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| 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 single-variable equations - Solving and graphing inequalities |
| Topic 3: Graphing and Functions | 25% | - Linear functions and their graphs - Slope and equations of lines - Coordinate plane and plotting points - Function notation and evaluation |
| Topic 4: Exponents, Radicals, and Quadratic Relationships | 15% | - Properties of exponents - Basic quadratic graphs - Simplifying radical expressions - Solving quadratic equations |
| Topic 5: Algebraic Expressions and Operations | 20% | - Simplifying and evaluating expressions - Operations with polynomials - Order of operations - Variables, constants, and coefficients |
Question 1
A set of data was gathered and used to create a model for the number of subscribers to a blog. The function model is f(x)=190× # 0.99 # ^x where xrepresents the number of years since 2003 and f(x)represents the number of subscribers.
What is the correct interpretation of the average rate of change of the number of subscribers from 2012 to
2015? Round to the nearest whole number, if necessary.
A. The number of subscribers increases at an average rate of 2 subscribers per year.
B. The number of subscribers decreases at an average rate of 2 subscribers per year.
C. The number of subscribers increases at an average rate of 171 subscribers per year.
D. The number of subscribers decreases at an average rate of 171 subscribers per year.
Question 2
The function a(x)represents the value of an investment account, where xis the number of years since the account was opened. The graph of the function is shown.
What is the total value when x=4?
A. $1,830.59
B. $763.84
C. $570.79
D. $1,022.19
Question 3
The scatterplot shows data on the usage of a computer ' s CPU over time. The graphed regression function has an r^2value of 0.25.
What is the appropriate range of x-values for extrapolation?
A. Extrapolation is not appropriate because r^2 < 0.7.
B. Extrapolation is not appropriate because r^2 < 0.3.
C. x=3to x=15
D. x=1to x=17
Question 4
The graph shows the daily practice duration for a musician, where the number of days since the beginning of the month is along the horizontal axis and the number of minutes practiced per day is along the vertical axis.
Based on the graph, what was the practice duration for day 8?
A. 118 minutes
B. 120 minutes
C. 117 minutes
D. 115 minutes
Question 5
The graph shows the number of trees sold by a nursery, where the number of days since the beginning of the month is along the horizontal axis and the number of trees sold per day is along the vertical axis. The greatest number of trees are sold when the temperature is over 70°F.
When was the temperature likely over 70°F?
A. The temperature was likely over 70°F on days 2 and 10.
B. The temperature was likely over 70°F on only day 6.
C. The temperature was likely over 70°F on only day 2.
D. The temperature was likely over 70°F on days 6 and 12.
Solutions:
| Question 1 Answer: B | Question 2 Answer: A | Question 3 Answer: B | Question 4 Answer: D | Question 5 Answer: A |
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