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| Section | Weight | Objectives |
|---|---|---|
| Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Solving single-variable equations - Real-world applications |
| Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination - Applications of systems - Graphical solutions |
| Graphing and Functions | 25% | - Coordinate plane and plotting points - Linear functions and their graphs - Slope and equations of lines - Function notation and evaluation |
| Algebraic Expressions and Operations | 20% | - Order of operations - Simplifying and evaluating expressions - Variables, constants, and coefficients - Operations with polynomials |
| Exponents, Radicals, and Quadratic Relationships | 15% | - Simplifying radical expressions - Basic quadratic graphs - Properties of exponents - Solving quadratic equations |
Question 1
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 only day 6.
B. The temperature was likely over 70°F on days 6 and 12.
C. The temperature was likely over 70°F on days 2 and 10.
D. The temperature was likely over 70°F on only day 2.
Question 2
A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. The graphed regression function has an r
2value of 0.41. The predicted number of annual bear sightings after 19.4 years is 88.5.
Is this prediction appropriate?
A. No. The r2value indicates a moderate fit, but x=19.4 is more than 25% of the range beyond the maximum value.
B. No. The r2value indicates a strong fit, but x=19.4 is more than 50% of the range beyond the maximum value.
C. Yes. The r2value indicates a moderate fit, and x=19.4 is within 25% of the range of the maximum value.
D. Yes. The r2value indicates a strong fit, and x=19.4 is within 50% of the range of the maximum value.
Question 3
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(840)=280
B. H(93)=280
C. H(280)=840
D. H(280)=93
Question 4
Based on collected data, the number of registered voters in a district can be modeled using the function f(x)=1,300× # 0.92 # ^x whose graph is shown, where xrepresents the number of years since 2001 and f(x)represents the number of registered voters.
Which time period has the fastest average decrease in the number of registered voters?
A. 2001 to 2007
B. 2007 to 2008
C. 2009 to 2012
D. 2008 to 2021
Question 5
The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.
Which type of function should be used to model the data?
A. Logistic
B. Linear
C. Exponential
D. Polynomial
Solutions:
| Question 1 Answer: C | Question 2 Answer: A | Question 3 Answer: C | Question 4 Answer: A | Question 5 Answer: C |
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