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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Real-world applications - Solving single-variable equations |
| Topic 2: Graphing and Functions | 25% | - Slope and equations of lines - Function notation and evaluation - Coordinate plane and plotting points - Linear functions and their graphs |
| Topic 3: Systems of Equations and Inequalities | 15% | - Applications of systems - Solving by substitution and elimination - Graphical solutions |
| Topic 4: Algebraic Expressions and Operations | 20% | - Operations with polynomials - Variables, constants, and coefficients - Order of operations - Simplifying and evaluating expressions |
| Topic 5: Exponents, Radicals, and Quadratic Relationships | 15% | - Simplifying radical expressions - Properties of exponents - Basic quadratic graphs - Solving quadratic equations |
1. The scatterplot shows data on the number of shirts sold at a gift shop per week over time. The graphed regression function has an r
2
value of 0.09.
Which range of x-values is appropriate for extrapolation?
A) x=0 to x=18
B) x=#3 to x=21
C) Extrapolation is not appropriate because r
2
< 0.7.
D) Extrapolation is not appropriate because r
2
< 0.3.
2. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A) Town B, because 6.5 > 5.5
B) Town B, because 1.3 > 1.1
C) Town A, because 6.5 > 5.5
D) Town A, because 1.3 > 1.1
3. A researcher collected data on the number of large donations per year to a charitable organization. The results are shown in the scatterplot. A regression function is graphed with r^2.
What is the appropriate range of x-values for extrapolation?
A) x=0to x=18
B) Extrapolation is not appropriate because r^2 < 1.
C) Extrapolation is not appropriate because r^2 < 0.7.
D) x=-3to x=21
4. The values, in dollars, of two accounts over time are modeled by
A_1 (t)=6,500× # 1.05 # ^t
and
A_2 (t)=3,000× # 0.96 # ^t
The variable tis measured in years.
What is the difference between the accounts after 3 years?
A) The value of Account 1 is about $4,870less than the value of Account 2.
B) The value of Account 1 is about $4,870greater than the value of Account 2.
C) The value of Account 1 is about $2,654less than the value of Account 2.
D) The value of Account 1 is about $2,654greater than the value of Account 2.
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) Polynomial
B) Logistic
C) Linear
D) Exponential
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: A | Question # 4 Answer: B | Question # 5 Answer: D |
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