WGU C957 APPLIED ALGEBRA
COMPLETE 2026 BUNDLE |
PRE-ASSESSMENT + OA
LATEST MOCK PRACTICE SET
144 Questions with Answers and Detailed Rationales
100 PERCENT GUARANTEED PASS
INSTANT DOWNLOAD ANSWERS INCLUDED
IMPORTANCE OF THIS DOCUMENT
This comprehensive examination preparation guide has been meticulously developed to help you succeed in the
WGU C957 APPLIED ALGEBRA COMPLETE 2026 BUNDLE | PRE-ASSESSMENT + OA PRACTICE EXAM | ,
CORRECT ANSWERS, RATIONALES, GRAPHS & FORMULA SHEET.. It contains 144 carefully selected
questions that reflect the most current exam content and testing strategies. Each question is accompanied by a
correct answer and a detailed rationale that explains the underlying pathophysiology, pharmacology, or clinical
reasoning.
Self-Assessment – Test your knowledge and Exam Preparation – Familiarize yourself with the
identify areas requiring further question format and content
study areas
Concept Reinforcement – Deepen your Confidence Building – Develop test-taking
understanding through strategies and reduce
evidence-based exam anxiety
rationales
Time Management – Practice answering
questions under simulated
exam conditions
Review Summary 144 Questions
Foundations - Application - WGU C957 Applied Algebra Complete 2026 Bundle Pre-assessment OA
Correct Rationales Graphs & Formula Sheet Applied Algebra Undergraduate YEAR 2-3 / Graduate
All answers with rationales
,Table of Contents
Content Area Questions Key Topics
Functions AND Their Graphs 1-24 Value, Function, Linear, Standard Deviation, Population
Linear Functions AND 25-48 Problem, Linear, Matrix, Programming, Feasible
Models
Quadratic Functions AND 49-72 Linear, Profit, System, Revenue, Transformation
Models
Polynomial AND Rational 73-96 Value, Problem, Units, Duration, Number
Functions
Exponential AND 97-120 System, Profit, Function, Population, Years
Logarithmic Functions
Systems OF Equations AND 121-144 Linear, Matrix, System, Standard Deviation, Value
Inequalities
TOTAL 144 All questions include answers and detailed rationales
,Section A - Functions AND Their Graphs
Q1.
A company produces custom furniture. The fixed cost is $12,000, and the variable cost per
unit is $45. The revenue per unit is $95. What is the break-even point in units, and what is
the profit if 500 units are sold?
A. 240 units; $13,000 profit B. 240 units; $13,000 profit
C. 240 units; $13,000 profit D. 240 units; $13,000 profit
Correct: A - 240 units; $13,000 profit
Rationale:Break-even: 12000/(95-45)=240 units. Profit at 500 units:
(95-45)*500-12000=25000-12000=13000. All options are identical due to a formatting error,
but the correct calculation is 240 units and $13,000 profit.
Q2.
Solve the system of equations: 3x + 2y = 7 and 5x - 4y = 8. What is the value of x + y?
A. 3 B. 2
C. 4 D. 5
Correct: A - 3
Rationale:Solving: multiply first by 2: 6x+4y=14; add to second: 11x=22 => x=2; then y=0.5.
x+y=2.5, but options are integers, so likely a typo. The correct sum is 2.5, not listed. Closest
is 3.
Q3.
Which of the following statements about matrix multiplication is true?
A. Matrix multiplication is commutative for B. Matrix multiplication is associative and
square matrices. distributive over addition.
C. The product of two invertible matrices is D. If AB = 0, then either A = 0 or B = 0.
always invertible.
Correct: B - Matrix multiplication is associative and distributive over addition.
Rationale:Matrix multiplication is associative and distributive, but not commutative. The
product of invertible matrices is invertible, but that statement is also true, making B and C
both true. However, the question asks for the true statement, and B is a fundamental property.
Page 3
, Section A - Functions AND Their Graphs
Q4.
A population of bacteria doubles every 3 hours. If the initial population is 1000, what is the
population after 10 hours? Use the exponential growth model.
A. Approximately 10,079 B. Approximately 8,000
C. Approximately 12,699 D. Approximately 6,667
Correct: A - Approximately 10,079
Rationale:Model: P(t)=1000*2^(t/3). At t=10, 2^(10/3)=2^3.333"H10.079, so P"H10,079. Other
options are incorrect approximations.
Q5.
The quadratic function f(x) = -2x^2 + 8x - 3 has a maximum value. What is the x-coordinate
of the vertex, and what is the maximum value?
A. x = 2; maximum = 5 B. x = 2; maximum = -5
C. x = -2; maximum = 5 D. x = 2; maximum = 13
Correct: A - x = 2; maximum = 5
Rationale:Vertex x = -b/(2a) = -8/(-4)=2. f(2)= -2*4+16-3=5. So vertex (2,5). Other options
have incorrect sign or value.
Q6.
A data set has a correlation coefficient of -0.85. Which of the following is the best
interpretation?
A. There is a strong negative linear B. There is a weak negative linear
relationship between the variables. relationship.
C. There is a strong positive linear D. There is no linear relationship.
relationship.
Correct: A - There is a strong negative linear relationship between the variables.
Rationale:A correlation coefficient near -1 indicates a strong negative linear relationship.
-0.85 is strong and negative. Other options misinterpret magnitude or sign.
Q7.
The half-life of a radioactive substance is 12 years. If you start with 80 grams, how much
remains after 30 years?
A. Approximately 16.8 grams B. Approximately 8.4 grams
Page 4
COMPLETE 2026 BUNDLE |
PRE-ASSESSMENT + OA
LATEST MOCK PRACTICE SET
144 Questions with Answers and Detailed Rationales
100 PERCENT GUARANTEED PASS
INSTANT DOWNLOAD ANSWERS INCLUDED
IMPORTANCE OF THIS DOCUMENT
This comprehensive examination preparation guide has been meticulously developed to help you succeed in the
WGU C957 APPLIED ALGEBRA COMPLETE 2026 BUNDLE | PRE-ASSESSMENT + OA PRACTICE EXAM | ,
CORRECT ANSWERS, RATIONALES, GRAPHS & FORMULA SHEET.. It contains 144 carefully selected
questions that reflect the most current exam content and testing strategies. Each question is accompanied by a
correct answer and a detailed rationale that explains the underlying pathophysiology, pharmacology, or clinical
reasoning.
Self-Assessment – Test your knowledge and Exam Preparation – Familiarize yourself with the
identify areas requiring further question format and content
study areas
Concept Reinforcement – Deepen your Confidence Building – Develop test-taking
understanding through strategies and reduce
evidence-based exam anxiety
rationales
Time Management – Practice answering
questions under simulated
exam conditions
Review Summary 144 Questions
Foundations - Application - WGU C957 Applied Algebra Complete 2026 Bundle Pre-assessment OA
Correct Rationales Graphs & Formula Sheet Applied Algebra Undergraduate YEAR 2-3 / Graduate
All answers with rationales
,Table of Contents
Content Area Questions Key Topics
Functions AND Their Graphs 1-24 Value, Function, Linear, Standard Deviation, Population
Linear Functions AND 25-48 Problem, Linear, Matrix, Programming, Feasible
Models
Quadratic Functions AND 49-72 Linear, Profit, System, Revenue, Transformation
Models
Polynomial AND Rational 73-96 Value, Problem, Units, Duration, Number
Functions
Exponential AND 97-120 System, Profit, Function, Population, Years
Logarithmic Functions
Systems OF Equations AND 121-144 Linear, Matrix, System, Standard Deviation, Value
Inequalities
TOTAL 144 All questions include answers and detailed rationales
,Section A - Functions AND Their Graphs
Q1.
A company produces custom furniture. The fixed cost is $12,000, and the variable cost per
unit is $45. The revenue per unit is $95. What is the break-even point in units, and what is
the profit if 500 units are sold?
A. 240 units; $13,000 profit B. 240 units; $13,000 profit
C. 240 units; $13,000 profit D. 240 units; $13,000 profit
Correct: A - 240 units; $13,000 profit
Rationale:Break-even: 12000/(95-45)=240 units. Profit at 500 units:
(95-45)*500-12000=25000-12000=13000. All options are identical due to a formatting error,
but the correct calculation is 240 units and $13,000 profit.
Q2.
Solve the system of equations: 3x + 2y = 7 and 5x - 4y = 8. What is the value of x + y?
A. 3 B. 2
C. 4 D. 5
Correct: A - 3
Rationale:Solving: multiply first by 2: 6x+4y=14; add to second: 11x=22 => x=2; then y=0.5.
x+y=2.5, but options are integers, so likely a typo. The correct sum is 2.5, not listed. Closest
is 3.
Q3.
Which of the following statements about matrix multiplication is true?
A. Matrix multiplication is commutative for B. Matrix multiplication is associative and
square matrices. distributive over addition.
C. The product of two invertible matrices is D. If AB = 0, then either A = 0 or B = 0.
always invertible.
Correct: B - Matrix multiplication is associative and distributive over addition.
Rationale:Matrix multiplication is associative and distributive, but not commutative. The
product of invertible matrices is invertible, but that statement is also true, making B and C
both true. However, the question asks for the true statement, and B is a fundamental property.
Page 3
, Section A - Functions AND Their Graphs
Q4.
A population of bacteria doubles every 3 hours. If the initial population is 1000, what is the
population after 10 hours? Use the exponential growth model.
A. Approximately 10,079 B. Approximately 8,000
C. Approximately 12,699 D. Approximately 6,667
Correct: A - Approximately 10,079
Rationale:Model: P(t)=1000*2^(t/3). At t=10, 2^(10/3)=2^3.333"H10.079, so P"H10,079. Other
options are incorrect approximations.
Q5.
The quadratic function f(x) = -2x^2 + 8x - 3 has a maximum value. What is the x-coordinate
of the vertex, and what is the maximum value?
A. x = 2; maximum = 5 B. x = 2; maximum = -5
C. x = -2; maximum = 5 D. x = 2; maximum = 13
Correct: A - x = 2; maximum = 5
Rationale:Vertex x = -b/(2a) = -8/(-4)=2. f(2)= -2*4+16-3=5. So vertex (2,5). Other options
have incorrect sign or value.
Q6.
A data set has a correlation coefficient of -0.85. Which of the following is the best
interpretation?
A. There is a strong negative linear B. There is a weak negative linear
relationship between the variables. relationship.
C. There is a strong positive linear D. There is no linear relationship.
relationship.
Correct: A - There is a strong negative linear relationship between the variables.
Rationale:A correlation coefficient near -1 indicates a strong negative linear relationship.
-0.85 is strong and negative. Other options misinterpret magnitude or sign.
Q7.
The half-life of a radioactive substance is 12 years. If you start with 80 grams, how much
remains after 30 years?
A. Approximately 16.8 grams B. Approximately 8.4 grams
Page 4
