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WGU Applied-Algebra Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Graphing and Functions25%- Function notation and evaluation
- Coordinate plane and plotting points
- Slope and equations of lines
- Linear functions and their graphs
Topic 2: Linear Equations and Inequalities25%- Solving and graphing inequalities
- Solving single-variable equations
- Real-world applications
Topic 3: Exponents, Radicals, and Quadratic Relationships15%- Basic quadratic graphs
- Solving quadratic equations
- Simplifying radical expressions
- Properties of exponents
Topic 4: Algebraic Expressions and Operations20%- Simplifying and evaluating expressions
- Order of operations
- Variables, constants, and coefficients
- Operations with polynomials
Topic 5: Systems of Equations and Inequalities15%- Applications of systems
- Solving by substitution and elimination
- Graphical solutions

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

Question 1

A cart is being loaded with boxes, and each box has the same weight. After 4 boxes are loaded, the total weight of the boxes and cart is 116 pounds. After 9 boxes are loaded, the total weight is 161 pounds.
What is the weight of each box?

A. 80 pounds
B. 18 pounds
C. 29 pounds
D. 9 pounds


Question 2

The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?

A. The number of fish in the lake is increasing at a constant rate of 185 fish per month.
B. The number of fish in the lake is decreasing at a constant rate of 24 fish per month.
C. The number of fish in the lake is decreasing at a constant rate of 185 fish per month.
D. The number of fish in the lake is increasing at a constant rate of 24 fish per month.


Question 3

The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.

Which interpretation of the instantaneous rate of change is correct?

A. In 2012, the population was increasing by 3,740 animals per year.
B. In 2012, the population was increasing by 3.74 animals per year.
C. In 2007, the population was increasing by 3,740 animals per year.
D. In 2007, the population was increasing by 3.74 animals per year.


Question 4

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(324)=330
B. H(336)=330
C. H(330)=324
D. H(330)=336


Question 5

The function P(t) represents the yearly profit, in thousands of dollars, for a virtual store since opening. The graph of P(t) is shown.

What is the time at which the store reached the maximum yearly profit?

A. Approximately 2.5 years after the store opened
B. Approximately 14 years after the store opened
C. Approximately 4.5 years after the store opened
D. Approximately 7.5 years after the store opened


Solutions:

Question 1
Answer: D
Question 2
Answer: D
Question 3
Answer: C
Question 4
Answer: C
Question 5
Answer: C

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