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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Exponents, Radicals, and Quadratic Relationships | 15% | - Properties of exponents - Solving quadratic equations - Basic quadratic graphs - Simplifying radical expressions |
| Topic 2: Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Real-world applications - Solving single-variable equations |
| Topic 3: Systems of Equations and Inequalities | 15% | - Graphical solutions - Applications of systems - Solving by substitution and elimination |
| Topic 4: Algebraic Expressions and Operations | 20% | - Order of operations - Variables, constants, and coefficients - Simplifying and evaluating expressions - Operations with polynomials |
| Topic 5: Graphing and Functions | 25% | - Function notation and evaluation - Linear functions and their graphs - Coordinate plane and plotting points - Slope and equations of lines |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The value of an investment portfolio after x years is modeled by the function g(x)=3100(1.059) x
.
What is the value of the portfolio when x=10?
A) $5,499.48
B) $5,823.94
C) $6,167.56
D) $5,193.08
2. The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.
Which type of function should be used to model the data?
A) Exponential
B) Polynomial
C) Logistic
D) Linear
3. A recipe calls for a constant ratio of water and lemon juice. The graph shows the relationship between the amounts of these two ingredients, where wis the volume of water and lis the volume of lemon juice.
What is the correct interpretation of the rate of change?
A) The amount of lemon juice must be 8/5of the amount of water.
B) The amount of lemon juice must be the amount of water plus 8/5.
C) The amount of lemon juice must be the amount of water plus 5/8.
D) The amount of lemon juice must be 5/8of the amount of water.
4. As a drone travels away from an operator, the function G(x)=24+47x models the distance, in yards, between the drone and the operator at x minutes. What is the value of G(1.9)?
A) 113.3
B) 1.88
C) 47
D) 24
5. The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.
p(m)=5m+5
What is the average rate of change of the price over the interval m=1to m=10?
A) 45
B) 5.91
C) 5
D) 32.5
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: A | Question # 3 Answer: D | Question # 4 Answer: A | Question # 5 Answer: C |







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