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| Section | Weight | Objectives |
|---|---|---|
| Exponents, Radicals, and Quadratic Relationships | 15% | - Simplifying radical expressions - Properties of exponents - Basic quadratic graphs - Solving quadratic equations |
| Linear Equations and Inequalities | 25% | - Real-world applications - Solving and graphing inequalities - Solving single-variable equations |
| Algebraic Expressions and Operations | 20% | - Variables, constants, and coefficients - Order of operations - Simplifying and evaluating expressions - Operations with polynomials |
| Systems of Equations and Inequalities | 15% | - Applications of systems - Graphical solutions - Solving by substitution and elimination |
| Graphing and Functions | 25% | - Slope and equations of lines - Linear functions and their graphs - Coordinate plane and plotting points - Function notation and evaluation |
Question 1
The graphed function n(t)represents the number of animals, n, at a feeding station thours after 5:00 a.m. The plotted points Aand Bhave coordinates (1#10.6)and (8#6.59).
Which statement gives the correct interpretation of the average rate of change of the number of animals over the interval from point Ato point B?
A. The number of animals at the station increases at an average rate of 0.573 per hour.
B. The number of animals at the station decreases at an average rate of 0.573 per hour.
C. The number of animals at the station increases at an average rate of 4.01 per hour.
D. The number of animals at the station decreases at an average rate of 4.01 per hour.
Question 2
A new company just launched and is using the function M(t)to predict its market share after tyears. The graph of M(t)is shown.
When should the company expect to have a market share of 60%?
A. After 6 years
B. After 6.6 years
C. After 2 years
D. After 5 years
Question 3
A cart is being loaded with boxes, and each box has the same weight. After 4 boxes are loaded, the total weight of the boxes and cart is 116 pounds. After 9 boxes are loaded, the total weight is 161 pounds.
What is the weight of each box?
A. 80 pounds
B. 29 pounds
C. 18 pounds
D. 9 pounds
Question 4
Which statement correctly interprets u(8), given that u(t)=0.21t
3
#4.09t
2
+18.89t+69.5 represents the number of units, u, in an inventory warehouse t hours after 9:00 a.m.?
A. There are approximately 66 units in the inventory at 10:00 a.m.
B. There are approximately 66 units in the inventory at 5:00 p.m.
C. There are approximately 160 units in the inventory at 10:00 a.m.
D. There are approximately 160 units in the inventory at 5:00 p.m.
Question 5
The exponential function
f(x)=280× # 1.08 # ^x
represents the number of subscribers to a blog, where xrepresents the number of years since 2003 and f(x) represents the number of subscribers.
Which statement correctly interprets the average rate of change of the number of subscribers from 2003 to
2007? Round to the nearest whole number, if necessary.
A. The number of subscribers increases at an average rate of 25 subscribers per year.
B. The number of subscribers increases at an average rate of 330 subscribers per year.
C. The number of subscribers decreases at an average rate of 330 subscribers per year.
D. The number of subscribers decreases at an average rate of 25 subscribers per year.
Solutions:
| Question 1 Answer: B | Question 2 Answer: B | Question 3 Answer: D | Question 4 Answer: B | Question 5 Answer: A |
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