Pre-Algebra, Unit 4B Practice Test: Comparing Functions;

Linear & Nonlinear Functions

Name:

Date:

  1. a) What does the m in represent? Explain its meaning.

b) What does the b in represent? Explain its meaning.

(SE F2)Use the given information to answer the following questions 2 and 3.

Function 2: + 5

Function 3:

Pre-Algebra Practice TestUnit 4B: Comparing Functions; Linear & Nonlinear FunctionsPage 1 of 5

Revised 2014 - NVACS

  1. What is the y-intercept for Function 1?
  1. Which function has a greater rate of change?
  1. Function 1
  1. Function 2
  2. Function 3
  3. All are the same

Pre-Algebra Practice TestUnit 4B: Comparing Functions; Linear & Nonlinear FunctionsPage 1 of 5

Revised 2014 - NVACS

  1. (SBAC F2) Which table of values can be represented by the function ?
A.B. C.D.
  1. (SBAC F2) A small swimming pool has 42 gallons of water in it. To fill it, water is added at a rate of 6 gallons per second. Select the equation that models the relationship between the amount of water (W), in gallons, in the swimming pool after the amount of time (t) seconds.
  1. (SBAC F2) The table and equation shown each represent a different linear function.

x / y
-3 / 0
0 / 6
3 / 12
6 / 18


What is the difference between the rates of change for these two functions?

  1. (SBAC F2) The table shows the relationship between the monthly cell phone cost for Plan A and the number of minutes used within a month.

Cell Phone Cost for Plan A
Time (min) / Cost (dollars)
0 / 30.00
2 / 30.20
4 / 30.40

The following equation shows the relationship between the monthly cell phone cost (c)in dollarsfor Plan B and the number of minutes used with a month (m).

The flat rate is defined as the monthly cost for the phone when zero minutes are used. What is the difference, in dollars, between the flat rate for Plan B and the flat rate for Plan A?

  1. (SBAC F2) Mark and Marcia wrote own two different functions that have the same rate of change. Mark’s function is represented by the table shown.

x / y
-2 / -5
0 / 1
2 / 7

Graph a function that could be Marcia’s function.

  1. (SBAC F2) Consider this graph of a line.
  1. (SBAC F3) The graph shown represents a linear function.

Select the equation represented by the graph.

  1. (SE F3) Which graph below represents a linear function?
  1. (SBAC F3) Determine whether each function is linear or nonlinear. Put an X in the correct column.

Function / Linear / Nonlinear
x / y
-2 / 3
-1 / 8
0 / 13
1 / 18
  1. What type of function is ? Explain.

  1. The function is linear because it can be written in the form :

  1. The function is linear because it can be written in the form :

  1. The function is NOT linear because it is not written in the form

  1. The function is NOT linear because it is written in the form

  1. (SE F3) Which of the following representations are linear functions?

III.

  1. I only
  1. II only
  2. II and III
  3. I and III

Pre-Algebra Practice TestUnit 4B: Comparing Functions; Linear & Nonlinear FunctionsPage 1 of 5

Revised 2014 - NVACS