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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Systems of Equations and Inequalities | 15% | - Graphical solutions - Solving by substitution and elimination - Applications of systems |
| Topic 2: Linear Equations and Inequalities | 25% | - Real-world applications - Solving and graphing inequalities - Solving single-variable equations |
| Topic 3: Algebraic Expressions and Operations | 20% | - Variables, constants, and coefficients - Simplifying and evaluating expressions - Operations with polynomials - Order of operations |
| Topic 4: Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Properties of exponents - Simplifying radical expressions - Solving quadratic equations |
| Topic 5: Graphing and Functions | 25% | - Function notation and evaluation - Linear functions and their graphs - Coordinate plane and plotting points - Slope and equations of lines |
1. The exponential function
f(t)=2900(1.13)
t
represents the size of a bacteria population, where t is the time in hours.
How many bacteria are in the population when t=18?
A) 29,573
B) 26,170
C) 23,160
D) 20,495
2. The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.
Which interpretation of the instantaneous rate of change is correct?
A) In 2012, the population was increasing by 3,740 animals per year.
B) In 2007, the population was increasing by 3.74 animals per year.
C) In 2007, the population was increasing by 3,740 animals per year.
D) In 2012, the population was increasing by 3.74 animals per year.
3. The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.
Which function represents this situation?
A) f(n)=n+17
B) f(n)=n/17
C) f(n)=n#17
D) f(n)=17n
4. The spread of two viruses within a single population is modeled using the functions in the graph.
What is a correct conclusion based on the graph?
A) Virus A affects 70%of the population before virus B does.
B) Virus A affects 80%of the population before virus B does.
C) Virus A affects 80%of the population before virus B does.
D) Virus A affects 20%of the population before virus B does.
5. Consider the function I(m)=41m²#490m+30, which represents the daily income, I, in dollars, of a store based on the number of months, m, since the beginning of the year. What is the difference between I(7) and I(9)?
A) Approximately $332
B) Approximately 332 months
C) Approximately 2 months
D) Approximately $2
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: D | Question # 5 Answer: A |
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