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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Systems of Equations and Inequalities | 15% | - Applications of systems - Graphical solutions - Solving by substitution and elimination |
| Topic 2: Linear Equations and Inequalities | 25% | - Real-world applications - Solving and graphing inequalities - Solving single-variable equations |
| Topic 3: Algebraic Expressions and Operations | 20% | - Simplifying and evaluating expressions - Operations with polynomials - Order of operations - Variables, constants, and coefficients |
| Topic 4: Graphing and Functions | 25% | - Linear functions and their graphs - Function notation and evaluation - Coordinate plane and plotting points - Slope and equations of lines |
| Topic 5: Exponents, Radicals, and Quadratic Relationships | 15% | - Simplifying radical expressions - Basic quadratic graphs - Properties of exponents - Solving quadratic equations |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question 1
The function F(n) represents the relationship between the number of animals in two enclosures, where n is the number of animals in enclosure A and F is the number of animals in enclosure B. The number of animals in enclosure B is 20 more than the number of animals in enclosure A.
Which function represents this situation?
A. F(n)=n/20
B. F(n)=n+20
C. F(n)=n#20
D. F(n)=20n
Question 2
The number of property sales in a region this year is expected to be 3 times 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 280?
A. H(280)=840
B. H(280)=93
C. H(840)=280
D. H(93)=280
Question 3
Consider the function
w(t)=0.03t^4-0.81t^3+7.55t^2-26.62t+44
which represents the number of workers, w, at a job site thours after 6:00 a.m.
What is the difference between w(4)and w(8)?
A. Approximately 4 workers
B. Approximately 4 hours
C. Approximately 8 workers
D. Approximately 8 hours
Question 4
The graphed function v(t) represents the number of vehicles, v, stopped at a toll booth t hours after 6:00 a.m.
The coordinates of points A and B are (1,49.4) and (4,45.8), respectively.
What is the average rate of change of the number of vehicles from point A to point B?
A. -1.2
B. 19.04
C. -3.6
D. 47.6
Question 5
As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 5 sacks are removed, the total weight of the wagon and remaining sacks is 135 pounds. After 9 sacks are removed, the total weight is 87 pounds. What is the weight of each sack?
A. 75 pounds
B. 20 pounds
C. 12 pounds
D. 27 pounds
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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