Algebra
Advanced Math
Statistics
Geometry
Evaluate Functions
200
In the equation, what is the value of x? 3/4 = x/60
A) 25 B) 30 C) 40 D) 45
D) 45
200
(p – 3)(p + 3) = 16
For which of the following values of p is the equation above true?
A) 1 B) 2 C) 4 D) 5
D) 5
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
What is the value of f(5) for the function f(x) = 9 – x2?
A) -16 B) 3 C) 4 D) 34
A) -16
400
Which of the following numbers is not a solution to the inequality 6x–9 ≥ 7x–5?
A) -8 B) -2 C) -4 D) -5
B) -2
400
If the above graph shows f(x)=7x^2, which of the following is the graph of f(x)=7x^2+1?
A) 
B) 
C) 
D) 
C) 
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
Evaluate g(x) = 4 – 5x for x = m + 1
A) -m – 1 B) -5m + 1
C) -m + 1 D) -5m – 1
D) -5m – 1
600
Which of the following is the graph of the equation y = 2x – 5 in the xy-plane?
A) 
B) 
C) 
D) 
A)
600
(2a2b^2 – 7a^2 + 2b^2 ) + 2(-3a^2b 2 + 2a^2 – b^2)
Which of the following is equivalent to the expression above?
A) -7a^2b^2
B) -4a^2b^2 – 3a^2
C) -a^2b^2 – 5a^2 + b^2
D) 8a^2b^2 – 11a^2 + 4b^2
B) -4a^2b^2 – 3a^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
Evaluate the function
f(x) = -5x at x = -1.
Write your answer using function notation.
f(-1) = 5
800
What is the solution (x, y) to the system of equations above?
A) (-5, -2) B) (3, -8) C) (4, -6) D) (9, -6)
B) (3, -8)
800
kx – 3y = 4
4x – 5y = 7
In the system of equations above, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?
A) 12/5 B) 16/7
C) -16/7 D) -12/5
A) 12/5
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) 8 pi
800
Find g(4m) for the function g(x) = 5 – 2x
g(4m) = 5 – 8m
1000
y ≤ 3x + 1
x – y ≥ 1
Which of the following ordered pairs (x, y) satisfies the system of inequalities above?
A) (-2, -1) B) (-1, 3) C) (1, 5) D) (2, -1)
D) (2, -1)
1000
A carpenter has $60 with which to buy supplies. The carpenter needs to buy both nails and screws. Nails cost $12.99 per box, and screws cost $14.99 per box. If n represents the number of boxes of nails and s represents the number of boxes of screws, which of the following systems of inequalities models this situation?
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 her Algebra class, Roberta was given the function, f(x) = 3x² + 2x – 4 and asked to evaluate it at f(-1). After careful observation of her steps to evaluate the function, what can you conclude?
Step 1: f(-1) = 3(-1)² + 2(-1) – 4
Step 2: f(-1) = 3(-1) + 2(-1) – 4
Step 3: f(-1) = -3 – 2 – 4
Step 4: f(-1) = -5 – 4
Step 5: f(-1) = -9
A) Her first mistake begins in step 2.
B) Her first mistake begins in step 3.
C) Her first mistake begins in step 4.
D) Her answer should be 20 and not -9.
A) Her first mistake begins in step 2.