost for lower deck tickets are $240 each. The cost for upper deck tickets is 80% of the cost of tickets in the lower level. Write an inequality that represents all possible combinations of l, the number of tickets for lower level, and u, the number of tickets for the upper level, that you can buy for no more than $3500.
  1. Two functions are given below.

How does the graph of g compare to the graph of h?

  1. The graph of g is steeper than the graph of h.
  2. is parallel to .
  3. is steeper than graph .
  4. The graph of g has a different y-intercept than the graph of h.
  1. Which of these best represents the graph of the solution set to the inequality ?

  1. The function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to and y-intercept to . Which statement about the relationship between these two graphs is true?
  2. The graph of the new line is less steep than the original line, and the y-intercept has been translated up.
  3. The graph of the new line is steeper than the original line, and the y-intercept has been translated down.
  4. The graph of the new line is less steep than the original line, and the y-intercept has been translated down.
  5. The graph of the new line is steeper than the original line, and the y-intercept has been translated up.
  6. Members of a senior class held a car wash to raise funds for their senior prom. They charged $3 to wash a car and $5 to wash a pick-up truck or a sport utility vehicle. If they earned a total of $275 by washing a total of 75 vehicles, how many cars did they wash?
  1. The total cost for buying notebooks for an algebra class online can be found using the following function where n is the number of notebooks bought. If there are at least 18 students but no more than 30 students in the class, what is the domain of this function? What is the range?
  1. A graph is shown below. Which of the following equations are represented by the graph?
  1. The following is a graph of a function. What is the domain? What is the range? What is the y-intercept?
  1. A screen print company has a monthly budget of x dollars. Every month, $3,756 is spent on paying employees. One-third of the remaining budget is spent on monthly leisure items for employees. Which function can be used to find the amount in dollars spent on leisure items monthly?
  1. Katie orders tacos and enchiladas for lunch. Each taco costs $2.80 and each enchilada costs $2.95. She ordered a total of 5 items and spent $14.15. How many enchiladas did she order?
  1. The graph below shows the relationship between the balance of the cost of braces and payments made. What does the x-intercept mean?
  1. What is the solution to the following system of equations?
  1. What is the solution to ? Round to the nearest 100th.

What is the system of equations that can be used to best represent this graph?

  1. What is the value of x in the equation below?
  1. Roses Are Red’s prices for roses varies directly with the number of roses purchased. Thirteen roses cost . How much will it be for 30 roses?
  1. The graph of an exponential function is presented. What is true about its domain and range?