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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Real-world applications - Solving single-variable equations |
| Exponents, Radicals, and Quadratic Relationships | 15% | - Solving quadratic equations - Simplifying radical expressions - Properties of exponents - Basic quadratic graphs |
| Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination - Graphical solutions - Applications of systems |
| Graphing and Functions | 25% | - Coordinate plane and plotting points - Linear functions and their graphs - Slope and equations of lines - Function notation and evaluation |
| Algebraic Expressions and Operations | 20% | - Operations with polynomials - Order of operations - Simplifying and evaluating expressions - Variables, constants, and coefficients |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The number of property sales in a region this year is expected to be 9 more than the number of property sales in the region last year. The function H(x) represents the number of property sales this year, where x represents the number of properties sold last year.
Which notation represents the number of property sales this year, given that the number of properties sold last year was 140?
A) H(140)=149
B) H(140)=131
C) H(131)=140
D) H(149)=140
2. A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. The graphed regression function has an r
2value of 0.41. The predicted number of annual bear sightings after 19.4 years is 88.5.
Is this prediction appropriate?
A) Yes. The r2value indicates a strong fit, and x=19.4 is within 50% of the range of the maximum value.
B) No. The r2value indicates a moderate fit, but x=19.4 is more than 25% of the range beyond the maximum value.
C) No. The r2value indicates a strong fit, but x=19.4 is more than 50% of the range beyond the maximum value.
D) Yes. The r2value indicates a moderate fit, and x=19.4 is within 25% of the range of the maximum value.
3. The function
c(t)=-0.01t^4+0.25t^3-2.33t^2+9.02t+8
represents the number of active shopping carts, c, on a website thours after 8:00 a.m.
What is the difference between c(6)and c(8)?
A) Approximately 1 hour
B) Approximately 2 active carts
C) Approximately 1 active cart
D) Approximately 2 hours
4. The spread of two viruses within a single population is modeled using the functions in the graph.
What is a correct conclusion based on the graph?
A) Virus B affects 20%of the population before virus A does.
B) Virus B affects 80%of the population before virus A does.
C) Virus B affects 60%of the population before virus A does.
D) Virus B affects 70%of the population before virus A does.
5. A vehicle is traveling away from a town at a fixed rate. After 1 hours, 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 thours?
A) d(t)=65t
B) d(t)=135t+65
C) d(t)=135t
D) d(t)=65t+135
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: B | Question # 3 Answer: C | Question # 4 Answer: A | Question # 5 Answer: D |



