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154 Questions
Question 1 of 154
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SAT P2 0/154
Question 1 of 154   |  Algebra  · Level 1
A musician has a new song available for downloading or streaming. The musician earns \$0.09 each time the song is downloaded and \$0.002 each time the song is streamed. Which of the following expressions represents the amount, in dollars, that the musician earns if the song is downloaded \(d\) times and streamed \(s\) times?
A
\(0.002d + 0.09s\)
B
\(0.002d - 0.09s\)
C
\(0.09d + 0.002s\)
D
\(0.09d - 0.002s\)
Question 2 of 154   |  Ratios, Rates and Percentages  · Level 1
A quality control manager at a factory selects \(7\) lightbulbs at random for inspection out of every \(400\) lightbulbs produced. At this rate, how many lightbulbs will be inspected if the factory produces 20,000 lightbulbs?
A
\(300\)
B
\(350\)
C
\(400\)
D
\(450\)
Question 3 of 154   |  Algebra  · Level 1
\(A = 24 + 3.5m\) One end of a spring is attached to a ceiling. When an object of mass \(m\) kilograms is attached to the other end of the spring, the spring stretches to a length of \(A\) centimeters as shown in the equation above. What is \(m\) when \(A\) is \(73\)?
A
\(14\)
B
\(27.7\)
C
\(73\)
D
\(279.5\)
Question 4 of 154   |  Ratios, Rates and Percentages  · Level 1
The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns \$120 at a performance where \(8\) people attend.
How much money will the performer earn when \(20\) people attend a performance?
A
\$960
B
\$480
C
\$300
D
\$240
Question 5 of 154   |  Ratios, Rates and Percentages  · Level 1
The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns \$120 at a performance where \(8\) people attend.
The performer uses \(43%\) of the money earned to pay the costs involved in putting on each performance. The rest of the money earned is the performer's profit. What is the profit the performer makes at a performance where \(8\) people attend?
A
\$51.60
B
\$57.00
C
\$68.40
D
\$77.00
Question 6 of 154   |  Algebra  · Level 2
When \(4\) times the number \(x\) is added to \(12\), the result is \(8\). What number results when \(2\) times \(x\) is added to \(7\)?
A
\(-1\)
B
\(5\)
C
\(8\)
D
\(9\)
Question 7 of 154   |  Advanced Math  · Level 2
\(y = x^2 - 6x + 8\) The equation above represents a parabola in the \(x y\)-plane. Which of the following equivalent forms of the equation displays the \(x\)-intercepts of the parabola as constants or coefficients?
A
\(y - 8 = x^2 - 6x\)
B
\(y + 1 = (x - 3)^2\)
C
\(y = x(x - 6) + 8\)
D
\(y = (x - 2)(x - 4)\)
Question 8 of 154   |  Algebra  · Level 2
In a video game, each player starts the game with \(k\) points and loses \(2\) points each time a task is not completed. If a player who gains no additional points and fails to complete \(100\) tasks has a score of \(200\) points, what is the value of \(k\)?
A
\(0\)
B
\(150\)
C
\(250\)
D
\(400\)
Question 9 of 154   |  Algebra  · Level 2
A worker uses a forklift to move boxes that weigh either \(40\) pounds or \(65\) pounds each. Let \(x\) be the number of \(40\)-pound boxes and \(y\) be the number of \(65\)-pound boxes. The forklift can carry up to either \(45\) boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship?
A
\(40x + 65y \leq \) 2,400, \(x + y \leq 45\)
B
\(40x + 65y \leq \) 2,400, \(x + y \leq 45\)
C
\(40x + 65y \leq 45\), \(x + y \leq \) 2,400
D
\(x + y \leq \) 2,400, \(40x + 65y \leq \) 2,400
Question 10 of 154   |  Advanced Math  · Level 2
A function \(f\) satisfies \(f(2) = 3\) and \(f(3) = 5\). A function \(g\) satisfies \(g(3) = 2\) and \(g(5) = 6\). What is the value of \(f(g(3))\)?
A
\(2\)
B
\(3\)
C
\(5\)
D
\(6\)
Question 11 of 154   |  Ratios, Rates and Percentages  · Level 2
Tony is planning to read a novel. The table below shows information about the novel, Tony's reading speed, and the amount of time he plans to spend reading the novel each day. Number of hours Tony plans to read the novel per day: \(3\) Number of parts in the novel: \(8\) Number of chapters in the novel: \(239\) Number of words Tony reads per minute: \(250\) Number of pages in the novel: 1,078 Number of words in the novel: 349,168
If Tony reads at the rates given in the table, which of the following is closest to the number of days it would take Tony to read the entire novel?
A
\(6\)
B
\(8\)
C
\(23\)
D
\(324\)
Question 12 of 154   |  Algebra  · Level 2
On January 1, 2000, there were 175,000 tons of trash in a landfill that had a capacity of 325,000 tons. Each year since then, the amount of trash in the landfill increased by 7,500 tons. If \(y\) represents the time, in years, after January 1, 2000, which of the following inequalities describes the set of years where the landfill is at or above capacity?
A
325,000 \(-\) 7,500 \(\leq y\)
B
325,000 \(\leq \) 7,500 \(y\)
C
150,000 \(\geq \) 7,500 \(y\)
D
175,000 \(+\) 7,500 \(y \geq \) 325,000
Question 13 of 154   |  Statistics  · Level 3
A researcher conducted a survey to determine whether people in a certain large town prefer watching sports on television to attending the sporting 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 number of people who refused to respond
D
Where the survey was given
Question 14 of 154   |  Statistics  · Level 3
The scatterplot above shows the number of miles traveled by air passengers in Country X from 1960 to 2005, with a line of best fit. According to the line of best fit in the scatterplot above, which of the following best approximates the year in which the number of miles traveled by air passengers in Country X was estimated to be \(550\) billion?
Question image
A
\(1997\)
B
\(2000\)
C
\(2003\)
D
\(2008\)
Question 15 of 154   |  Ratios, Rates and Percentages  · Level 3
The distance traveled by Earth in one orbit around the Sun is about 580,000,000 miles. Earth makes one complete orbit around the Sun in one year. Of the following, which is closest to the average speed of Earth, in miles per hour, as it orbits the Sun?
A
66,000
B
93,000
C
210,000
D
420,000
Question 16 of 154   |  Probability  · Level 3
The table above summarizes the results on the bar exam of \(200\) law school graduates. Of those who took the review course, \(18\) passed and \(7\) did not pass the bar exam; of those who did not take the review course, \(82\) passed and \(93\) did not pass. If one of the surveyed graduates who passed the bar exam is chosen at random for an interview, what is the probability that the person chosen did not take the review course?
A
\(\dfrac{18}{25}\)
B
\(\dfrac{7}{25}\)
C
\(\dfrac{25}{200}\)
D
\(\dfrac{7}{200}\)
Question 17 of 154   |  Ratios, Rates and Percentages  · Level 3
The atomic weight of an unknown element, in atomic mass units (amu), is approximately \(20%\) less than that of calcium. The atomic weight of calcium is \(40\) amu. Which of the following best approximates the atomic weight, in amu, of the unknown element?
A
\(8\)
B
\(20\)
C
\(32\)
D
\(48\)
Question 18 of 154   |  Statistics  · Level 3
A survey was taken of the value of homes in a county, and it was found that the mean home value was \$165,000 and the median home value was \$125,000. Which of the following situations could explain the difference between the mean and median home values in the county?
A
The homes have values that are close to each other.
B
There are a few homes that are valued much less than the rest.
C
There are a few homes that are valued much more than the rest.
D
Many of the homes have values between \$125,000 and \$165,000.
Question 19 of 154   |  Statistics  · Level 3
A sociologist chose \(300\) students at random from each of two schools and asked each student how many siblings he or she has. The results are shown in the table below. For number of siblings \(0, 1, 2, 3, 4\): Lincoln School had \(120, 80, 60, 30, 10\) students respectively, and Washington School had \(140, 110, 30, 10, 10\) students respectively. There are a total of 2,400 students at Lincoln School and 3,300 students at Washington School. What is the median number of siblings for all the students surveyed?
A
\(0\)
B
\(1\)
C
\(2\)
D
\(3\)
Question 20 of 154   |  Statistics  · Level 3
A sociologist chose \(300\) students at random from each of two schools and asked each student how many siblings he or she has. For number of siblings \(0, 1, 2, 3, 4\): Lincoln School had \(120, 80, 60, 30, 10\) students respectively, and Washington School had \(140, 110, 30, 10, 10\) students respectively. There are a total of 2,400 students at Lincoln School and 3,300 students at Washington School. Based on the survey data, which of the following most accurately compares the expected total number of students with \(4\) siblings at the two schools?
A
The total number of students with \(4\) siblings is expected to be equal at the two schools.
B
The total number of students with \(4\) siblings at Lincoln School is expected to be \(30\) more than at Washington School.
C
The total number of students with \(4\) siblings at Washington School is expected to be \(30\) more than at Lincoln School.
D
The total number of students with \(4\) siblings at Washington School is expected to be \(900\) more than at Lincoln School.
Question 21 of 154   |  Algebra  · Level 3
A project manager estimates that a project will take \(x\) hours to complete, where \(x > 100\). The goal is for the estimate to be within \(10\) hours of the time it will actually take to complete the project. If the manager meets the goal and it takes \(y\) hours to complete the project, which of the following inequalities represents the relationship between the estimated time and the actual completion time?
A
\(x + y < 10\)
B
\(y > x + 10\)
C
\(y < x - 10\)
D
\(-10 < y - x < 10\)
Question 22 of 154   |  Advanced Math  · Level 3
At a large distance \(r\) from a radio antenna, the intensity of the radio signal \(I\) is related to the power of the signal \(P\) by the formula \(I = \dfrac{P}{4 \pi r^2}\). Which of the following expresses the square of the distance from the radio antenna in terms of the intensity of the radio signal and the power of the signal?
A
\(r^2 = 4 \pi I P\)
B
\(r^2 = \dfrac{P}{4 \pi I}\)
C
\(r^2 = \dfrac{4 \pi I}{P}\)
D
\(r^2 = \dfrac{I}{4 \pi P}\)
Question 23 of 154   |  Advanced Math  · Level 3
At a large distance \(r\) from a radio antenna, the intensity of the radio signal \(I\) is related to the power of the signal \(P\) by the formula \(I = \dfrac{P}{4 \pi r^2}\). For the same signal emitted by a radio antenna, Observer A measures its intensity to be \(16\) times the intensity measured by Observer B. The distance of Observer A from the radio antenna is what fraction of the distance of Observer B from the radio antenna?
A
\(\dfrac{1}{4}\)
B
\(\dfrac{1}{16}\)
C
\(\dfrac{1}{64}\)
D
\(\dfrac{1}{256}\)
Question 24 of 154   |  Geometry  · Level 3
The equation of a circle in the xy-plane is \(x^2 + y^2 + 4x - 2y = -1\). What is the radius of the circle?
A
\(2\)
B
\(3\)
C
\(4\)
D
\(9\)
Question 25 of 154   |  Algebra  · Level 3
The graph of the linear function \(f\) has intercepts at \((a, 0)\) and \((0, b)\) in the xy-plane. If \(a + b = 0\) and \(a \neq b\), which of the following is true about the slope of the graph of \(f\)?
A
It is positive.
B
It is negative.
C
It equals zero.
D
It is undefined.
Question 26 of 154   |  Advanced Math  · Level 3
The complete graph of the function \(f\) is shown in the xy-plane above. Which of the following are equal to \(1\)?
I. \(f(-4)\)
II. \(f\left(\dfrac{3}{2}\right)\)
III. \(f(3)\)
Question image
A
III only
B
I and III only
C
II and III only
D
I, II, and III
Question 27 of 154   |  Statistics  · Level 4
Two samples of water of equal mass are heated to \(60\) degrees Celsius (\(^{\circ} C\)). One sample is poured into an insulated container, and the other sample is poured into a non-insulated container. The samples are then left for \(70\) minutes to cool in a room having a temperature of \(25^{\circ} C\). The graph above shows the temperature of each sample at \(10\)-minute intervals. Which of the following statements correctly compares the average rates at which the temperatures of the two samples change?
Question image
A
In every \(10\)-minute interval, the magnitude of the rate of change of temperature of the insulated sample is greater than that of the non-insulated sample.
B
In every \(10\)-minute interval, the magnitude of the rate of change of temperature of the non-insulated sample is greater than that of the insulated sample.
C
In the intervals from \(0\) to \(10\) minutes and from \(10\) to \(20\) minutes, the rates of change of temperature of the insulated sample are of greater magnitude, whereas in the intervals from \(40\) to \(50\) minutes and from \(50\) to \(60\) minutes, the rates of change of temperature of the non-insulated sample are of greater magnitude.
D
In the intervals from \(0\) to \(10\) minutes and from \(10\) to \(20\) minutes, the rates of change of temperature of the non-insulated sample are of greater magnitude, whereas in the intervals from \(40\) to \(50\) minutes and from \(50\) to \(60\) minutes, the rates of change of temperature of the insulated sample are of greater magnitude.
Question 28 of 154   |  Geometry  · Level 4
In the \(x y\)-plane above, \(A B C D\) is a square and point \(E\) is the center of the square. The coordinates of points \(C\) and \(E\) are \((7, 2)\) and \((1, 0)\), respectively. Which of the following is an equation of the line that passes through points \(B\) and \(D\) ?
Question image
A
\(y = -3x - 1\)
B
\(y = -3(x - 1)\)
C
\(y = -\dfrac{1}{3} x + 4\)
D
\(y = -\dfrac{1}{3} x - 1\)
Question 29 of 154   |  Advanced Math  · Level 4
\(y = 3\) \(y = a x^2 + b\) In the system of equations above, \(a\) and \(b\) are constants. For which of the following values of \(a\) and \(b\) does the system of equations have exactly two real solutions?
A
\(a = -2\), \(b = 2\)
B
\(a = -2\), \(b = 4\)
C
\(a = 2\), \(b = 4\)
D
\(a = 4\), \(b = 3\)
Question 30 of 154   |  Geometry  · Level 4
The figure above shows a regular hexagon with sides of length \(a\) and a square with sides of length \(a\). If the area of the hexagon is \(384 \sqrt{3}\) square inches, what is the area, in square inches, of the square?
Question image
A
\(256\)
B
\(192\)
C
\(64 \sqrt{3}\)
D
\(16 \sqrt{3}\)
Question 31 of 154   |  Ratios, Rates and Percentages  · Level 4

Student-produced response directions

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  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
A coastal geologist estimates that a certain country's beaches are eroding at a rate of \(1.5\) feet per year. According to the geologist's estimate, how long will it take, in years, for the country's beaches to erode by \(21\) feet?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 32 of 154   |  Ratios, Rates and Percentages  · Level 4

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
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  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
If \(h\) hours and \(30\) minutes is equal to \(450\) minutes, what is the value of \(h\) ?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 33 of 154   |  Advanced Math  · Level 4

Student-produced response directions

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  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In the \(x y\)-plane, the point \((3, 6)\) lies on the graph of the function \(f(x) = 3x^2 - b x + 12\). What is the value of \(b\) ?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 34 of 154   |  Algebra  · Level 5

Student-produced response directions

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  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In one semester, Doug and Laura spent a combined \(250\) hours in the tutoring lab. If Doug spent \(40\) more hours in the lab than Laura did, how many hours did Laura spend in the lab?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 35 of 154   |  Algebra  · Level 5

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
\(a = 18t + 15\) Jane made an initial deposit to a savings account. Each week thereafter she deposited a fixed amount to the account. The equation above models the amount \(a\), in dollars, that Jane has deposited after \(t\) weekly deposits. According to the model, how many dollars was Jane's initial deposit? (Disregard the \$ sign when gridding your answer.)
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 36 of 154   |  Geometry  · Level 5

Student-produced response directions

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  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In the figure above, point \(O\) is the center of the circle, line segments \(L M\) and \(M N\) are tangent to the circle at points \(L\) and \(N\), respectively, and the segments intersect at point \(M\) as shown, with angle \(L M N = 60^{\circ}\). If the circumference of the circle is \(96\), what is the length of minor arc \(L N\) ?
Question image
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 37 of 154   |  Advanced Math  · Level 5

Student-produced response directions

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
Questions 37 and 38 refer to the following information. A botanist is cultivating a rare species of plant in a controlled environment and currently has 3000 of these plants. The population of this species that the botanist expects to grow next year, \(N_{\text{next year}}\), can be estimated from the number of plants this year, \(N_{\text{this year}}\), by the equation below. \(N_{\text{next year}} = N_{\text{this year}} + 0.2 N_{\text{this year}} \left(1 - \dfrac{N_{\text{this year}}}{K}\right)\) The constant \(K\) in this formula is the number of plants the environment is able to support. According to the formula, what will be the number of plants two years from now if \(K = 4000\)? (Round your answer to the nearest whole number.)
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 38 of 154   |  Advanced Math  · Level 5

Student-produced response directions

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  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
The botanist would like to increase the number of plants that the environment can support so that the population of the species will increase more rapidly. If the botanist's goal is that the number of plants will increase from 3000 this year to 3360 next year, how many plants must the modified environment support?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 39 of 154   |  Algebra  · Level 1
If \(\dfrac{x}{5} + 6 = 10\), what is the value of \(\dfrac{x}{10} + 3\) ?
A
\(4\)
B
\(9\)
C
\(11\)
D
\(20\)
Question 40 of 154   |  Algebra  · Level 1
\(x + y = 0\) \(3x - 2y = 10\) Which of the following ordered pairs \((x, y)\) satisfies the system of equations above?
A
\((3, -2)\)
B
\((2, -2)\)
C
\((-2, 2)\)
D
\((-2, -2)\)
Question 41 of 154   |  Algebra  · Level 1
A landscaping company estimates the price of a job, in dollars, using the expression \(60 + 12n h\), where \(n\) is the number of landscapers who will be working and \(h\) is the total number of hours the job will take using \(n\) landscapers. Which of the following is the best interpretation of the number \(12\) in the expression?
A
The company charges \$12 per hour for each landscaper.
B
A minimum of \(12\) landscapers will work on each job.
C
The price of every job increases by \$12 every hour.
D
Each landscaper works \(12\) hours a day.
Question 42 of 154   |  Advanced Math  · Level 2
\(9a^4 + 12a^2 b^2 + 4b^4\) Which of the following is equivalent to the expression shown above?
A
\((3a^2 + 2b^2)^2\)
B
\((3a + 2b)^4\)
C
\((9a^2 + 4b^2)^2\)
D
\((9a + 4b)^4\)
Question 43 of 154   |  Advanced Math  · Level 2
\(\dfrac{k}{2} x^2 + 17 - ... = 0\) If \(k > 0\) and \(x = 7\) in the equation above, what is the value of \(k\) ?
A
\(2\)
B
\(3\)
C
\(4\)
D
\(5\)
Question 44 of 154   |  Algebra  · Level 2
In the \(x y\)-plane above, line \(ℓ\) is parallel to line \(k\). The figure shows the points \((0, 2)\), \((p, 0)\), \((0, -4)\), and \((-5, 0)\). What is the value of \(p\) ?
A
\(4\)
B
\(5\)
C
\(8\)
D
\(10\)
Question 45 of 154   |  Advanced Math  · Level 2
If \(\dfrac{x^{a^2}}{x^{b^2}} = x^16\), \(x > 1\), and \(a + b = 2\), what is the value of \(a - b\) ?
A
\(8\)
B
\(14\)
C
\(16\)
D
\(18\)
Question 46 of 154   |  Geometry  · Level 3
\(nA = 360\) The measure \(A\), in degrees, of an exterior angle of a regular polygon is related to the number of sides, \(n\), of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than \(50°\), what is the greatest number of sides it can have?
A
\(5\)
B
\(6\)
C
\(7\)
D
\(8\)
Question 47 of 154   |  Algebra  · Level 3
The graph of a line in the \(x y\)-plane has slope \(2\) and contains the point \((1, 8)\). The graph of a second line passes through the points \((1, 2)\) and \((2, 1)\). If the two lines intersect at the point \((a, b)\), what is the value of \(a + b\) ?
Question image
A
\(4\)
B
\(3\)
C
\(-1\)
D
\(-4\)
Question 48 of 154   |  Advanced Math  · Level 3
Which of the following equations has a graph in the \(x y\)-plane for which \(y\) is always greater than or equal to \(-1\) ?
A
\(y = x - 2\)
B
\(y = x^2 - 2\)
C
\(y = (x - 2)^2\)
D
\(y = x^3 - 2\)
Question 49 of 154   |  Advanced Math  · Level 3
Which of the following complex numbers is equivalent to \(\dfrac{3 - 5i}{8 + 2i}\) ? (Note: \(i = \sqrt{-1}\))
A
\(\dfrac{3}{8} - \dfrac{5}{2} i\)
B
\(\dfrac{3}{8} + \dfrac{5}{2} i\)
C
\(\dfrac{7}{34} - \dfrac{23}{34} i\)
D
\(\dfrac{7}{34} + \dfrac{23}{34} i\)
Question 50 of 154   |  Advanced Math  · Level 3
\(R = \dfrac{F}{F + N}\) A website uses the formula above to calculate a seller's rating, \(R\), based on the number of favorable reviews, \(F\), and unfavorable reviews, \(N\). Which of the following expresses the number of favorable reviews in terms of the other variables?
A
\(F = \dfrac{R N}{R - 1}\)
B
\(F = \dfrac{R N}{1 - R}\)
C
\(F = \dfrac{N}{1 - R}\)
D
\(F = \dfrac{N}{R - 1}\)
Question 51 of 154   |  Advanced Math  · Level 3
What is the sum of all values of \(m\) that satisfy \(2m^2 - 16m + 8 = 0\) ?
A
\(-8\)
B
\(-4 \sqrt{3}\)
C
\(4 \sqrt{3}\)
D
\(8\)
Question 52 of 154   |  Advanced Math  · Level 4
A radioactive substance decays at an annual rate of \(13\) percent. If the initial amount of the substance is \(325\) grams, which of the following functions \(f\) models the remaining amount of the substance, in grams, \(t\) years later?
A
\(f(t) = 325(0.87)^t\)
B
\(f(t) = 325(0.13)^t\)
C
\(f(t) = 0.87(325)^t\)
D
\(f(t) = 0.13(325)^t\)
Question 53 of 154   |  Advanced Math  · Level 4
The expression \(\dfrac{5x - 2}{x + 3}\) is equivalent to which of the following?
A
\(\dfrac{5 - 2}{3}\)
B
\(5 - \dfrac{2}{3}\)
C
\(5 - \dfrac{2}{x + 3}\)
D
\(5 - \dfrac{17}{x + 3}\)
Question 54 of 154   |  Algebra  · Level 4

Student-produced response directions

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
The sales manager of a company awarded a total of \$3000 in bonuses to the most productive salespeople. The bonuses were awarded in amounts of \$250 or \$750. If at least one \$250 bonus and at least one \$750 bonus were awarded, what is one possible number of \$250 bonuses awarded?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 55 of 154   |  Advanced Math  · Level 4

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
\(2 x (3 x + 5) + 3 (3 x + 5) = a x^2 + b x + c\) In the equation above, \(a\), \(b\), and \(c\) are constants. If the equation is true for all values of \(x\), what is the value of \(b\) ?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 56 of 154   |  Geometry  · Level 5

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In the figure above, \(A E\) is parallel to \(C D\) and segment \(A D\) intersects segment \(C E\) at \(B\). What is the length of segment \(C E\)?
Question image
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 57 of 154   |  Trigonometry  · Level 5

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In the \(x y\)-plane above, \(O\) is the center of the circle, point \(A\) is at \((\sqrt{3}, 1)\), and the measure of \(\angle A O B\) is \(\dfrac{\pi}{a}\) radians. What is the value of \(a\)?
Question image
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 58 of 154   |  Algebra  · Level 5

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
\(a x + b y = 12\) \(2x + 8y = 60\) In the system of equations above, \(a\) and \(b\) are constants. If the system has infinitely many solutions, what is the value of \(\dfrac{a}{b}\)?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 59 of 154   |  Information and Ideas  · Level 1
This passage is from Charlotte Brontë, The Professor (1857). The narrator describes his irksome occupation copying and translating business-letters, his longing for liberty, and the growing antipathy between himself and his employer, Edward Crimsworth.
Which choice best summarizes the passage?
Question image Question image Question image
A
A character describes his dislike for his new job and considers the reasons why.
B
Two characters employed in the same office become increasingly competitive.
C
A young man regrets privately a choice that he defends publicly.
D
A new employee experiences optimism, then frustration, and finally despair.
Question 60 of 154   |  Craft and Structure  · Level 1
The opening sentence reads: "No man likes to acknowledge that he has made a mistake in the choice of his profession, and every man, worthy of the name, will row long against wind and tide before he allows himself to cry out, 'I am baffled!' and submits to be floated passively back to land."
The main purpose of the opening sentence of the passage is to
A
establish the narrator's perspective on a controversy.
B
provide context useful in understanding the narrator's emotional state.
C
offer a symbolic representation of Edward Crimsworth's plight.
D
contrast the narrator's good intentions with his malicious conduct.
Question 61 of 154   |  Craft and Structure  · Level 1
During the course of the first paragraph, the narrator's focus shifts from
Question image Question image Question image
A
recollection of past confidence to acknowledgment of present self-doubt.
B
reflection on his expectations of life as a tradesman to his desire for another job.
C
generalization about job dissatisfaction to the specifics of his own situation.
D
evaluation of factors making him unhappy to identification of alternatives.
Question 62 of 154   |  Craft and Structure  · Level 1
At the end of the first paragraph, the narrator writes that the antipathy between himself and his employer was "striking deeper root and spreading denser shade daily," and that he "began to feel like a plant growing in humid darkness out of the slimy walls of a well."
The references to "shade" and "darkness" at the end of the first paragraph mainly have which effect?
A
They evoke the narrator's sense of dismay.
B
They reflect the narrator's sinister thoughts.
C
They capture the narrator's fear of confinement.
D
They reveal the narrator's longing for rest.
Question 63 of 154   |  Information and Ideas  · Level 1
The passage indicates that Edward Crimsworth's behavior was mainly caused by his
Question image Question image Question image
A
impatience with the narrator's high spirits.
B
scorn of the narrator's humble background.
C
indignation at the narrator's rash actions.
D
jealousy of the narrator's apparent superiority.
Question 64 of 154   |  Information and Ideas  · Level 1
The passage indicates that when the narrator began working for Edward Crimsworth, he viewed Crimsworth as a
Question image Question image Question image
A
harmless rival.
B
sympathetic ally.
C
perceptive judge.
D
demanding mentor.
Question 65 of 154   |  Information and Ideas  · Level 1
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 28-31 (“the antipathy . . . life”)
B
Lines 38-40 (“My southern . . . irritated him”)
C
Lines 54-56 (“Day . . . slumber”)
D
Lines 61-62 (“I had . . . brother”)
Question 66 of 154   |  Craft and Structure  · Level 2
At the end of the second paragraph, the comparisons of abstract qualities to a lynx and a snake mainly have the effect of
Question image Question image Question image
A
contrasting two hypothetical courses of action.
B
conveying the ferocity of a resolution.
C
suggesting the likelihood of an altercation.
D
illustrating the nature of an adversarial relationship.
Question 67 of 154   |  Information and Ideas  · Level 2
The passage indicates that, after a long day of work, the narrator sometimes found his living quarters to be
Question image Question image Question image
A
treacherous.
B
dreary.
C
predictable.
D
intolerable.
Question 68 of 154   |  Information and Ideas  · Level 2
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 17-21 (“I should . . . scenes”)
B
Lines 21-23 (“I should . . . lodgings”)
C
Lines 64-67 (“Thoughts . . . phrases”)
D
Lines 68-74 (“I walked . . . gleam”)
Question 69 of 154   |  Craft and Structure  · Level 2
This passage is adapted from Iain King, “Can Economics Be Ethical?” ©2013 by Prospect Publishing. The passage examines different philosophical approaches to ethics in economics—judging consequences (Adam Smith and cost-benefit analysis), having the right character (Aristotle's virtues), and focusing on the actions themselves (a list of “dos” and “don'ts”)—before suggesting that behavioral economics and psychology might ultimately define ethics for us.
The main purpose of the passage is to
A
consider an ethical dilemma posed by cost-benefit analysis.
B
describe a psychology study of ethical economic behavior.
C
argue that the free market prohibits ethical economics.
D
examine ways of evaluating the ethics of economics.
Question 70 of 154   |  Information and Ideas  · Level 2
In the passage, the author anticipates which of the following objections to criticizing the ethics of free markets?
Question image Question image Question image
A
Smith's association of free markets with ethical behavior still applies today.
B
Free markets are the best way to generate high profits, so ethics are a secondary consideration.
C
Free markets are ethical because they are made possible by devalued currency.
D
Free markets are ethical because they enable individuals to make choices.
Question 71 of 154   |  Information and Ideas  · Level 2
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 4-5 (“Some . . . ethical”)
B
Lines 7-10 (“But . . . about”)
C
Lines 21-22 (“Smith . . . outcome”)
D
Lines 52-54 (“When . . . way”)
Question 72 of 154   |  Craft and Structure  · Level 2
As used in line 6, “embraced” most nearly means
Question image Question image Question image
A
lovingly held.
B
readily adopted.
C
eagerly hugged.
D
reluctantly used.
Question 73 of 154   |  Craft and Structure  · Level 2
The main purpose of the fifth paragraph (lines 45-56) is to
Question image Question image Question image
A
develop a counterargument to the claim that greed is good.
B
provide support for the idea that ethics is about character.
C
describe a third approach to defining ethical economics.
D
illustrate that one's actions are a result of one's character.
Question 74 of 154   |  Craft and Structure  · Level 2
As used in line 58, “clashes” most nearly means
Question image Question image Question image
A
conflicts.
B
mismatches.
C
collisions.
D
brawls.
Question 75 of 154   |  Information and Ideas  · Level 2
Which choice best supports the author's claim that there is common ground shared by the different approaches to ethics described in the passage?
Question image Question image Question image
A
Lines 11-12 (“There . . . decision”)
B
Lines 47-50 (“From . . . advertisements”)
C
Lines 59-64 (“Take . . . market”)
D
Lines 75-77 (“We . . . facts”)
Question 76 of 154   |  Information and Ideas  · Level 3
The main idea of the final paragraph is that
Question image Question image Question image
A
human quirks make it difficult to predict people's ethical decisions accurately.
B
people universally react with disgust when faced with economic injustice.
C
understanding human psychology may help to define ethics in economics.
D
economists themselves will be responsible for reforming the free market.
Question 77 of 154   |  Information and Ideas  · Level 3
Data in the graph about per-pound coffee profits in Tanzania most strongly support which of the following statements?
Question image Question image Question image
A
Fair trade coffee consistently earned greater profits than regular coffee earned.
B
The profits earned from regular coffee did not fluctuate.
C
Fair trade coffee profits increased between 2004 and 2006.
D
Fair trade and regular coffee were earning equal profits by 2008.
Question 78 of 154   |  Information and Ideas  · Level 3
Data in the graph indicate that the greatest difference between per-pound profits from fair trade coffee and those from regular coffee occurred during which period?
Question image
A
2000 to 2002
B
2002 to 2004
C
2004 to 2005
D
2006 to 2008
Question 79 of 154   |  Information and Ideas  · Level 3
Data in the graph provide most direct support for which idea in the passage?
Question image Question image Question image
A
Acting on empathy can be counterproductive.
B
Ethical economics is defined by character.
C
Ethical economics is still possible.
D
People fear losses more than they hope for gains.
Question 80 of 154   |  Information and Ideas  · Level 3
The author of Passage 1 indicates which of the following about the use of screen-based technologies?
Question image Question image Question image
A
It should be thoroughly studied.
B
It makes the brain increasingly rigid.
C
It has some positive effects.
D
It should be widely encouraged.
Question 81 of 154   |  Information and Ideas  · Level 3
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 3-4 (“Certain . . . Net”)
B
Lines 23-25 (“But . . . smarter”)
C
Lines 25-29 (“In a . . . ability”)
D
Lines 29-31 (“She . . . others”)
Question 82 of 154   |  Information and Ideas  · Level 3
The author of Passage 1 indicates that becoming adept at using the Internet can
Question image Question image Question image
A
make people complacent about their health.
B
undermine the ability to think deeply.
C
increase people’s social contacts.
D
improve people’s self-confidence.
Question 83 of 154   |  Craft and Structure  · Level 3
As used in line 40, “plastic” most nearly means
Question image Question image Question image
A
creative.
B
artificial.
C
malleable.
D
sculptural.
Question 84 of 154   |  Craft and Structure  · Level 3
The author of Passage 2 refers to the novel War and Peace primarily to suggest that Woody Allen
Question image Question image Question image
A
did not like Tolstoy’s writing style.
B
could not comprehend the novel by speed-reading it.
C
had become quite skilled at multitasking.
D
regretted having read such a long novel.
Question 85 of 154   |  Information and Ideas  · Level 3
According to the author of Passage 2, what do novelists and scientists have in common?
Question image Question image Question image
A
They take risks when they pursue knowledge.
B
They are eager to improve their minds.
C
They are curious about other subjects.
D
They become absorbed in their own fields.
Question 86 of 154   |  Craft and Structure  · Level 3
The analogy in the final sentence of Passage 2 has primarily which effect?
Question image Question image Question image
A
It uses ornate language to illustrate a difficult concept.
B
It employs humor to soften a severe opinion of human behavior.
C
It alludes to the past to evoke a nostalgic response.
D
It criticizes the view of a particular group.
Question 87 of 154   |  Craft and Structure  · Level 3
The main purpose of each passage is to
Question image Question image Question image
A
compare brain function in those who play games on the Internet and those who browse on it.
B
report on the problem-solving skills of individuals with varying levels of Internet experience.
C
take a position on increasing financial support for studies related to technology and intelligence.
D
make an argument about the effects of electronic media use on the brain.
Question 88 of 154   |  Craft and Structure  · Level 3
Which choice best describes the relationship between the two passages?
Question image Question image Question image
A
Passage 2 relates first-hand experiences that contrast with the clinical approach in Passage 1.
B
Passage 2 critiques the conclusions drawn from the research discussed in Passage 1.
C
Passage 2 takes a high-level view of a result that Passage 1 examines in depth.
D
Passage 2 predicts the negative reactions that the findings discussed in Passage 1 might produce.
Question 89 of 154   |  Craft and Structure  · Level 3
On which of the following points would the authors of both passages most likely agree?
Question image Question image Question image
A
Computer-savvy children tend to demonstrate better hand-eye coordination than do their parents.
B
Those who criticize consumers of electronic media tend to overreact in their criticism.
C
Improved visual-spatial skills do not generalize to improved skills in other areas.
D
Internet users are unlikely to prefer reading onscreen text to reading actual books.
Question 90 of 154   |  Reading  · Level 3
Which choice provides the best evidence that the author of Passage 2 would agree to some extent with the claim attributed to Michael Merzenich in lines 41-43, Passage 1?
Question image Question image Question image
A
Lines 51-53 (“Critics . . . brain”)
B
Lines 54-56 (“Yes . . . changes”)
C
Lines 57-59 (“But . . . experience”)
D
Lines 83-84 (“Media . . . consumes”)
Question 91 of 154   |  Information and Ideas  · Level 3
The central problem that Stanton describes in the passage is that women have been
Question image Question image Question image
A
denied equal educational opportunities, which has kept them from reaching their potential.
B
prevented from exerting their positive influence on men, which has led to societal breakdown.
C
prevented from voting, which has resulted in poor candidates winning important elections.
D
blocked by men from serving as legislators, which has allowed the creation of unjust laws.
Question 92 of 154   |  Craft and Structure  · Level 3
Stanton uses the phrase “high carnival” (line 15) mainly to emphasize what she sees as the
Question image Question image Question image
A
utter domination of women by men.
B
freewheeling spirit of the age.
C
scandalous decline in moral values.
D
growing power of women in society.
Question 93 of 154   |  Information and Ideas  · Level 3
Stanton claims that which of the following was a relatively recent historical development?
Question image Question image Question image
A
The control of society by men
B
The spread of war and injustice
C
The domination of domestic life by men
D
The acknowledgment of women’s true character
Question 94 of 154   |  Information and Ideas  · Level 4
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 3-7 (“The male . . . death”)
B
Lines 15-22 (“The male . . . century”)
C
Lines 22-25 (“Society . . . home”)
D
Lines 48-52 (“[M]an . . . repression”)
Question 95 of 154   |  Craft and Structure  · Level 4
As used in line 24, “rule” most nearly refers to
Question image Question image Question image
A
a general guideline.
B
a controlling force.
C
an established habit.
D
a procedural method.
Question 96 of 154   |  Information and Ideas  · Level 4
It can reasonably be inferred that “the strong-minded” (line 32) was a term generally intended to
Question image Question image Question image
A
praise women who fight for their long-denied rights.
B
identify women who demonstrate intellectual skill.
C
criticize women who enter male-dominated professions.
D
condemn women who agitate for the vote for their sex.
Question 97 of 154   |  Craft and Structure  · Level 4
As used in line 36, “best” most nearly means
Question image Question image Question image
A
superior.
B
excellent.
C
genuine.
D
rarest.
Question 98 of 154   |  Information and Ideas  · Level 4
Stanton contends that the situation she describes in the passage has become so dire that even men have begun to
Question image Question image Question image
A
lament the problems they have created.
B
join the call for woman suffrage.
C
consider women their social equals.
D
ask women how to improve civic life.
Question 99 of 154   |  Information and Ideas  · Level 4
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 25-30 (“No one . . . matters”)
B
Lines 53-55 (“And now . . . life”)
C
Lines 56-60 (“The need . . . action”)
D
Lines 61-64 (“We ask . . . nation”)
Question 100 of 154   |  Craft and Structure  · Level 4
The sixth paragraph (lines 67-78) is primarily concerned with establishing a contrast between
Question image Question image Question image
A
men and women.
B
the spiritual world and the material world.
C
bad men and good men.
D
men and masculine traits.
Question 101 of 154   |  Craft and Structure  · Level 4
The first paragraph serves mainly to
Question image Question image Question image Question image
A
explain how a scientific device is used.
B
note a common misconception about an event.
C
describe a natural phenomenon and address its importance.
D
present a recent study and summarize its findings.
Question 102 of 154   |  Craft and Structure  · Level 4
As used in line 19, “capture” is closest in meaning to
Question image Question image Question image Question image
A
control.
B
record.
C
secure.
D
absorb.
Question 103 of 154   |  Information and Ideas  · Level 4
According to Peacock, the ability to monitor internal waves is significant primarily because
Question image Question image Question image Question image
A
it will allow scientists to verify the maximum height of such waves.
B
it will allow researchers to shift their focus to improving the quality of satellite images.
C
the study of wave patterns will enable regions to predict and prevent coastal damage.
D
the study of such waves will inform the development of key scientific models.
Question 104 of 154   |  Information and Ideas  · Level 5
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image
A
Lines 1-2 (“Some . . . see”)
B
Lines 4-6 (“they . . . equipment”)
C
Lines 17-19 (“If . . . this”)
D
Lines 24-26 (“Internal . . . high”)
Question 105 of 154   |  Craft and Structure  · Level 5
As used in line 65, “devise” most nearly means
Question image Question image Question image Question image
A
create.
B
solve.
C
imagine.
D
begin.
Question 106 of 154   |  Information and Ideas  · Level 5
Based on information in the passage, it can reasonably be inferred that all internal waves
Question image Question image Question image Question image
A
reach approximately the same height even though the locations and depths of continental shelves vary.
B
may be caused by similar factors but are influenced by the distinct topographies of different regions.
C
can be traced to inconsistencies in the tidal patterns of deep ocean water located near islands.
D
are generated by the movement of dense water over a relatively flat section of the ocean floor.
Question 107 of 154   |  Information and Ideas  · Level 5
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image
A
Lines 29-31 (“Although . . . formed”)
B
Lines 56-58 (“As the . . . it”)
C
Lines 61-64 (“As these . . . shelf”)
D
Lines 67-70 (“Whereas . . . world”)
Question 108 of 154   |  Information and Ideas  · Level 5
In the graph, which isotherm displays an increase in depth below the surface during the period 19:12 to 20:24?
Question image
A
\(9^{\circ} C\)
B
\(10^{\circ} C\)
C
\(11^{\circ} C\)
D
\(13^{\circ} C\)
Question 109 of 154   |  Information and Ideas  · Level 5
Which concept is supported by the passage and by the information in the graph?
Question image Question image Question image Question image
A
Internal waves cause water of varying salinity to mix.
B
Internal waves push denser water above layers of less dense water.
C
Internal waves push bands of cold water above bands of warmer water.
D
Internal waves do not rise to break the ocean’s surface.
Question 110 of 154   |  Information and Ideas  · Level 5
How does the graph support the author’s point that internal waves affect ocean water dynamics?
Question image Question image Question image Question image
A
It demonstrates that wave movement forces warmer water down to depths that typically are colder.
B
It reveals the degree to which an internal wave affects the density of deep layers of cold water.
C
It illustrates the change in surface temperature that takes place during an isolated series of deep waves.
D
It shows that multiple waves rising near the surface of the ocean disrupt the flow of normal tides.
Question 111 of 154   |  Standard English Conventions  · Level 1
In recent years, public libraries in the United States have experienced [1] reducing in their operating funds due to cuts imposed at the federal, state, and local government levels.
A
NO CHANGE
B
reductions
C
deducting
D
deducts
Question 112 of 154   |  Expression of Ideas  · Level 1
[2] However, library staffing has been cut by almost four percent since 2008, and the demand for librarians continues to decrease, even though half of public libraries report that they have an insufficient number of staff to meet their patrons' needs.
A
NO CHANGE
B
Consequently,
C
Nevertheless,
D
Previously,
Question 113 of 154   |  Standard English Conventions  · Level 1
This trend, combined with the increasing accessibility of information via the Internet, [3] has led some to claim that librarianship is in decline as a profession.
A
NO CHANGE
B
have
C
which have
D
which has
Question 114 of 154   |  Expression of Ideas  · Level 1
The share of library materials that is in nonprint formats is increasing steadily. At this point, the writer is considering adding the following information. —e-books, audio and video materials, and online journals—
Should the writer make this addition here?
A
Yes, because it provides specific examples of the materials discussed in the sentence.
B
Yes, because it illustrates the reason for the increase mentioned later in the sentence.
C
No, because it interrupts the flow of the sentence by supplying irrelevant information.
D
No, because it weakens the focus of the passage by discussing a subject other than librarians.
Question 115 of 154   |  Expression of Ideas  · Level 1
The share of library materials that is in nonprint formats is increasing steadily; in 2010, at least 18.5 million e-books were available [5] for them to circulate.
A
NO CHANGE
B
to be circulated by them.
C
for their circulating.
D
for circulation.
Question 116 of 154   |  Standard English Conventions  · Level 1
As a result, librarians must now be proficient curators of electronic information, compiling, [6] catalog, and updating these collections.
A
NO CHANGE
B
librarians cataloging,
C
to catalog,
D
cataloging,
Question 117 of 154   |  Writing  · Level 2
Which choice most effectively combines the underlined sentences? "In fact, librarians' training now includes courses on research and Internet search methods. Many of whom teach classes in Internet navigation, database and software use, and digital information literacy."
A
In fact, librarians' training now includes courses on research and Internet search methods; many librarians teach classes in Internet navigation, database and software use, and digital information literacy is taught by them.
B
In fact, many librarians, whose training now includes courses on research and Internet search methods, teach classes in Internet navigation, database and software use, and digital information literacy.
C
Training now includes courses on research and Internet search methods; many librarians, in fact, are teaching classes in Internet navigation, database and software use, and digital information literacy.
D
Including courses on research and Internet search methods in their training is, in fact, why many librarians teach classes in Internet navigation, database and software use, and digital information literacy.
Question 118 of 154   |  Standard English Conventions  · Level 2
While these classes are particularly helpful to young students developing basic research skills, [8] but adult patrons can also benefit from librarian assistance in that they can acquire job-relevant computer skills.
A
NO CHANGE
B
and
C
for
D
DELETE the underlined portion.
Question 119 of 154   |  Expression of Ideas  · Level 2
Which choice most effectively sets up the examples given at the end of the sentence? "[9] Free to all who utilize their services, public libraries and librarians are especially valuable, because they offer free resources that may be difficult to find elsewhere, such as help with online job searches as well as résumé and job material development."
A
NO CHANGE
B
During periods of economic recession,
C
Although their value cannot be measured,
D
When it comes to the free services libraries provide,
Question 120 of 154   |  Craft and Structure  · Level 2

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
An overwhelming number of public libraries also report that they provide help with electronic government resources related to income taxes, [10] law troubles, and retirement programs.
Question image Question image Question image Question image
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 121 of 154   |  Expression of Ideas  · Level 2

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In sum, the Internet does not replace the need for librarians, and librarians are hardly obsolete. [11] Like books, librarians have been around for a long time, but the Internet is extremely useful for many types of research.
Question image Question image Question image Question image
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 122 of 154   |  Expression of Ideas  · Level 2
Passage: Tiny Exhibit, Big Impact. "The first time I visited the Art Institute of Chicago, I expected to be impressed by its famous large paintings. ___ I couldn't wait to view painter, Georges Seurat's, \(10\)-foot-wide A Sunday Afternoon on the Island of La Grande Jatte in its full size." Choose the best transition for the underlined portion.
A
NO CHANGE
B
For instance,
C
However,
D
Similarly,
Question 123 of 154   |  Standard English Conventions  · Level 2
"I couldn't wait to view ___ \(10\)-foot-wide A Sunday Afternoon on the Island of La Grande Jatte in its full size." Choose the best version of the underlined portion.
A
NO CHANGE
B
painter, Georges Seurat's
C
painter Georges Seurat's,
D
painter Georges Seurat's
Question 124 of 154   |  Standard English Conventions  · Level 2
"It took me by surprise, then, when my favorite exhibit at the museum was one of ___ the Thorne Miniature Rooms." Choose the best version of the underlined portion.
A
NO CHANGE
B
its tiniest;
C
its tiniest:
D
it's tiniest,
Question 125 of 154   |  Expression of Ideas  · Level 3
I marveled at a replica of a salon (a formal living room) dating back to the reign of French king Louis XV. At this point, the writer is considering adding the following sentence: "Some scholars argue that the excesses of King Louis XV's reign contributed significantly to the conditions that resulted in the French Revolution." Should the writer make this addition here?
A
Yes, because it provides historical context for the Thorne Miniature Rooms exhibit.
B
Yes, because it explains why salons are often ornately decorated.
C
No, because it interrupts the paragraph's description of the miniature salon.
D
No, because it implies that the interior designer of the salon had political motivations.
Question 126 of 154   |  Standard English Conventions  · Level 3
"The couch and chairs, in keeping with the style of the time, are characterized by elegantly curved arms and [legs] are covered in luxurious velvet." Choose the best version of the underlined portion [legs].
A
NO CHANGE
B
legs, the couch and chairs
C
legs and
D
legs,
Question 127 of 154   |  Expression of Ideas  · Level 3
The rooms and their furnishings were created to scale at \(\dfrac{1}{12}\)th their actual size, so that one inch in the exhibit correlates with one foot in real life. "A couch, for example, is seven inches long, and ___" Which choice gives a second supporting example that is most similar to the example already in the sentence?
A
NO CHANGE
B
a tea cup is about a quarter of an inch.
C
there are even tiny cushions on some.
D
household items are also on this scale.
Question 128 of 154   |  Writing  · Level 3
"The plainer rooms are more sparsely ___ Their architectural features, furnishings, and decorations are just as true to the periods they represent." Which choice most effectively combines the sentences at the underlined portion?
A
furnished by their
B
furnished, but their
C
furnished: their
D
furnished, whereas
Question 129 of 154   |  Writing  · Level 3
"...with a small sink and counter along one wall, a cast-iron wood stove and some hanging pots and pans against another wall, and ___" Which choice most closely matches the stylistic pattern established earlier in the sentence?
A
NO CHANGE
B
a small table is under the third wall's window.
C
the third wall has a window and small table.
D
the third wall has a small table against it and a window.
Question 130 of 154   |  Standard English Conventions  · Level 3
From a passage describing a visit to a museum. The underlined portion reads: "...one visitor remarking,..." Which choice is best?
Question image Question image Question image Question image
A
NO CHANGE
B
visitors remarking,
C
visitor remarked,
D
visitor remark,
Question 131 of 154   |  Standard English Conventions  · Level 3
Which choice most effectively and clearly conveys that the writing desk and its drawers were dotted with pin-sized knobs?
A
NO CHANGE
B
Another visitor, dotted with pin-sized knobs, noticed my fascination with a tiny writing desk and its drawers.
C
Another visitor dotted with pin-sized knobs noticed my fascination with a tiny writing desk and its drawers.
D
Another visitor noticed my fascination with a tiny writing desk and its drawers, dotted with pin-sized knobs.
Question 132 of 154   |  Expression of Ideas  · Level 3
Think about the previous passage as a whole. To make the passage most logical, paragraph 2 should be placed
Question image Question image Question image Question image
A
where it is now.
B
after paragraph 3.
C
after paragraph 4.
D
after paragraph 5.
Question 133 of 154   |  Standard English Conventions  · Level 3
Questions are based on a passage titled "Environmentalist Otters." The passage reads: "It has long been known that the sea otters living along the West Coast of North America help keep kelp forests in their habitat healthy and vital." Which choice is best?
A
NO CHANGE
B
living along the West Coast of North America, they help
C
that live along the West Coast of North America and help to
D
that live along the West Coast of North America, where they help
Question 134 of 154   |  Information and Ideas  · Level 3
The passage reads: "In fact, two years or less of sea otters can completely eliminate sea urchins in a coastal area (see chart)." Which choice offers an accurate interpretation of the data in the chart?
Question image
A
NO CHANGE
B
even two years or less of sea otter presence can reduce the sea urchin threat
C
kelp density increases proportionally as sea urchin density increases
D
even after sea otters were present for ten years or more, kelp density was still lower than sea urchin density
Question 135 of 154   |  Expression of Ideas  · Level 3
The passage reads: "Without sea otters present, nevertheless, kelp forests run the danger of becoming barren stretches of coastal wasteland known as urchin barrens." Which choice is best?
Question image Question image Question image
A
NO CHANGE
B
however,
C
hence,
D
likewise,
Question 136 of 154   |  Expression of Ideas  · Level 3
The passage reads: "The amount of carbon dioxide in the atmosphere has increased 40 percent." At this point, the writer is considering adding the following information: "since the start of the Industrial Revolution, resulting in a rise in global temperatures." Should the writer make this addition here?
Question image Question image Question image
A
Yes, because it establishes the relationship between the level of carbon dioxide in the atmosphere and global warming.
B
Yes, because it explains the key role sea otters, sea urchins, and kelp forests play in combating global warming.
C
No, because it contradicts the claim made in the previous paragraph that sea otters help keep kelp forests healthy.
D
No, because it mentions the Industrial Revolution, blurring the focus of the paragraph.
Question 137 of 154   |  Standard English Conventions  · Level 3
The passage reads: "A recent study by two professors at the University of California, Santa Cruz, Chris Wilmers and James Estes, suggests, that kelp forests protected by sea otters can absorb as much as twelve times the amount of carbon dioxide..." Which choice is best?
A
NO CHANGE
B
suggests—that
C
suggests, “that
D
suggests that
Question 138 of 154   |  Craft and Structure  · Level 3
The passage reads: "...as those where sea urchins are allowed to devour the kelp." Which choice is best?
A
NO CHANGE
B
dispatch
C
overindulge on
D
dispose of
Question 139 of 154   |  Standard English Conventions  · Level 3
The passage reads: "Like their terrestrial plant cousins, kelp removes carbon dioxide from the atmosphere..." Which choice is best?
A
NO CHANGE
B
they’re
C
its
D
it’s
Question 140 of 154   |  Standard English Conventions  · Level 3
The passage reads: "Scientists knew this but did not recognize how large a role they played in helping kelp forests to significantly decrease the amount of carbon dioxide in the atmosphere." Which choice is best?
A
NO CHANGE
B
how large a role that it played
C
how large a role sea otters played
D
that they played such a large role
Question 141 of 154   |  Expression of Ideas  · Level 4
Where is the most logical place in this paragraph to add the following sentence? "What Wilmers and Estes discovered in their study, therefore, surprised them."
Question image Question image Question image
A
After sentence 1
B
After sentence 3
C
After sentence 4
D
After sentence 5
Question 142 of 154   |  Standard English Conventions  · Level 4
Which choice best completes the sentence about the otter population?
Question image Question image Question image
A
NO CHANGE
B
increasing the otter population
C
the otters multiplying
D
having more otters than other locations
Question 143 of 154   |  Standard English Conventions  · Level 4
Which choice provides the most appropriate punctuation for the underlined portion?
Question image Question image Question image
A
NO CHANGE
B
or removed from,
C
or, removed from,
D
or removed, from
Question 144 of 154   |  Standard English Conventions  · Level 4
Planned obsolescence, a practice [34] products are designed to have a limited period of usefulness, has been a cornerstone of manufacturing strategy for the past 80 years.
A
NO CHANGE
B
from which
C
so that
D
whereby
Question 145 of 154   |  Standard English Conventions  · Level 4
Planned obsolescence, a practice at which products are designed to have a limited period of [35] has been a cornerstone of manufacturing strategy for the past 80 years.
A
NO CHANGE
B
usefulness—
C
usefulness;
D
usefulness
Question 146 of 154   |  Craft and Structure  · Level 4
This approach increases sales, but it also stands in [36] contrast to a time when goods were produced to be durable.
A
NO CHANGE
B
egregious
C
unmitigated
D
stark
Question 147 of 154   |  Expression of Ideas  · Level 4
It also reinforces the belief that it is easier to replace goods than to mend them, as repair shops are rare and [37] repair methods are often specialized. Which choice provides information that best supports the claim made by this sentence?
A
NO CHANGE
B
obsolete goods can become collectible items.
C
no one knows whether something will fall into disrepair again.
D
new designs often have “bugs” that must be worked out.
Question 148 of 154   |  Standard English Conventions  · Level 4
More like a [38] an actual café, the first Repair Café took place in Amsterdam, the Netherlands.
A
NO CHANGE
B
fair than
C
fare than
D
fair, then
Question 149 of 154   |  Standard English Conventions  · Level 5
It was the brainchild of former journalist Martine Postma, [39] to take a practical stand in a throwaway culture.
A
NO CHANGE
B
whom wants
C
who wanted
D
she wanted
Question 150 of 154   |  Expression of Ideas  · Level 5
Her goals were [40] reduce waste, maintain and perpetuate knowledge and skills, and strengthen community.
A
NO CHANGE
B
straightforward, therefore:
C
straightforward, nonetheless:
D
straightforward:
Question 151 of 154   |  Standard English Conventions  · Level 5
While [41] for service, patrons can enjoy coffee and snacks and mingle with their neighbors in need.
A
NO CHANGE
B
awaiting
C
they waited
D
waiting
Question 152 of 154   |  Expression of Ideas  · Level 5
To make this paragraph most logical, sentence 5 (“Since the inaugural Repair Café, others have been hosted in theater foyers, community centers, hotels, and auditoriums.”) should be placed
Question image Question image Question image Question image
A
where it is now.
B
before sentence 1.
C
after sentence 3.
D
after sentence 6.
Question 153 of 154   |  Expression of Ideas  · Level 5
Repair Cafés still raise awareness about what may otherwise be mindless acts of waste by providing a venue for people to share and learn valuable skills that are in danger of being lost. [43] At this point, the writer is considering adding the following sentence: “As the number of corporate and service-based jobs has increased, the need for people who work with their hands has diminished.” Should the writer make this addition here?
A
Yes, because it provides an example of specific repair skills being lost.
B
Yes, because it elaborates on the statistic about the Netherlands’ municipal waste.
C
No, because it blurs the paragraph’s focus by introducing a topic that is not further explained.
D
No, because it contradicts the claims made in the rest of the paragraph.
Question 154 of 154   |  Expression of Ideas  · Level 5
International Repair Cafés, all affiliated with the Dutch Repair Café via its website, have since arisen in France, Germany, South Africa, the United States, and other countries [44]
A
NO CHANGE
B
in addition.
C
likewise.
D
DELETE the underlined portion, and end the sentence with a period.

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Reference Sheet

Area & Circumference

Circle$A = \pi r^2$,  $C = 2\pi r$
Rectangle$A = lw$
Triangle$A = \tfrac{1}{2}bh$
Trapezoid$A = \tfrac{1}{2}(b_1+b_2)h$

Volume

Box$V = lwh$
Cylinder$V = \pi r^2 h$
Sphere$V = \tfrac{4}{3}\pi r^3$
Cone$V = \tfrac{1}{3}\pi r^2 h$
Pyramid$V = \tfrac{1}{3}lwh$

Triangles

Pythagorean Thm$a^2 + b^2 = c^2$
30-60-90sides: $1,\, \sqrt{3},\, 2$
45-45-90sides: $1,\, 1,\, \sqrt{2}$
Triangle Anglessum $= 180°$

Other Facts

Circle Degrees$360° = 2\pi \text{ rad}$
Exterior Angle= sum of non-adjacent interior angles

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is $2\pi$.

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