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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Graphing and Functions | 25% | - Linear functions and their graphs - Function notation and evaluation - Slope and equations of lines - Coordinate plane and plotting points |
| Topic 2: Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination - Applications of systems - Graphical solutions |
| Topic 3: Linear Equations and Inequalities | 25% | - Solving single-variable equations - Solving and graphing inequalities - Real-world applications |
| Topic 4: Algebraic Expressions and Operations | 20% | - Order of operations - Simplifying and evaluating expressions - Operations with polynomials - Variables, constants, and coefficients |
| Topic 5: Exponents, Radicals, and Quadratic Relationships | 15% | - Solving quadratic equations - Basic quadratic graphs - Simplifying radical expressions - Properties of exponents |
Question 1
The number of wild horses in a federal park is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of years since the park was established and f(x)represents the wild horse population in a given year.
How does the number of wild horses change as time progresses from year 1 to year 9?
A. The number of wild horses increases slower and slower.
B. The number of wild horses decreases slower and slower.
C. The number of wild horses decreases faster and faster.
D. The number of wild horses increases faster and faster.
Question 2
The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.
How is the value of the coin changing over time based on the graph?
A. The value of the coin is increasing slower and slower.
B. The value of the coin is increasing faster and faster.
C. The value of the coin is decreasing faster and faster.
D. The value of the coin is decreasing slower and slower.
Question 3
The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where xrepresents the number of weeks since registration opened and f(x)represents the number of registrants.
How does the number of registrants change as time progresses from week 1 to week 7?
A. The number of registrants increases faster and faster.
B. The number of registrants decreases faster and faster.
C. The number of registrants decreases slower and slower.
D. The number of registrants increases slower and slower.
Question 4
The graph shows the weekly profit in hundreds of dollars for a coffee shop. The horizontal axis represents the number of years since the coffee shop opened.
What is the correct interpretation of the minimum value?
A. Approximately 13 years after opening, a minimum weekly profit of approximately $4,630was earned.
B. Approximately 6 years after opening, a minimum weekly profit of approximately $4,630was earned.
C. Approximately 13 years after opening, a minimum weekly profit of approximately $990was earned.
D. Approximately 6 years after opening, a minimum weekly profit of approximately $990was earned.
Question 5
A music student attempted to learn a difficult new song. Each day, the student would play the song and be scored on their performance. The graph shows the results.
What was the average daily change in performance from day 16 to day 20?
A. 43.86
B. 27.5
C. 1.38
D. 6.88
Solutions:
| Question 1 Answer: D | Question 2 Answer: B | Question 3 Answer: A | Question 4 Answer: D | Question 5 Answer: D |
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