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| Section | Weight | Objectives |
|---|---|---|
| Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination - Graphical solutions - Applications of systems |
| Linear Equations and Inequalities | 25% | - Solving single-variable equations - Solving and graphing inequalities - Real-world applications |
| Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Simplifying radical expressions - Solving quadratic equations - Properties of exponents |
| Algebraic Expressions and Operations | 20% | - Variables, constants, and coefficients - Simplifying and evaluating expressions - Operations with polynomials - Order of operations |
| Graphing and Functions | 25% | - Coordinate plane and plotting points - Slope and equations of lines - Linear functions and their graphs - Function notation and evaluation |
1. 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)=93
B) H(280)=840
C) H(840)=280
D) H(93)=280
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 decreasing faster and faster.
C) The value of the coin is increasing faster and faster.
D) The value of the coin is decreasing slower and slower.
3. The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.
What is the correct interpretation of the maximum value?
A) Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.
B) Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
C) Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
D) Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
4. The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with r^2=0.99. The predicted number of visitors after 16.4weeks is 38.6.
Is this prediction appropriate?
A) No. The r^2value indicates a moderate fit, but x=16.4is more than 25%of the range beyond the maximum value.
B) Yes. The r^2value indicates a moderate fit, and x=16.4is within 25%of the range of the maximum value.
C) No. The r^2value indicates a strong fit, but x=16.4is more than 50%of the range beyond the maximum value.
D) Yes. The r^2value indicates a strong fit, and x=16.4is within 50%of the range of the maximum value.
5. A small business is tracking the number of client accounts it manages over time. The graph shows the relationship between time and the number of client accounts the small business manages.
What is the equation of the horizontal asymptote?
A) x=125
B) x=550
C) y=550
D) y=125
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: B | Question # 4 Answer: C | Question # 5 Answer: D |
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