WGU C957 APPLIED ALGEBRA OA — 2026/2027
LATEST UPDATE COMPREHENSIVE EXAM PRACTICE &
ACTUAL STUDY GUIDE — 150+ FULL TESTBANK
PRACTICE QUESTIONS, 100% CORRECT ANSWERS,
VERIFIED SOLUTIONS & RATIONALES
TABLE OF CONTENTS
i. Linear Equations, Inequalities, and Absolute Value
ii. Linear Functions, Models, and Applications
iii. Systems of Linear Equations and Inequalities
iv. Polynomial Expressions, Equations, and Functions
v. Quadratic Equations, Functions, and Applications
vi. Rational Expressions, Equations, and Functions
vii. Radical Expressions and Equations
viii. Exponential Functions and Equations
ix. Logarithmic Functions and Equations
x. Function Composition, Inverses, and Transformations
xi. Algebraic Modeling and Interpretation
xii. Advanced Mixed Applied Algebra Review
DESCRIPTION
This comprehensive WGU C957 Applied Algebra OA practice examination is
designed to strengthen the algebraic reasoning, modeling, problem-solving, and
analytical skills required for advanced course assessment preparation. It covers
linear, quadratic, polynomial, rational, radical, exponential, logarithmic, and
functional concepts through challenging application-based questions. The
resource is suitable for WGU students seeking intensive review, learners preparing
for objective assessments, and anyone needing rigorous applied-algebra practice.
Students should expect 150 questions with answers and concise rationales
emphasizing mathematical reasoning rather than memorization. It is structured to
identify conceptual weaknesses, reinforce computational accuracy, and improve
examination readiness. Purchase and instantly get a downloadable and editable
PDF for convenient study and review.
QUESTION 1
,A company models its monthly profit by P (x) = 18x − 4, 500, where x represents
units sold. Which interpretation of the equation P (x) = 0 is correct?
A. The company sells 4,500 units per month.
B. The company reaches its break-even point when 250 units are sold.
C. The company earns $18 for every 4,500 units sold.
D. The fixed cost is $18.
🔴 Correct Answer: B. The company reaches its break-even point when 250
units are sold.
🔵 Explanation: Break-even occurs when profit is zero. Solving 18x − 4, 500 = 0
gives x = 250.
QUESTION 2
Solve the inequality 3(2x − 5) − 4 ≤ 2x + 9.
A. x ≤ 7
B. x ≥ 7
C. x ≤ 4
D. x ≥ 4
🔴 Correct Answer: A. x ≤ 7
🔵 Explanation: Expanding gives 6x − 19 ≤ 2x + 9, so 4x ≤ 28, yielding x ≤ 7.
QUESTION 3
2
Which expression is equivalent to xx2 −16
−4x
, assuming all denominators are defined?
x+4
A. x
x−4
B. x
x+4
C. x−4
D. x−4
x+4
x+4
🔴 Correct Answer: A. x
🔵 Explanation: Factor as (x − 4)(x + 4)/[x(x − 4)]. The common factor cancels,
leaving (x + 4)/x, with original restrictions x = 0, 4.
QUESTION 4
,A quantity decreases from 800 to 620. What is the percentage decrease?
A. 18%
B. 20%
C. 22.5%
D. 29%
🔴 Correct Answer: C. 22.5%
🔵 Explanation: The decrease is 180. Dividing by the original 800 gives 180/800 =
0.225, or 22.5%.
QUESTION 5
If f (x) = 2x2 − 3x + 1, what is f (−2)?
A. 3
B. 9
C. 15
D. 17
🔴 Correct Answer: C. 15
🔵 Explanation: f (−2) = 2(4) − 3(−2) + 1 = 8 + 6 + 1 = 15.
QUESTION 6
5
The domain of f (x) = x−7
is:
A. All real numbers
B. x > 7
C. x = 7
D. x ≥ 7
🔴 Correct Answer: C. x = 7
🔵 Explanation: Division by zero is undefined, so x = 7 must be excluded from the
domain.
QUESTION 7
Which equation represents a line with slope −3 passing through (2, 5)?
, A. y = −3x + 11
B. y = 3x − 1
C. y = −3x − 1
D. y = 3x + 11
🔴 Correct Answer: A. y = −3x + 11
🔵 Explanation: Using point-slope form, y − 5 = −3(x − 2), which simplifies
to y = −3x + 11.
QUESTION 8
A linear model predicts that a machine produces 420 components after 6 hours
and 700 components after 10 hours. What is the production rate?
A. 35 components/hour
B. 46.7 components/hour
C. 70 components/hour
D. 280 components/hour
🔴 Correct Answer: C. 70 components/hour
🔵 Explanation: The rate is (700 − 420)/(10 − 6) = 280/4 = 70 components per
hour.
QUESTION 9
For f (x) = 4x − 9, determine the inverse function.
A. f −1 (x) = 4x + 9
B. f −1 (x) = x+9
4
= x−9
C. f −1 (x) 4
−1
D. f (x) = 9 − 4x
x+9
🔴 Correct Answer: B. f −1 (x) = 4
🔵 Explanation: Set y = 4x − 9, interchange x, y , then solve x = 4y − 9 for y : y =
(x + 9)/4.
QUESTION 10
Which statement about f (x) = x2 is true?
LATEST UPDATE COMPREHENSIVE EXAM PRACTICE &
ACTUAL STUDY GUIDE — 150+ FULL TESTBANK
PRACTICE QUESTIONS, 100% CORRECT ANSWERS,
VERIFIED SOLUTIONS & RATIONALES
TABLE OF CONTENTS
i. Linear Equations, Inequalities, and Absolute Value
ii. Linear Functions, Models, and Applications
iii. Systems of Linear Equations and Inequalities
iv. Polynomial Expressions, Equations, and Functions
v. Quadratic Equations, Functions, and Applications
vi. Rational Expressions, Equations, and Functions
vii. Radical Expressions and Equations
viii. Exponential Functions and Equations
ix. Logarithmic Functions and Equations
x. Function Composition, Inverses, and Transformations
xi. Algebraic Modeling and Interpretation
xii. Advanced Mixed Applied Algebra Review
DESCRIPTION
This comprehensive WGU C957 Applied Algebra OA practice examination is
designed to strengthen the algebraic reasoning, modeling, problem-solving, and
analytical skills required for advanced course assessment preparation. It covers
linear, quadratic, polynomial, rational, radical, exponential, logarithmic, and
functional concepts through challenging application-based questions. The
resource is suitable for WGU students seeking intensive review, learners preparing
for objective assessments, and anyone needing rigorous applied-algebra practice.
Students should expect 150 questions with answers and concise rationales
emphasizing mathematical reasoning rather than memorization. It is structured to
identify conceptual weaknesses, reinforce computational accuracy, and improve
examination readiness. Purchase and instantly get a downloadable and editable
PDF for convenient study and review.
QUESTION 1
,A company models its monthly profit by P (x) = 18x − 4, 500, where x represents
units sold. Which interpretation of the equation P (x) = 0 is correct?
A. The company sells 4,500 units per month.
B. The company reaches its break-even point when 250 units are sold.
C. The company earns $18 for every 4,500 units sold.
D. The fixed cost is $18.
🔴 Correct Answer: B. The company reaches its break-even point when 250
units are sold.
🔵 Explanation: Break-even occurs when profit is zero. Solving 18x − 4, 500 = 0
gives x = 250.
QUESTION 2
Solve the inequality 3(2x − 5) − 4 ≤ 2x + 9.
A. x ≤ 7
B. x ≥ 7
C. x ≤ 4
D. x ≥ 4
🔴 Correct Answer: A. x ≤ 7
🔵 Explanation: Expanding gives 6x − 19 ≤ 2x + 9, so 4x ≤ 28, yielding x ≤ 7.
QUESTION 3
2
Which expression is equivalent to xx2 −16
−4x
, assuming all denominators are defined?
x+4
A. x
x−4
B. x
x+4
C. x−4
D. x−4
x+4
x+4
🔴 Correct Answer: A. x
🔵 Explanation: Factor as (x − 4)(x + 4)/[x(x − 4)]. The common factor cancels,
leaving (x + 4)/x, with original restrictions x = 0, 4.
QUESTION 4
,A quantity decreases from 800 to 620. What is the percentage decrease?
A. 18%
B. 20%
C. 22.5%
D. 29%
🔴 Correct Answer: C. 22.5%
🔵 Explanation: The decrease is 180. Dividing by the original 800 gives 180/800 =
0.225, or 22.5%.
QUESTION 5
If f (x) = 2x2 − 3x + 1, what is f (−2)?
A. 3
B. 9
C. 15
D. 17
🔴 Correct Answer: C. 15
🔵 Explanation: f (−2) = 2(4) − 3(−2) + 1 = 8 + 6 + 1 = 15.
QUESTION 6
5
The domain of f (x) = x−7
is:
A. All real numbers
B. x > 7
C. x = 7
D. x ≥ 7
🔴 Correct Answer: C. x = 7
🔵 Explanation: Division by zero is undefined, so x = 7 must be excluded from the
domain.
QUESTION 7
Which equation represents a line with slope −3 passing through (2, 5)?
, A. y = −3x + 11
B. y = 3x − 1
C. y = −3x − 1
D. y = 3x + 11
🔴 Correct Answer: A. y = −3x + 11
🔵 Explanation: Using point-slope form, y − 5 = −3(x − 2), which simplifies
to y = −3x + 11.
QUESTION 8
A linear model predicts that a machine produces 420 components after 6 hours
and 700 components after 10 hours. What is the production rate?
A. 35 components/hour
B. 46.7 components/hour
C. 70 components/hour
D. 280 components/hour
🔴 Correct Answer: C. 70 components/hour
🔵 Explanation: The rate is (700 − 420)/(10 − 6) = 280/4 = 70 components per
hour.
QUESTION 9
For f (x) = 4x − 9, determine the inverse function.
A. f −1 (x) = 4x + 9
B. f −1 (x) = x+9
4
= x−9
C. f −1 (x) 4
−1
D. f (x) = 9 − 4x
x+9
🔴 Correct Answer: B. f −1 (x) = 4
🔵 Explanation: Set y = 4x − 9, interchange x, y , then solve x = 4y − 9 for y : y =
(x + 9)/4.
QUESTION 10
Which statement about f (x) = x2 is true?
