Cumulative Exam Review
Use the quadratic formula to solve 4072-03-02-06-00_files/i0250000.jpg, and then verify your answer by graphing.
D
Your car averages about 27 miles per gallon on highways. With gasoline priced at $2.599 per gallon, how much will you expect to spend on gasoline during your 500-mile trip?
D
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. -5x2+3x+10
D
Solve the following inequality algebraically: 4072-03-02-01-00_files/i0210000.jpg
A
The school taxes on a house assessed at $210,000 are $2340. At the same tax rate, what are the taxes (to the nearest dollar) on a house assessed at $275,000?
A
Translate the following sentence into an equation using n for the unknown number. Then solve for n. when 15 is decreased by three times a number, the result is 21
A
While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground. As the plane starts its descent (at time x = 0), you record the following data: If you were to graph these points on a graph, you would notice that the line that forms represents a linear function. What is the practical meaning of slope in this situation?
A
A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. How would you describe the shape of the distribution of the data? How is it skewed?
B
Define variables and write systems of equations for the situation. Solve using substitution. Suppose you want to join a video store. Big video offers a special discount card that costs $9.99 per year. With the discount card, each video rental costs $2.49. A discount card from Main Street Video cost $20.49 per year. With the Main Street Video discount card, each video rental costs $1.79. After how many video rentals is the cost the same?
B
Determine whether a scatter plot of the data for the following situation might show a positive, negative, or no relationship. Explain your answer. size of household and amount of water bill
B
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: 4072-03-02-03-00_files/i0040000.jpg
B
Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
B
Solve the following inequality using the algebraic approach: 4072-03-02-01-00_files/i0140000.jpg
B
Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results: Politics Liberal Moderate Conservative Total Female 36 34 9 79 Male 43 54 18 115 Total 79 88 27 194 Given the student is a "Moderate" what is the probability that the student is male? Round your answer to three decimal places if necessary.
B
Suppose that the speed of a car, measured in miles per hour (mph), is monitored for a short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied.
B
The following figures give the distribution of land (in acres) for a county containing 67,000 acres. Identify each category on the circle graph.
B
The scatter plot shows the relationship between years of experience and hourly pay at one factory. Describe the relationship between experience and pay.
B
Find the vertex of the parabola. 4072-03-02-04-00_files/i0150000.jpg
C
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs. 4072-03-02-03-00_files/i0300000.jpg
C
State which of the following ordered pairs is a function. Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) Set B: (1, 4), (2, 3), (3, 2), (4, 1) Set C: (2, 1), (3, 2), (2, 3), (1, 4)
C
David is studying a mammal, but Ping is not. The animal that Mandy is studying can be found in the ocean. The animal that Alan is studying is slower than the animal that David is studying. Which animal is David studying
D
Solve the equation. Then check your solution. 4072-01-02-05-00_files/i0140000.jpg(15 + 7d) = 4072-01-02-05-00_files/i0140001.jpg
D
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write an equation that represents this function, letting t represent the independent variable, let h represent the function, and h(t) the dependent variable. Evaluate h(7) and write a sentence describing its meaning. Write the result as an ordered pair.
D
The value of almost everything you own (assets), such as a car, computer, or house, depreciates (goes down) over time. When an asset's value decreases by a fixed amount each year, the depreciation is called straight-line depreciation. Suppose your truck has an initial value of $12,400 and depreciates $820 per year. Write a statement using v as the dependent variable and t as the independent variable. Then translate the statement into an equation.
D
The weights, in pounds, of a group of students are as follows: 173 123 171 175 188 120 177 160 151 169 162 128 145 140 158 132 202 162 154 180 164 166 157 171 175 Find the five-number summary for the data. Which boxplot best represents the data?
D
