PART II: Answer the question in this part. Each correct answer will receive
2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
2 points
2
Question 1
1.
On the set of axes provided, graph
f(x) = | x - 3 | + 2
2 points
2
Question 2
2.
Determine all the zeros of
m(x) = x2 - 4x + 3 , algebraically.
2 points
2
Question 3
3.
The distance traveled is equal to the rate of speed multiplied by the time traveled. If the distance is measured in feet and the time is measured in minutes, then the rate of speed is expressed in which units? Explain how you arrived at your answer.
2 points
2
Question 4
4.
Determine if the point (0, 4) is a solution to the system of inequalities graphed below.
Justify your answer.
2 points
2
Question 5
5.
If the zeros of a quadratic function, F, are -3 and 5, what is the equation of the axis of symmetry of F ?
Justify your answer.
2 points
2
Question 6
6.
The formula below calculates the gravitational force between two objects where G is the gravitational constant, M1 is the mass of one object, M2 is the mass of the other object, and r is the distance between them. Solve for the positive value of r in terms of Fg , G , M1 , and M2 .
1 point
1
Question 7
7.
At Mountain Lakes High School, the mathematics and physics scores of nine students were compared as shown in the table.
State the correlation coefficient, to the nearest hundredth, for the line of best fit for these data.
1 point
1
Question 8
8.
At Mountain Lakes High School, the mathematics and physics scores of nine students were compared as shown in the table.
Explain what the correlation coefficient means, in the context of the problem.
1 point
1
Question 9
9.
The graph of the function
f(x) = ax2 + bx + c
is given on the accompanying graph.
Could the factors of f(x) be (x + 2) and (x - 3) ?
Based on the graph, explain why or why not .
PART III: Answer the question in this part. Each correct answer will receive
4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
2 points
2
Question 10
10.
Jim is a furniture salesman. His weekly pay is $300 plus 3.5% of his total sales for the week. Jim sells x dollars' worth of furniture during the week.
Write a function, p(x) , which can be used to determine his pay for the week.
2 points
2
Question 11
11.
Jim is a furniture salesman. His weekly pay is $300 plus 3.5% of his total sales for the week. Jim sells x dollars' worth of furniture during the week.
Use this function to determine Jim's pay to the nearest cent for a week when his sales total is $8250.
2 points
2
Question 12
12.
Omar has a piece of rope. He ties a knot in the rope and measures the new length of the rope. He then repeats this process several times. Some of the data collected are listed in the table shown.
State, to the nearest tenth, the linear regression equation that approximates the length, y , of the rope after tying x knots.
2 points
2
Question 13
13.
Omar has a piece of rope. He ties a knot in the rope and measures the new length of the rope. He then repeats this process several times. Some of the data collected are listed in the table shown.
Explain what the y-intercept means in the context of the problem.
1 point
1
Question 14
14.
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles.
Write one of the inequalities that can be used to represent the situation.
1 point
1
Question 15
15.
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles.
Write the other inequality that can be used to represent the situation.
2 points
2
Question 16
16.
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes?
Justify your answer.
1 point
1
Question 17
17.
A manager wanted to analyze the online shoe sales for his business.
He collected data for the number of pairs of shoes sold each hour over a 14-hour time period.
He created a graph to model the data, as shown.
The manager believes the set of integers would be the most appropriate domain for this model.
Explain why he is incorrect.
2 points
2
Question 18
18.
A manager wanted to analyze the online shoe sales for his business.
He collected data for the number of pairs of shoes sold each hour over a 14-hour time period.
He created a graph to model the data, as shown.
Determine the average rate of change between the sixth and fourteenth hours, and explain what it means in the context of the problem.
PART IV: Answer the question in this part. Each correct answer will receive
6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
1 point
1
Question 19
19.
At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c . If she decides to add three more of each, the ratio of cats to dogs will be 3/4 .
Write one of the equations that can be used to find the number of cats and dogs Bea has in her pet shop.
1 point
1
Question 20
20.
At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c . If she decides to add three more of each, the ratio of cats to dogs will be 3/4 .
Write the other of the equations that can be used to find the number of cats and dogs Bea has in her pet shop.
2 points
2
Question 21
21.
At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c . If she decides to add three more of each, the ratio of cats to dogs will be 3/4 .
Could Bea's Pet Shop initially have 15 cats and 20 dogs?
Explain your reasoning.
2 points
2
Question 22
22.
At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c . If she decides to add three more of each, the ratio of cats to dogs will be 3/4 .
Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
