WGU C957 APPLIED ALGEBRA OBJECTIVE ASSESSMENT EXAM – QUESTIONS
AND ANSWERS | VERIFIED AND WELL DETAILED ANSWERS | PLUS RATIONALES
| DOWNLOAD AND PASS | LATEST EXAM UPDATE
CORE DOMAINS
1. Linear Equations and Inequalities
2. Functions and Modeling
3. Exponential and Logarithmic Growth
4. Systems of Equations and Matrices
5. Probability and Statistical Reasoning
6. Financial Literacy and Interest Calculations
7. Polynomial and Rational Expressions
8. Graphing and Data Interpretation
INTRODUCTION
The purpose of this examination is to evaluate a candidate’s proficiency in applying
algebraic concepts to solve complex, real-world problems. This assessment measures
the ability to synthesize mathematical theory with professional decision-making across
various technical and business domains. The exam utilizes a rigorous multiple-choice
and scenario-based structure to ensure that students can move beyond rote
memorization and demonstrate practical competence. Emphasis is placed on the
,application of functions, data analysis, and logical modeling in professional
environments. By completing this assessment, students demonstrate the critical thinking
skills necessary to make informed, data-driven decisions in their respective fields of
practice.
SECTION ONE: QUESTIONS 1–100
A small business owner has a fixed monthly cost of $2,500 and a variable cost of
$15 per unit produced. If the business sells each unit for $40, how many units must
be sold to break even?
A. 80
B. 100
🟢 C. 100
D. 120
🔴 Explanation: The break-even point occurs when Revenue = Cost. 40x = 15x + 2500.
Subtracting 15x from both sides gives 25x = 2500. Dividing by 25 gives x = 100.
Which of the following functions represents an exponential decay model?
A. f(x) = 3(1.05)^x
B. f(x) = 2x + 5
🟢 C. f(x) = 100(0.85)^x
D. f(x) = x^2 - 4
,🔴 Explanation: An exponential decay model is represented by f(x) = a(b)^x where 0 < b
< 1. Here, 0.85 is between 0 and 1.
Solve for x: 3(x - 4) = 2x + 7
A. x = 11
B. x = 15
🟢 C. x = 19
D. x = 21
🔴 Explanation: Distribute the 3: 3x - 12 = 2x + 7. Subtract 2x from both sides: x - 12 =
7. Add 12 to both sides: x = 19.
If a matrix A has dimensions 3x2 and matrix B has dimensions 2x4, what are the
dimensions of the product matrix AB?
A. 2x2
B. 3x3
🟢 C. 3x4
D. 4x3
🔴 Explanation: When multiplying matrices, the inner dimensions must match, and the
resulting matrix takes the outer dimensions. 3x2 multiplied by 2x4 results in 3x4.
, A project manager determines that the time to complete a task decreases as the
number of workers increases. This is an example of:
A. Direct variation
🟢 B. Inverse variation
C. Linear growth
D. Constant rate of change
🔴 Explanation: In inverse variation, as one variable increases, the other decreases,
following the relationship y = k/x.
Which expression is equivalent to (x^2 - 9)/(x + 3)?
A. x + 3
🟢 B. x - 3
C. x^2 - 3
D. 9 - x
🔴 Explanation: The numerator is a difference of squares: (x^2 - 9) = (x + 3)(x - 3).
Dividing by (x + 3) leaves (x - 3).
A company’s profit P is defined by the function P(x) = -2x^2 + 100x - 800, where x
is the price per unit. What price maximizes profit?
AND ANSWERS | VERIFIED AND WELL DETAILED ANSWERS | PLUS RATIONALES
| DOWNLOAD AND PASS | LATEST EXAM UPDATE
CORE DOMAINS
1. Linear Equations and Inequalities
2. Functions and Modeling
3. Exponential and Logarithmic Growth
4. Systems of Equations and Matrices
5. Probability and Statistical Reasoning
6. Financial Literacy and Interest Calculations
7. Polynomial and Rational Expressions
8. Graphing and Data Interpretation
INTRODUCTION
The purpose of this examination is to evaluate a candidate’s proficiency in applying
algebraic concepts to solve complex, real-world problems. This assessment measures
the ability to synthesize mathematical theory with professional decision-making across
various technical and business domains. The exam utilizes a rigorous multiple-choice
and scenario-based structure to ensure that students can move beyond rote
memorization and demonstrate practical competence. Emphasis is placed on the
,application of functions, data analysis, and logical modeling in professional
environments. By completing this assessment, students demonstrate the critical thinking
skills necessary to make informed, data-driven decisions in their respective fields of
practice.
SECTION ONE: QUESTIONS 1–100
A small business owner has a fixed monthly cost of $2,500 and a variable cost of
$15 per unit produced. If the business sells each unit for $40, how many units must
be sold to break even?
A. 80
B. 100
🟢 C. 100
D. 120
🔴 Explanation: The break-even point occurs when Revenue = Cost. 40x = 15x + 2500.
Subtracting 15x from both sides gives 25x = 2500. Dividing by 25 gives x = 100.
Which of the following functions represents an exponential decay model?
A. f(x) = 3(1.05)^x
B. f(x) = 2x + 5
🟢 C. f(x) = 100(0.85)^x
D. f(x) = x^2 - 4
,🔴 Explanation: An exponential decay model is represented by f(x) = a(b)^x where 0 < b
< 1. Here, 0.85 is between 0 and 1.
Solve for x: 3(x - 4) = 2x + 7
A. x = 11
B. x = 15
🟢 C. x = 19
D. x = 21
🔴 Explanation: Distribute the 3: 3x - 12 = 2x + 7. Subtract 2x from both sides: x - 12 =
7. Add 12 to both sides: x = 19.
If a matrix A has dimensions 3x2 and matrix B has dimensions 2x4, what are the
dimensions of the product matrix AB?
A. 2x2
B. 3x3
🟢 C. 3x4
D. 4x3
🔴 Explanation: When multiplying matrices, the inner dimensions must match, and the
resulting matrix takes the outer dimensions. 3x2 multiplied by 2x4 results in 3x4.
, A project manager determines that the time to complete a task decreases as the
number of workers increases. This is an example of:
A. Direct variation
🟢 B. Inverse variation
C. Linear growth
D. Constant rate of change
🔴 Explanation: In inverse variation, as one variable increases, the other decreases,
following the relationship y = k/x.
Which expression is equivalent to (x^2 - 9)/(x + 3)?
A. x + 3
🟢 B. x - 3
C. x^2 - 3
D. 9 - x
🔴 Explanation: The numerator is a difference of squares: (x^2 - 9) = (x + 3)(x - 3).
Dividing by (x + 3) leaves (x - 3).
A company’s profit P is defined by the function P(x) = -2x^2 + 100x - 800, where x
is the price per unit. What price maximizes profit?
