WGU C957 APPLIED ALGEBRA – MODULE 2: BASIC FUNCTION CONCEPTS & ALGEBRA REVIEW | FULL QUIZ WITH WORKED SOLUTIONS 2026

WGU C957 APPLIED ALGEBRA – MODULE 2: BASIC
FUNCTION CONCEPTS & ALGEBRA REVIEW | FULL QUIZ
WITH WORKED SOLUTIONS 2026

1. Define a function.
Correct Answer: A relation where each input (x) has exactly one output (y).
Worked-Out Solution:
 Example: f(x) = 2x + 3
 Each x value produces one y value → satisfies the definition of a function


2. Identify the dependent and independent variables in f(x) = 5x – 7.
Correct Answer: Independent variable = x, Dependent variable = f(x)
Worked-Out Solution:
 x → input
 f(x) → output determined by x


3. True or False: All linear equations are functions.
Correct Answer: True
Worked-Out Solution:
 Linear equation y = mx + b → one output for each input → function


4. What is the slope of y = 3x + 4?
Correct Answer: 3
Worked-Out Solution:
 y = mx + b → slope m = 3
 Interpretation: y increases by 3 for every 1 increase in x

, 5. Find the y-intercept of y = -2x + 6.
Correct Answer: 6
Worked-Out Solution:
 y-intercept = b in y = mx + b
 Point where line crosses y-axis: (0,6)


6. Solve for x: 2x + 5 = 13
Correct Answer: x = 4
Worked-Out Solution:
 2x + 5 = 13 → 2x = 8 → x = 4


7. Solve for y: 3y – 7 = 8
Correct Answer: y = 5
Worked-Out Solution:
 3y – 7 = 8 → 3y = 15 → y = 5


8. Determine if f(x) = x² + 1 is a linear function.
Correct Answer: False
Worked-Out Solution:
 x² → quadratic term
 Graph is a parabola, not a straight line → not linear


9. Identify the function type: f(x) = 2^x
Correct Answer: Exponential
Worked-Out Solution:
 Variable in exponent → exponential growth function