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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Algebraic Expressions and Operations | 20% | - Variables, constants, and coefficients - Order of operations - Simplifying and evaluating expressions - Operations with polynomials |
| Topic 2: Graphing and Functions | 25% | - Slope and equations of lines - Linear functions and their graphs - Function notation and evaluation - Coordinate plane and plotting points |
| Topic 3: Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination - Applications of systems - Graphical solutions |
| Topic 4: Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Solving single-variable equations - Real-world applications |
| Topic 5: Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Simplifying radical expressions - Properties of exponents - Solving quadratic equations |
1. The number of new user accounts per day on a website is modeled by a decreasing exponential function. The graph of the function is shown.
Which statement is justified considering the location of the horizontal asymptote?
A) The number of daily new user accounts changes the most after the first 5 months.
B) The greatest number of daily new user accounts occurs after 10 months.
C) The number of daily new user accounts will change by a constant rate over time.
D) The number of daily new user accounts will not decrease to 0.
2. The graphed function n(t)represents the number of people, n, at a park thours after 8:00 a.m. The plotted points Aand Bhave coordinates (2#110)and (6#182).
Which statement gives the correct interpretation of the average rate of change of the number of people over the interval from point Ato point B?
A) The number of people at the park increases at an average rate of 9 per hour.
B) The number of people at the park decreases at an average rate of 18 per hour.
C) The number of people at the park decreases at an average rate of 9 per hour.
D) The number of people at the park increases at an average rate of 18 per hour.
3. The scatterplot shows data on the popularity of a blog post over time. The graphed regression function has an r2value of 0.42.
Is it appropriate to make a prediction for the number of daily blog post views after 12.4 days?
A) No. The r2value indicates a strong fit, but x=12.4 is more than 50% of the range beyond the maximum value.
B) Yes. The r2value indicates a moderate fit, and x=12.4 is within 25% of the range of the maximum value.
C) No. The r2value indicates a moderate fit, but x=12.4 is more than 25% of the range beyond the maximum value.
D) Yes. The r2value indicates a strong fit, and x=12.4 is within 50% of the range of the maximum value.
4. As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 3 sacks are removed, the total weight of the cart and remaining sacks is 116 pounds. After 6 sacks are removed, the total weight is 101 pounds.
What is the weight of each sack?
A) 5 pounds
B) 81 pounds
C) 32 pounds
D) 18 pounds
5. The graph shows the value, O, in dollars, of an investment account over time.
What represents the value of the account after 8 years?
A) $1,028.81
B) $476.54
C) $700.19
D) $2,221.12
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: A | Question # 5 Answer: D |
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