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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
| Linear Equations and Inequalities | 25% | - Solving single-variable equations
- Real-world applications
- Solving and graphing inequalities
|
| Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs
- Properties of exponents
- Simplifying radical expressions
- Solving quadratic equations
|
| Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination
- Applications of systems
- Graphical solutions
|
| Graphing and Functions | 25% | - Linear functions and their graphs
- Function notation and evaluation
- Coordinate plane and plotting points
- Slope and equations of lines
|
| Algebraic Expressions and Operations | 20% | - Variables, constants, and coefficients
- Order of operations
- Simplifying and evaluating expressions
- Operations with polynomials
|
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The function P(t) represents the yearly profit, in thousands of dollars, for a virtual store since opening. The graph of P(t) is shown.

What is the time at which the store reached the maximum yearly profit?
A) Approximately 2.5 years after the store opened
B) Approximately 14 years after the store opened
C) Approximately 7.5 years after the store opened
D) Approximately 4.5 years after the store opened
2. The data in the scatterplot represents the number of people working at a research station over time. The graphed regression function has an r
2
value of 0.96. The predicted number of people working at the research station after 18.1 years is 541.

Is this prediction appropriate?
A) Yes. The r2value indicates a moderate fit, and x=18.1 is within 25% of the range of the maximum value.
B) No. The r2value indicates a strong fit, but x=18.1 is more than 50% of the range beyond the maximum value.
C) No. The r2value indicates a moderate fit, but x=18.1 is more than 25% of the range beyond the maximum value.
D) Yes. The r2value indicates a strong fit, and x=18.1 is within 50% of the range of the maximum value.
3. The graphed function v(t) represents the number of vehicles, v, stopped at a toll booth t hours after 6:00 a.m.
The coordinates of points A and B are (1,49.4) and (4,45.8), respectively.

What is the average rate of change of the number of vehicles from point A to point B?
A) -1.2
B) 19.04
C) 47.6
D) -3.6
4. In the graph showing the number of new customer accounts, the horizontal axis shows the number of weeks since the beginning of winter and the vertical axis shows the number of new customer accounts. More customer accounts are opened during snowy weeks than during weeks without snow.

When was it likely snowy?
A) It was likely snowy during weeks 7 and 14.
B) It was likely snowy during only week 7.
C) It was likely snowy during weeks 1 and 5.
D) It was likely snowy during only week 1.
5. 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 Ato point B?
A) -23.3
B) 77.25
C) -5.83
D) 11.04
Solutions:
Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: C |