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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Algebraic Expressions and Operations | 20% | - Order of operations - Operations with polynomials - Variables, constants, and coefficients - Simplifying and evaluating expressions |
| Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Real-world applications - Solving single-variable equations |
| Systems of Equations and Inequalities | 15% | - Graphical solutions - Applications of systems - Solving by substitution and elimination |
| Exponents, Radicals, and Quadratic Relationships | 15% | - Properties of exponents - Simplifying radical expressions - Basic quadratic graphs - Solving quadratic equations |
| Graphing and Functions | 25% | - 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:
1. The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with r^2=0.99. The predicted number of visitors after 16.4weeks is 38.6.
Is this prediction appropriate?
A) Yes. The r^2value indicates a strong fit, and x=16.4is within 50%of the range of the maximum value.
B) No. The r^2value indicates a strong fit, but x=16.4is more than 50%of the range beyond the maximum value.
C) Yes. The r^2value indicates a moderate fit, and x=16.4is within 25%of the range of the maximum value.
D) No. The r^2value indicates a moderate fit, but x=16.4is more than 25%of the range beyond the maximum value.
2. The number of property sales in a region this year is expected to be 6 less than the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents 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 330?
A) H(330)=324
B) H(324)=330
C) H(336)=330
D) H(330)=336
3. A vehicle is travelling away from a rest stop. The function
D(t)=48t+23
represents the distance from the vehicle to the rest stop at time t, where t is measured in hours and D is measured in miles.
What is the value of D(1.7)?
A) 58.6
B) 87.1
C) 104.6
D) 23
4. Based on collected data, the number of registered voters in a district can be modeled using the function f(x)=1,300× # 0.92 # ^x whose graph is shown, where xrepresents the number of years since 2001 and f(x)represents the number of registered voters.
Which time period has the fastest average decrease in the number of registered voters?
A) 2001 to 2007
B) 2008 to 2021
C) 2007 to 2008
D) 2009 to 2012
5. Based on collected data, the value of a painting can be modeled using the exponential function f(x)=240(1.12) x
. In this case, x represents the number of years since 2005, and f(x) represents the value of the painting in dollars.
Which value represents the average yearly rate of change of the painting's value from 2013 to 2015?
A) 151.17
B) 74.42
C) 75.59
D) 669.82
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: A | Question # 3 Answer: C | Question # 4 Answer: A | Question # 5 Answer: C |
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