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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Graphing and Functions | 25% | - Linear functions and their graphs - Slope and equations of lines - Coordinate plane and plotting points - Function notation and evaluation |
| Topic 2: Algebraic Expressions and Operations | 20% | - Simplifying and evaluating expressions - Operations with polynomials - Order of operations - Variables, constants, and coefficients |
| Topic 3: Systems of Equations and Inequalities | 15% | - Graphical solutions - Solving by substitution and elimination - Applications of systems |
| Topic 4: Exponents, Radicals, and Quadratic Relationships | 15% | - Solving quadratic equations - Properties of exponents - Simplifying radical expressions - Basic quadratic graphs |
| Topic 5: Linear Equations and Inequalities | 25% | - Real-world applications - Solving and graphing inequalities - Solving single-variable equations |
>> Valid Applied-Algebra Exam Topics <<
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NEW QUESTION # 19
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?
Answer: A
Explanation:
From d=0to about d=2, the graph is decreasing, but it is flattening as it approaches a minimum. This means the number of raffle tickets sold is decreasing at a slower rate:
" decreases slower and slower "
After the minimum, from about d=2to d=4.4, the graph increases and becomes steeper. This means the number of raffle tickets sold is increasing at a faster rate:
" increases faster and faster "
So the correct description is:
" The number of raffle tickets decreases slower and slower and then increases faster and faster. "
NEW QUESTION # 20
The graphed function v(t) represents the number of vehicles, v, stopped at a toll booth t hours after 6:00 a.m.
The coordinates of points A and B are (1,49.4) and (4,45.8), respectively.
What is the average rate of change of the number of vehicles from point A to point B?
Answer: D
Explanation:
The average rate of change measures how much the output changes per one unit of input. Here, the input is time in hours after 6:00 a.m., and the output is the number of vehicles stopped at the toll booth. The two given points are A=(1,49.4) and B=(4,45.8). Use the average rate of change formula: (y
2
#y
1
)/(x
2
#x
1
). Substituting the coordinates gives (45.8#49.4)/(4#1). The numerator is #3.6, and the denominator is 3, so the average rate of change is #1.2. The negative sign means the number of vehicles decreased over the interval.
NEW QUESTION # 21
The weight of a radioactive sample is given by the function
W(x)=740× # 0.87 #
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