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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Algebraic Expressions and Operations | 20% | - Operations with polynomials - Order of operations - Variables, constants, and coefficients - Simplifying and evaluating expressions |
| Topic 2: Exponents, Radicals, and Quadratic Relationships | 15% | - Simplifying radical expressions - Properties of exponents - Solving quadratic equations - Basic quadratic graphs |
| Topic 3: Systems of Equations and Inequalities | 15% | - Applications of systems - Solving by substitution and elimination - Graphical solutions |
| Topic 4: Graphing and Functions | 25% | - Linear functions and their graphs - Slope and equations of lines - Coordinate plane and plotting points - Function notation and evaluation |
| Topic 5: Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Solving single-variable equations - Real-world applications |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. A researcher collected data on the number of members in a national association over time. The results are shown in the scatterplot. The graphed regression function has an r^2value of 0.54.
Is it appropriate to make a prediction for the number of members after 20.6years?
A) Yes. The r^2value indicates a moderate fit, and x=20.6is within 25%of the range of the maximum value.
B) No. The r^2value indicates a strong fit, but x=20.6is more than 50%of the range beyond the maximum value.
C) Yes. The r^2value indicates a strong fit, and x=20.6is within 50%of the range of the maximum value.
D) No. The r^2value indicates a moderate fit, but x=20.6is more than 25%of the range beyond the maximum value.
2. The function V(t)represents the number of travelers, V, in a travel depot thours after 7:00 a.m. The graph of V (t)is shown.
What does V(2)represent?
A) 2 hours
B) 79.2 hours
C) 79.2 travelers
D) 2 travelers
3. The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.
What is the long-term trend in the number of letters processed per day, based on the equation of the horizontal asymptote?
A) 1,000
B) 4,500
C) 2,250
D) 25
4. The scatterplot shows data on the population of rabbits in a nature preserve. The graphed regression function has an r^2value of 0.94.
What is the appropriate range of x-values for extrapolation?
A) x=0to x=24
B) Extrapolation is not appropriate because r^2 < 1.
C) x=-4to x=28
D) Extrapolation is not appropriate because r^2 > 0.7.
5. Consider the function I(m)=41m²#490m+30, which represents the daily income, I, in dollars, of a store based on the number of months, m, since the beginning of the year. What is the difference between I(7) and I(9)?
A) Approximately $2
B) Approximately $332
C) Approximately 2 months
D) Approximately 332 months
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: B |






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