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| Section | Weight | Objectives |
|---|---|---|
| Graphing and Functions | 25% | - Slope and equations of lines - Linear functions and their graphs - Coordinate plane and plotting points - Function notation and evaluation |
| Algebraic Expressions and Operations | 20% | - Simplifying and evaluating expressions - Variables, constants, and coefficients - Order of operations - Operations with polynomials |
| Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Simplifying radical expressions - Properties of exponents - Solving quadratic equations |
| 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 |
Question 1
A researcher collected data on the number of books donated per month to a thrift store over time. The results are shown in the scatterplot. A regression function is graphed with r
2
=0.99.
Which range of x-values is appropriate for extrapolation?
A. Extrapolation is not appropriate because r
2
< 1.
B. x=2.5 to x=17.5
C. x=0 to x=20
D. Extrapolation is not appropriate because r
2
> 0.7.
Question 2
As regulations change, the number of licensed sellers of a product decreases. The graph models the change in the number of licensed sellers over time.
What does the horizontal asymptote mean?
A. The number of licensed sellers was initially 700.
B. After 11 months, the number of licensed sellers decreased to 100.
C. Over time, the number of licensed sellers will increase back up to 700.
D. In the long run, the number of licensed sellers nears 100.
Question 3
The number of property sales in a region this year is expected to be 8 times the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents 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 360?
A. H(2,880)=360
B. H(360)=45
C. H(45)=360
D. H(360)=2,880
Question 4
A researcher collected data on the number of daily posts on a blog. The results are shown in the scatterplot.
The graphed regression function has an r
2
value of 0.89.
Is it appropriate to make a prediction for the number of daily posts after 18.6 months?
A. Yes. The r2value indicates a strong fit, and x=18.6 is within 50% of the range of the maximum value.
B. No. The r2value indicates a moderate fit, but x=18.6 is more than 25% of the range beyond the maximum value.
C. Yes. The r2value indicates a moderate fit, and x=18.6 is within 25% of the range of the maximum value.
D. No. The r2value indicates a strong fit, but x=18.6 is more than 50% of the range beyond the maximum value.
Question 5
The number of daily raffle tickets sold, R(d), for a fundraiser is represented by the graph, with the number of days since the beginning of the month along the horizontal axis and the number of raffle tickets sold for the day along the vertical axis.
How can the concavity be described from d=0to d=4.4?
A. The number of raffle tickets decreases faster and faster and then decreases slower and slower.
B. The number of raffle tickets increases slower and slower and then decreases faster and faster.
C. The number of raffle tickets decreases slower and slower and then increases faster and faster.
D. The number of raffle tickets decreases slower and slower and then decreases faster and faster.
Solutions:
| Question 1 Answer: B | Question 2 Answer: D | Question 3 Answer: D | Question 4 Answer: A | Question 5 Answer: C |
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