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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Linear Equations and Inequalities | 25% | - Real-world applications - Solving and graphing inequalities - Solving single-variable equations |
| Topic 2: Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination - Graphical solutions - Applications of systems |
| Topic 3: Exponents, Radicals, and Quadratic Relationships | 15% | - Properties of exponents - Solving quadratic equations - Simplifying radical expressions - Basic quadratic graphs |
| Topic 4: Graphing and Functions | 25% | - Coordinate plane and plotting points - Linear functions and their graphs - Slope and equations of lines - Function notation and evaluation |
| Topic 5: Algebraic Expressions and Operations | 20% | - Simplifying and evaluating expressions - Operations with polynomials - Variables, constants, and coefficients - Order of operations |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The number of people auditioning for a game show is expected to be 7 more than the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A(t) represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 440 people auditioned last year?
A) A(447)=440
B) A(440)=447
C) A(433)=440
D) A(440)=433
2. A researcher collected data on the average selling price for tickets to a concert over time. The results are shown in the scatterplot. A regression function is graphed with r
2=0.56. The predicted average selling price for tickets after 10.8 days is $167.20.
Is this prediction appropriate?
A) Yes. The r2 value indicates a strong fit, and x=10.8 is within 50% of the range of the maximum value.
B) No. The r2 value indicates a strong fit, but x=10.8 is more than 50% of the range beyond the maximum value.
C) No. The r2value indicates a moderate fit, but x=10.8 is more than 25% of the range beyond the maximum value.
D) Yes. The r2 value indicates a moderate fit, and x=10.8 is within 25% of the range of the maximum value.
3. The number of comments on a social media post is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of days since the post was created and f(x)represents the number of comments on day x.
How does the number of comments change as time progresses from day 1 to day 17?
A) The number of comments decreases slower and slower.
B) The number of comments increases faster and faster.
C) The number of comments increases slower and slower.
D) The number of comments decreases faster and faster.
4. The number of people auditioning for a game show is expected to be 4 times the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 330 people auditioned last year?
A) A(82)=330
B) A(330)=82
C) A(1,320)=330
D) A(330)=1,320
5. A small business is tracking the number of client accounts it manages over time. The graph shows the relationship between time and the number of client accounts the small business manages.
What is the equation of the horizontal asymptote?
A) x=125
B) y=550
C) y=125
D) x=550
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: D | Question # 3 Answer: B | Question # 4 Answer: D | Question # 5 Answer: C |
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