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Last Updated: Sep 25, 2026

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WGU Applied-Algebra Exam Syllabus Topics:

SectionWeightObjectives
Linear Equations and Inequalities25%- Solving and graphing inequalities
- Real-world applications
- Solving single-variable equations
Systems of Equations and Inequalities15%- Graphical solutions
- Solving by substitution and elimination
- Applications of systems
Exponents, Radicals, and Quadratic Relationships15%- Basic quadratic graphs
- Solving quadratic equations
- Properties of exponents
- Simplifying radical expressions
Algebraic Expressions and Operations20%- Order of operations
- Variables, constants, and coefficients
- Simplifying and evaluating expressions
- Operations with polynomials
Graphing and Functions25%- Slope and equations of lines
- Linear functions and their graphs
- Coordinate plane and plotting points
- Function notation and evaluation

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

Question #1

A person makes down quilts to sell.

The graph shows the functions that model the cost and revenue.
How many down quilts need to sell to break even/start making a profit?

  • A. 10
  • B. 8
  • C. 6
  • D. 2
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

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Question #2

The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.
Which function represents this situation?

  • A. f(n)=n/17
  • B. f(n)=n#17
  • C. f(n)=n+17
  • D. f(n)=17n
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

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Question #3

The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town's population is growing at a faster rate?

  • A. Town A, because 8.0 > 5.5
  • B. Town B, because 1.3 > 1.0
  • C. Town A, because 1.3 > 1.0
  • D. Town B, because 8.0 > 5.5
Reveal Solution  Discussion  0

Correct Answer: B  🗳️

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Question #4

A cart is being loaded with boxes, and each box has the same weight. After 4 boxes are loaded, the total weight of the boxes and cart is 116 pounds. After 9 boxes are loaded, the total weight is 161 pounds.
What is the weight of each box?

  • A. 29 pounds
  • B. 80 pounds
  • C. 18 pounds
  • D. 9 pounds
Reveal Solution  Discussion  0

Correct Answer: D  🗳️

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Question #5

The traffic flow on a roadway after 8:00 a.m. is modeled by the graphed exponential function.

Which conclusion is valid, based on the horizontal asymptote?

  • A. The rate of traffic flow changes by a constant rate over time.
  • B. The traffic flow changes the most after the first 4 hours.
  • C. The traffic flow will not decrease to 0 vehicles per hour.
  • D. The traffic flow will change by a constant rate over time.
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

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