WGU C957 Pre-Assessment Applied Algebra FXO1 PFXO 2026/2027 – Complete 150 Exam Questions and Answer | 100% Verified |– Pass Guaranteed – Already Graded A+

WGU C957 Pre-Assessment Applied
Algebra FXO1 PFXO 2026/2027 –
Complete 150 Exam Questions and
Answer | 100% Verified |– Pass
Guaranteed – Already Graded A+

Function Notation and Interpretation

Q1: Interpreting Function Notation
A local business wants to predict the number of franchises, F,
given a certain number of years, Y. This prediction is modeled by
the function F(Y). What can be concluded by F(5) = 10?

 Answer: In 5 years, there will be 10 open stores.
 Rationale: In function notation, Y is the input (years),
and F(Y) is the output (number of franchises). F(5) =
10 means that when Y is 5, the output F(Y) is 10.

Q2: Modeling with Functions
Sales tax in your county is 6.5%. Which function models the
amount of sales tax, T, when you spend x dollars?

 Answer: T(x) = 0.065x
 Rationale: Sales tax is calculated by converting the
percentage to a decimal (6.5% = 0.065) and multiplying by
the purchase amount x.

,Q3: Variable Identification
Which choice is a variable?

 Answer: The amount a teenager makes babysitting
 Rationale: A variable is a quantity that can change or vary. A
teenager's earnings from babysitting are not fixed and can
take on different values.

Q4: Dependent Variable
What is a dependent variable?

 Answer: A variable that is changed by another variable
(called the independent variable).
 Rationale: The dependent variable is the output whose value
depends on the independent variable (input).

Q5: Evaluating a Function
If f(x) = 2x + 5, what is f(3)?

 Answer: 11
 Rationale: Substitute the input value for x: f(3) = 2(3) +
5 = 6 + 5 = 11.

Q6: Modeling with Linear Functions
Which situation is best modeled by a linear function?

 Answer: A car depreciates by a fixed amount of $1,500 each
year
 Rationale: Linear functions have a constant rate of change. A
fixed depreciation amount per year represents a constant
rate of change.

Linear Equations and Slope

,Q7: Slope of a Line
What is the slope of the line passing through (2, 4) and (6, 12)?

 Answer: 2
 Rationale: Slope is calculated as (y2 - y1) / (x2 - x1).
Using the given points: (12 - 4) / (6 - 2) = =
2.

Q8: Slope-Intercept Form
Which of the following is the slope-intercept form of a linear
equation?

 Answer: y = mx + b
 Rationale: In this form, m is the slope and b is the y-
intercept.

Q9: Solving Linear Equations
Solve for x: 4(x - 3) = 20

 Answer: x = 8
 Rationale:
1. Expand: 4x - 12 = 20
2. Add 12 to both sides: 4x = 32
3. Divide both sides by 4: x = 8

Q10: Graph Interpretation and Rate of Change
The graph models the populations of two towns. Which town's
population is growing at a faster rate?

 Answer: Town B, because 1.3 > 1.0
 Rationale: The growth rate of a linear graph is determined
by its slope. Even if Town A starts with a larger population,

, Town B has a steeper slope, indicating a faster rate of
growth.

 Q11: Average Rate of Change from a Graph
 The graph shows the estimated wait time, in minutes, based
on the number of hours after 7:00 a.m. What is the average
rate of change of the wait time from point A to point B?
A. 11.04
B. -5.83
C. 77.25
D. -23.3
 Correct Answer: B
 Rationale: The average rate of change is the slope of the
line segment between the two points. You would calculate it
as (change in y)/(change in x) using the coordinates from the
graph .
 Q12: Constructing a Linear Function
 A vehicle is traveling away from a town at a fixed rate. After 1
hour, the vehicle is 200 miles from the town. After 4 hours,
the vehicle is 395 miles from the town. Which function
represents the distance, d, between the vehicle and the town
after t hours?
A. d(t) = 135t + 65
B. d(t) = 65t + 135
C. d(t) = 135t
D. d(t) = 65t
 Correct Answer: B
 Rationale: First, find the slope (rate): (395 - 200) / (4 - 1) =
= 65 miles per hour. Then, find the y-intercept (initial