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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Graphing and Functions | 25% | - Function notation and evaluation - Coordinate plane and plotting points - Linear functions and their graphs - Slope and equations of lines |
| Topic 2: Algebraic Expressions and Operations | 20% | - Operations with polynomials - Order of operations - Simplifying and evaluating expressions - Variables, constants, and coefficients |
| Topic 3: Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Properties of exponents - Solving quadratic equations - Simplifying radical expressions |
| Topic 4: Systems of Equations and Inequalities | 15% | - Graphical solutions - Solving by substitution and elimination - Applications of systems |
| Topic 5: Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Real-world applications - Solving single-variable equations |
Question 1
The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where x represents 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 decreases slower and slower.
B. The number of registrants increases slower and slower.
C. The number of registrants increases faster and faster.
D. The number of registrants decreases faster and faster.
Question 2
A person makes down quilts to sell.
The graph shows the functions that model the cost and revenue.
How many down quilts need to sell to break even/start making a profit?
A. 2
B. 6
C. 8
D. 10
Question 3
Based on collected data, the number of employees at a firm can be modeled using the function f(x)=10× # 1.09 # ^x whose graph is shown, where xrepresents the number of years since 2001 and f(x)represents the number of employees, in thousands.
Which time period has the fastest average increase in the number of employees?
A. 2013 to 2021
B. 2005 to 2019
C. 2001 to 2016
D. 2001 to 2003
Question 4
The graph shows the number of people at an event venue after 3:00 p.m., in thousands.
Which rate of change is the greatest?
A. The instantaneous rate of change at point D
B. The instantaneous rate of change at point C
C. The average rate of change from point C to point D
D. The average rate of change from point A to point C
Question 5
The scatterplot shows data on the popularity of a blog post over time. The graphed regression function has an r2value of 0.42.
Is it appropriate to make a prediction for the number of daily blog post views after 12.4 days?
A. Yes. The r2value indicates a moderate fit, and x=12.4 is within 25% of the range of the maximum value.
B. Yes. The r2value indicates a strong fit, and x=12.4 is within 50% of the range of the maximum value.
C. No. The r2value indicates a moderate fit, but x=12.4 is more than 25% of the range beyond the maximum value.
D. No. The r2value indicates a strong fit, but x=12.4 is more than 50% of the range beyond the maximum value.
Solutions:
| Question 1 Answer: C | Question 2 Answer: B | Question 3 Answer: A | Question 4 Answer: B | Question 5 Answer: C |
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