C957 Applied Algebra OA Practice Test – 400
Questions & Answers Comprehensive Practice
Test for Objective Assessment | WGU | 2026-
2027 Edition
This comprehensive test bank contains 400 verified questions and answers for
the WGU C957 Applied Algebra Objective Assessment (OA). The questions cover
all key domains including meanings of functions, linear functions, polynomial
functions, exponential functions, logistic functions, graphical depictions, and
validity of models . Each question includes a detailed rationale to reinforce
learning.
Content Area Overview
Unit Topic Questions
Unit 1 Meanings of Functions 1-50
Unit 2 Linear Functions 51-120
Unit 3 Polynomial Functions 121-180
Unit 4 Exponential Functions 181-250
Unit 5 Logistic Functions 251-300
Unit 6 Graphical Depictions 301-350
,Unit Topic Questions
Unit 7 Validity of Models 351-400
UNIT 1: MEANINGS OF FUNCTIONS (Questions 1-50)
Question 1: Given the function f(x) = 4x - 7, find f(5).
Correct Answer: 13
Rationale: f(5) = 4(5) - 7 = 20 - 7 = 13
Question 2: If g(x) = x² + 3x - 10, find g(-2).
Correct Answer: -12
Rationale: g(-2) = (-2)² + 3(-2) - 10 = 4 - 6 - 10 = -12
Question 3: The number of years someone regularly deposits money in a savings
account is related to the amount of money in the account. (True/False)
Correct Answer: True
Rationale: The number of years (input) is an independent variable that affects the
amount of money (output) .
Question 4: Which choice is a variable?
A) The number of states in the United States of America
B) The cost of your daily newspaper
C) The amount a teenager makes babysitting
D) Your shoe size
Correct Answer: C) The amount a teenager makes babysitting
,Rationale: A variable is something that can change. Babysitting earnings vary,
unlike fixed quantities like the number of states .
Question 5: Which variable is a qualitative variable?
A) Your bank account number
B) Your shirt color
C) Your salary
D) Your child's name
Correct Answer: B) Your shirt color
Rationale: Shirt color is a non-numerical, categorical variable, making it
qualitative .
Question 6: Which variable is related to the variable temperature?
A) Pen sales
B) Computer sales
C) Hot chocolate sales
D) Book sales
Correct Answer: C) Hot chocolate sales
Rationale: Temperature affects hot chocolate sales inversely—colder weather
increases hot chocolate demand .
Question 7: Which of these would most likely be an independent and dependent
variable pair?
A) Finishing times for a marathon and the price of milk
B) Number of package deliveries and number of people with blonde hair
C) Amount of rainfall and crop yield
D) House sales and food sales
Correct Answer: C) Amount of rainfall and crop yield
, Rationale: Rainfall is the independent variable that affects crop yield, the
dependent variable .
Question 8: The table shows the number of employees at a company over time:
Year 2018 2019 2020 2021 2022
Employees 50 56 62 68 74
What is the rate of change per year?
Correct Answer: 6 employees per year
Rationale: Rate of change = (74 - 50)/4 = 24/4 = 6 employees per year .
Question 9: For the data in Question 8, write a linear function E(t) where t is years
since 2018.
Correct Answer: E(t) = 6t + 50
Rationale: The initial value is 50 employees, and the rate of change is 6
employees per year .
Question 10: What is the domain of a function?
A) The set of all output values produced by the function
B) The set of all input values for which the function is defined
C) The set of all points on the graph
D) The set of all real numbers
Correct Answer: B) The set of all input values for which the function is defined
Rationale: Domain refers to all valid x-values that produce a defined output .
Question 11: What is the range of a function?
Questions & Answers Comprehensive Practice
Test for Objective Assessment | WGU | 2026-
2027 Edition
This comprehensive test bank contains 400 verified questions and answers for
the WGU C957 Applied Algebra Objective Assessment (OA). The questions cover
all key domains including meanings of functions, linear functions, polynomial
functions, exponential functions, logistic functions, graphical depictions, and
validity of models . Each question includes a detailed rationale to reinforce
learning.
Content Area Overview
Unit Topic Questions
Unit 1 Meanings of Functions 1-50
Unit 2 Linear Functions 51-120
Unit 3 Polynomial Functions 121-180
Unit 4 Exponential Functions 181-250
Unit 5 Logistic Functions 251-300
Unit 6 Graphical Depictions 301-350
,Unit Topic Questions
Unit 7 Validity of Models 351-400
UNIT 1: MEANINGS OF FUNCTIONS (Questions 1-50)
Question 1: Given the function f(x) = 4x - 7, find f(5).
Correct Answer: 13
Rationale: f(5) = 4(5) - 7 = 20 - 7 = 13
Question 2: If g(x) = x² + 3x - 10, find g(-2).
Correct Answer: -12
Rationale: g(-2) = (-2)² + 3(-2) - 10 = 4 - 6 - 10 = -12
Question 3: The number of years someone regularly deposits money in a savings
account is related to the amount of money in the account. (True/False)
Correct Answer: True
Rationale: The number of years (input) is an independent variable that affects the
amount of money (output) .
Question 4: Which choice is a variable?
A) The number of states in the United States of America
B) The cost of your daily newspaper
C) The amount a teenager makes babysitting
D) Your shoe size
Correct Answer: C) The amount a teenager makes babysitting
,Rationale: A variable is something that can change. Babysitting earnings vary,
unlike fixed quantities like the number of states .
Question 5: Which variable is a qualitative variable?
A) Your bank account number
B) Your shirt color
C) Your salary
D) Your child's name
Correct Answer: B) Your shirt color
Rationale: Shirt color is a non-numerical, categorical variable, making it
qualitative .
Question 6: Which variable is related to the variable temperature?
A) Pen sales
B) Computer sales
C) Hot chocolate sales
D) Book sales
Correct Answer: C) Hot chocolate sales
Rationale: Temperature affects hot chocolate sales inversely—colder weather
increases hot chocolate demand .
Question 7: Which of these would most likely be an independent and dependent
variable pair?
A) Finishing times for a marathon and the price of milk
B) Number of package deliveries and number of people with blonde hair
C) Amount of rainfall and crop yield
D) House sales and food sales
Correct Answer: C) Amount of rainfall and crop yield
, Rationale: Rainfall is the independent variable that affects crop yield, the
dependent variable .
Question 8: The table shows the number of employees at a company over time:
Year 2018 2019 2020 2021 2022
Employees 50 56 62 68 74
What is the rate of change per year?
Correct Answer: 6 employees per year
Rationale: Rate of change = (74 - 50)/4 = 24/4 = 6 employees per year .
Question 9: For the data in Question 8, write a linear function E(t) where t is years
since 2018.
Correct Answer: E(t) = 6t + 50
Rationale: The initial value is 50 employees, and the rate of change is 6
employees per year .
Question 10: What is the domain of a function?
A) The set of all output values produced by the function
B) The set of all input values for which the function is defined
C) The set of all points on the graph
D) The set of all real numbers
Correct Answer: B) The set of all input values for which the function is defined
Rationale: Domain refers to all valid x-values that produce a defined output .
Question 11: What is the range of a function?
