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WGU C957 APPLIED ALGEBRA STUDY GUIDE |
LATEST UPDATE 2026/2027 | PRACTICE
QUESTIONS AND ANSWERS | EXAM REVIEW |
100% CORRECT ANSWERS | VERIFIED
SOLUTIONS
This comprehensive practice examination is designed for students preparing for
the WGU C957 Applied Algebra Objective Assessment. It serves as a complete
study guide and exam review, reflecting the latest update for 2026/2027. The
questions are crafted to mirror the difficulty, scenario-based style, and scope of the
assessment, covering all essential domains: Linear Functions & Modeling (25%),
Systems of Linear Equations & Inequalities (20%), Quadratic & Exponential
Functions (20%), Data Analysis & Regression (15%), Financial Algebra &
Applications (10%), and Logical Reasoning & Problem Solving (10%). By
engaging with these practice questions and answers, candidates can assess their
readiness, identify knowledge gaps, and reinforce their understanding of critical
applied algebra concepts. The detailed rationales provide verified solutions,
ensuring a deep comprehension of the material and enhancing the effectiveness of
your preparation for this competency-based assessment.
Table of Contents
1. Linear Functions and Modeling
2. Systems of Linear Equations and Inequalities
3. Quadratic and Exponential Functions
4. Data Analysis and Regression
5. Financial Algebra and Applications
6. Logical Reasoning and Problem Solving
, 2
Question 1: What is the slope-intercept form of a linear equation?
A) y = mx² + b
B) y = mx + b
C) y = ax + b
D) y = m(x − h) + k
Correct Answer: B
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
This is the standard form for linear equations. Option A includes a quadratic term,
which makes it nonlinear. Option C uses different variable names but is equivalent
to A if a = m; however, B is the standard. Option D is vertex form for a parabola.
Question 2: In the equation y = 3x + 5, what is the slope?
A) 3
B) 5
C) 3/5
D) −5
Correct Answer: A
In slope-intercept form y = mx + b, the coefficient of x is the slope. Here, m = 3.
Option B is the y-intercept. Option C is a ratio that is not the slope. Option D is the
negative of the y-intercept.
Question 3: What is the slope of a horizontal line?
A) 0
B) 1
C) Undefined
D) −1
Correct Answer: A
A horizontal line has no vertical change (rise = 0), so its slope is 0. A vertical line
has an undefined slope. Options B and D are incorrect.
, 3
Question 4: What is the slope of the line passing through the points (2, 3) and (5,
9)?
A) 2
B) 3
C) 4
D) 5
Correct Answer: A
Slope = (y₂ − y₁) / (x₂ − x₁) = (9 − 3) / (5 − 2) = = 2. Options B, C, and D are
incorrect calculations.
Question 5: What is the slope of the line passing through the points (−2, 5) and (4,
−7)?
A) −2
B) 2
C) −1/2
D) 1/2
Correct Answer: A
Slope = (−7 − 5) / (4 − (−2)) = − = −2. The negative slope indicates the line
falls as x increases. Options B, C, and D are incorrect.
Question 6: What is the x-intercept of the line y = 2x − 6?
A) −3
B) −6
C) 3
D) 6
Correct Answer: C
Set y = 0: 0 = 2x − 6 → 2x = 6 → x = 3. The x-intercept is (3, 0). Options A, B,
and D are incorrect.
Question 7: A car rental company charges a flat fee of $45 plus $0.25 per mile
driven. Which linear equation represents the total cost (C) for driving (m) miles?
, 4
A) C = 45m + 0.25
B) C = 0.25m + 45
C) C = 45m − 0.25
D) C = 0.25(45 + m)
Correct Answer: B
The cost per mile ($0.25) is the variable rate multiplied by miles (m), and the flat
fee ($45) is the y-intercept. This follows slope-intercept form y = mx + b. Options
A, C, and D incorrectly assign the fixed and variable costs.
Question 8: A company's total cost to produce x units is given by C(x) = 45x +
2500. What does the coefficient 45 represent?
A) The fixed cost
B) The total cost for producing 0 units
C) The cost per unit produced
D) The profit per unit
Correct Answer: C
In the linear cost function C(x) = mx + b, m is the variable cost per unit. Here, 45
is the variable cost per unit produced. Option A is the constant term 2500. Option
B is also 2500. Option D is not represented in the cost function.
Question 9: A plumber charges a flat fee of $80 for a service call plus $55 per
hour. Which function models the total bill B for t hours of work?
A) B(t) = 80t + 55
B) B(t) = 55t + 80
C) B(t) = 55t − 80
D) B(t) = 80 + 55 + t
Correct Answer: B
The slope is 55 (dollars per hour), and the y-intercept is 80 (flat fee). So B(t) = 55t
+ 80. Options A, C, and D are incorrect.
Question 10: A car rental agency charges $30 per day plus $0.15 per mile. If a
customer's total bill was $64.50 for a one-day rental, how many miles were driven?
WGU C957 APPLIED ALGEBRA STUDY GUIDE |
LATEST UPDATE 2026/2027 | PRACTICE
QUESTIONS AND ANSWERS | EXAM REVIEW |
100% CORRECT ANSWERS | VERIFIED
SOLUTIONS
This comprehensive practice examination is designed for students preparing for
the WGU C957 Applied Algebra Objective Assessment. It serves as a complete
study guide and exam review, reflecting the latest update for 2026/2027. The
questions are crafted to mirror the difficulty, scenario-based style, and scope of the
assessment, covering all essential domains: Linear Functions & Modeling (25%),
Systems of Linear Equations & Inequalities (20%), Quadratic & Exponential
Functions (20%), Data Analysis & Regression (15%), Financial Algebra &
Applications (10%), and Logical Reasoning & Problem Solving (10%). By
engaging with these practice questions and answers, candidates can assess their
readiness, identify knowledge gaps, and reinforce their understanding of critical
applied algebra concepts. The detailed rationales provide verified solutions,
ensuring a deep comprehension of the material and enhancing the effectiveness of
your preparation for this competency-based assessment.
Table of Contents
1. Linear Functions and Modeling
2. Systems of Linear Equations and Inequalities
3. Quadratic and Exponential Functions
4. Data Analysis and Regression
5. Financial Algebra and Applications
6. Logical Reasoning and Problem Solving
, 2
Question 1: What is the slope-intercept form of a linear equation?
A) y = mx² + b
B) y = mx + b
C) y = ax + b
D) y = m(x − h) + k
Correct Answer: B
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
This is the standard form for linear equations. Option A includes a quadratic term,
which makes it nonlinear. Option C uses different variable names but is equivalent
to A if a = m; however, B is the standard. Option D is vertex form for a parabola.
Question 2: In the equation y = 3x + 5, what is the slope?
A) 3
B) 5
C) 3/5
D) −5
Correct Answer: A
In slope-intercept form y = mx + b, the coefficient of x is the slope. Here, m = 3.
Option B is the y-intercept. Option C is a ratio that is not the slope. Option D is the
negative of the y-intercept.
Question 3: What is the slope of a horizontal line?
A) 0
B) 1
C) Undefined
D) −1
Correct Answer: A
A horizontal line has no vertical change (rise = 0), so its slope is 0. A vertical line
has an undefined slope. Options B and D are incorrect.
, 3
Question 4: What is the slope of the line passing through the points (2, 3) and (5,
9)?
A) 2
B) 3
C) 4
D) 5
Correct Answer: A
Slope = (y₂ − y₁) / (x₂ − x₁) = (9 − 3) / (5 − 2) = = 2. Options B, C, and D are
incorrect calculations.
Question 5: What is the slope of the line passing through the points (−2, 5) and (4,
−7)?
A) −2
B) 2
C) −1/2
D) 1/2
Correct Answer: A
Slope = (−7 − 5) / (4 − (−2)) = − = −2. The negative slope indicates the line
falls as x increases. Options B, C, and D are incorrect.
Question 6: What is the x-intercept of the line y = 2x − 6?
A) −3
B) −6
C) 3
D) 6
Correct Answer: C
Set y = 0: 0 = 2x − 6 → 2x = 6 → x = 3. The x-intercept is (3, 0). Options A, B,
and D are incorrect.
Question 7: A car rental company charges a flat fee of $45 plus $0.25 per mile
driven. Which linear equation represents the total cost (C) for driving (m) miles?
, 4
A) C = 45m + 0.25
B) C = 0.25m + 45
C) C = 45m − 0.25
D) C = 0.25(45 + m)
Correct Answer: B
The cost per mile ($0.25) is the variable rate multiplied by miles (m), and the flat
fee ($45) is the y-intercept. This follows slope-intercept form y = mx + b. Options
A, C, and D incorrectly assign the fixed and variable costs.
Question 8: A company's total cost to produce x units is given by C(x) = 45x +
2500. What does the coefficient 45 represent?
A) The fixed cost
B) The total cost for producing 0 units
C) The cost per unit produced
D) The profit per unit
Correct Answer: C
In the linear cost function C(x) = mx + b, m is the variable cost per unit. Here, 45
is the variable cost per unit produced. Option A is the constant term 2500. Option
B is also 2500. Option D is not represented in the cost function.
Question 9: A plumber charges a flat fee of $80 for a service call plus $55 per
hour. Which function models the total bill B for t hours of work?
A) B(t) = 80t + 55
B) B(t) = 55t + 80
C) B(t) = 55t − 80
D) B(t) = 80 + 55 + t
Correct Answer: B
The slope is 55 (dollars per hour), and the y-intercept is 80 (flat fee). So B(t) = 55t
+ 80. Options A, C, and D are incorrect.
Question 10: A car rental agency charges $30 per day plus $0.15 per mile. If a
customer's total bill was $64.50 for a one-day rental, how many miles were driven?
