Algebra
Advanced Math
Statistics
Geometry
Slope
200
A website-hosting service charges businesses a one time setup fee of $350 plus d dollars for each month. If a business owner paid $1,010 for the first 12 months, including the setup fee, what is the value of d?
A) 25 B) 35 C) 45 D) 55
D) 55
200
3|4n – 1| + 5 = 5 Solve the equation for n.
A) 1/4
B) -1/2 or 1
C) 0 or 1/2
D) No real solution
A) 1/4
200
A researcher conducted a survey to determine whether people in a certain large town prefer watching sports on television to attending the event. The researcher asked 117 people who visited a local restaurant on a Saturday, and 7 people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports - watching preferences of all people in the town?
A) Sample size B) Population size C) The people who refused to respond
D) Where the survey was given
D) Where the survey was given
200
The angles of a triangle are in the ratio 2 : 3 : 4. What is the degree measure of the largest angle?
A) 40 B) 80 C) 90 D) 120
B) 80
200
The graph below shows a relationship between values of x and y.
As the value of x increases from 0 to 1, what is the change in the value of y?
A) The value of y increases by 3 B) The value of y decreases by 3 C) The value of y increases by 1/3
D) The value of y decreases by 1/3
C) The value of y increases by 1/3
400
The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621, 000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?
A) 6,740 B) 7,690 C) 55,000 D) 76,000
B) 7,690
400
g(x) = ax^2 + 24
For the function g defined above, a is a constant and g(4). What is the value of g(-4)?
A) 0 B) 8 C) -1 D) -8
B) 8
400
A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?
I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.
II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
A) None B) II Only C) I and II D) I Only
A) None
400
In the figure above, what is the value of x?
x = 15
400
In the standard coordinate plane, a line p passes though the points (5, 4) and (-2, 17). What is the slope of line p?
A) 13/7 B) 7/13 C) -13/7 D) -7/13
C) -13/7
600
The monthly membership fee for an online television and movie service is $9.80. The cost of viewing television shows online is included in the membership fee, but there is an additional fee of $1.50 to rent each movie online. For one month, Jill’s membership and movie rental fees were $12.80. How many movies did Jill rent online that month?
A) 1 B) 2 C) 3 D) 4
B) 2
600
The complete graph of the function f is shown in the xy-plane above. For what value of x is the value of f(x) at its maximum?
A) -5 B) 4 C) 5 D) -2
D) -2
600
Gabriel performed an experiment to see if planting 13 tomato plants in black plastic mulch leads to larger tomatoes than if 13 plants are planted without mulch. He observed that the average weight of the tomatoes from tomato plants grown in black plastic mulch was 5 ounces greater than those from the plants planted without mulch. To determine if the observed difference is statistically significant, he re-randomized the tomato groups 100 times to study these random differences in the mean weights. The output of his simulation is summarized in the dot plot below.
Given these results, what is an appropriate inference that can be drawn?
A) There was no effect observed between the two groups.
B) There was an effect observed that could be due to the random assignment of plants to the groups.
C) There is strong evidence to support the hypothesis that tomatoes from plants planted in black plastic mulch are larger than those planted without mulch.
B) There was an effect observed that could be due to the random assignment of plants to the groups.
600
In the figure above, p || q and r || s. What is the value of x?
A) 76 B) 86 C) 90 D)94
D) 94
600
Which equation models the graph shown in the xy-plane below?
A) y = x + 1 B) y = -x + 1 C) y = x – 1 D) y = -x – 1
B) y = -x + 1
800
If 9x–7 = 13, what is the value of 36x–25?
A) 49 B) 52 C) 55 D) 65
C) 55
800
n – [3n – (1 – 2n)]
Which expression is equivalent to the expression above?
A) n+3n+2n–1 B) -4n+1 C) 1 D) -4x+1
B) -4n + 1
800
In order to determine if treatment X is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receive treatment X, and the other half did not receive treatment X. The resulting data showed that participants who received treatment X had significantly improved eyesight as compared to those who did not receive treatment X. Based on the design and results of the study, which of the following is an appropriate conclusion?
A) Treatment X is likely to improve the eyesight of people who have poor eyesight.
B) Treatment X improves eyesight better than all other available treatments.
C) Treatment X will improve the eyesight of anyone who takes it.
D) Treatment X will cause a substantial improvement in eyesight.
A) Treatment X is likely to improve the eyesight of people who have poor eyesight.
800
The radius of a circle is half the radius of a second circle. If the area of the second circle is 16π square inches, what is the area, in square inches, of the first circle?
A) pi B) 2 pi C) 4 pi D) 8 pi
D) 8pi
800
Write an equation for the line in point-slope form.
y – 2 = 3/2 (x – 1) OR y – 5 =3/2 (x – 3)
1000
If x=2/3y and y=18.
What is the value of 2x - 3?
A) 21 B) 15 C) 12 D) 10
A) 21
1000
If a = 4y + 2z and b = z – y,
what is the value of a + b, in terms of y and z?
A) 5y+3z B) 5y–3z C) 3y+3z D) 3y–3z
C) 3y+3z
1000
The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council’s survey?
A) It shows that the majority of city residents are in favor of the dog park.
B) The survey sample should have included more residents who are dog owners.
C) The survey sample should have consisted entirely of residents who do not own dogs.
D) The survey sample is biased because it is not representative of all city residents.
D) The survey sample is biased because it is not representative of all city residents.
1000
Triangles ABC and DEF are shown above. Which of the following is equal to the ratio (BC)/(AB)?
A) (DE)/(DF) B) (DF)/(DE) C) (DF)/(EF) D) (EF)/(DE)
B) (DF)/(DE)
1000
In the standard (x, y) coordinate plane, what is the equation of the line that passes through the origin and the point (3, 4)?
A) y = 1/4 x + 3/4 B)y = 1/4 x - 3/4 C) y = 1/2 x + 3/4 D) y = 9/4x
C) y = 1/2 x + 3/4