INTRODUCTION
This SAT ELITE bonus section provides dozens of tips and extra-hard challenge questions exclusively for those students who are working toward a perfect 1600 SAT score. It is designed to be used in conjunction with the SAT ELITE text. Here’s how to make the most out of this bonus section:
Step 1: Read the 25 Study Tips in this section and start your personal notebook or journal for SAT prep. Start your full-scale SAT prep at least 12 weeks prior to your first official SAT.
Step 2: Take the Diagnostic SAT in Chapter 2 strictly timed and in one sitting.
Step 3: Score the Diagnostic SAT and use the detailed answer key to pinpoint areas for review. Note which kinds of questions gave you trouble, and find the chapters and lessons in SAT ELITE that correspond to those skills. Record your results and study plan in your notebook or journal.
Step 4: Set aside 30 minutes per night to work through your study plan that includes (1) reading and annotating the lessons and completing the exercises in SAT ELITE you found in Step 3, (2) completing 2-3 challenge questions each day from this section and reviewing the detailed answer explanations, particularly the references to the relevant lessons in SAT ELITE, and (3) reviewing the 25 study tips as necessary to make sure you are staying on track. Keep track of your daily progress in your notebook or journal.
Step 5: Each week, complete one practice SAT from Chapter 10 of SAT ELITE or from the College Board website, strictly timed and in one sitting. The practice tests in SAT ELITE are “heavyweight” tests designed to be slightly more challenging than the real thing, but it’s also important to take “official” College Board practice tests every once in a while to get a realistic gauge of your progress and a solid sense of the SAT as it is officially administered. Record your results and thoughts in your notebook or journal. Whenever you encounter real problem spots or frustrations, talk to a friend, teacher, or tutor about how to break through them.
Step 6: Review the results of each practice SAT and revise your study plan accordingly as you approach your score goal. Write yourself encouraging notes when necessary, and stay faithful to your plan!
Consistency and confidence are the keys to success. It’s better to make a little progress each day than to cram once or twice a week. It’s also essential to use your setbacks wisely. Look at your mistakes as opportunities to improve and learn! Good luck!
Elite Questions for the SAT Reading Test
Question 1 is based on the following passage.
This passage is adapted from John Allen Paulos, Innumeracy ©1988 Hill and Wang, a division of Farrar, Straus and Giroux, LLC. Paulos is a mathematician discussing the role of mathematics in American culture.
Which choice best describes the developmental pattern of the passage?
A) A thorough examination of the potential solutions to a social problem
B) A humorous recounting of a meaningful personal experience
C) A sober examination of some potentially dangerous policies
D) A nontechnical discussion of a problematic way of thinking
Questions 2 and 3 are based on the following passage.
This passage is adapted from Cleveland Hickman, Larry Roberts, and Allan Larson, Integrated Principles of Zoology. ©2001 The McGraw-Hill Companies.
The question in lines 51–53 (“But with...that way?”) serves primarily to indicate
A) a refutation of a claim.
B) an experimental challenge.
C) a point of scientific confusion.
D) an intractable mystery.
In context, the idea presented in the final sentence (lines 58–61) most directly implies that
A) astrophysicists should be looking for life forms in other solar systems.
B) the analytical tools at the hands of scientists are becoming more powerful.
C) the origins of life are even deeper than we thought.
D) the molecules that define life are extraordinarily complex.
Questions 4 and 5 are based on the following passage and supplementary material.
This passage is adapted from John R. Skoyles and Dorion Sagan, Up from Dragons. ©2002 The McGraw-Hill Companies. Here, the authors discuss the evolution of human intelligence.
The main purpose of the passage is to
A) describe the unique features of Neanderthals.
B) explain the common origins of Neanderthals and Homo sapiens.
C) propose a theory about the origins of human language.
D) hypothesize about the dominance of one hominid species over another.
The central idea of the analogy presented in the final paragraph (lines 42–55) is that Neanderthals
A) were denied evolutionary pathways that were available to Homo sapiens.
B) were encumbered by their larger brains.
C) dominated other species with their superior physical strength.
D) were less articulate than Homo sapiens.
Question 6 is based on the following passage.
This passage is adapted from Reginald V. Kaplan, “Elements of Explanation.” ©2016 College Hill Coaching.
Which choice best describes the developmental pattern of the passage?
A) A summary of a historical debate followed by a discussion of its impact on science
B) The description of a useful mode of reasoning followed by caveats about its use
C) An examination of a peculiar phenomenon followed by a tentative explanation of it
D) The recognition of a common misconception followed by a formal refutation of it
Questions 7 and 8 are based on the following passage.
This passage is from Wassily Kandinsky, Concerning the Spiritual in Art. ©1997 Dover Publications. Reprinted by permission of Dover Publications. In this essay, Kandinsky (1866-1944), a Russian abstract painter, discusses the relationship between Primitivism, a movement to revive the art of ancient peoples, and Materialism, a movement that denies the existence or value of the spiritual realm.
The passage suggests that the Primitivist movement of Kandinsky’s era
A) was an inevitable reaction to the scourge of materialism.
B) was an important and enduring artistic movement.
C) succeeded only incidentally in replicating ancient art forms.
D) could create profound art only by respecting ancient Greek techniques.
Which choice provides the best evidence for the answer to the previous question?
A) Lines 7–10 (“In the same…for all time”)
B) Lines 27–30 (“Like…external form”)
C) Lines 35–38 (“The nightmare…yet past”)
D) Lines 44–46 (“This doubt…the Primitives”)
Elite Questions for the SAT Writing and Language Test
(Okay, this isn’t really an SAT Writing and Language question, but it’s an excellent exercise in parsing, which is an essential SAT Writing and Language skill.)
Believe it or not, the sequence of words below is a valid sentence, and no extra punctuation is required. Circle the main verb of the sentence.
Buffalo buffalo Buffalo buffalo buffalo buffalo Buffalo buffalo Buffalo buffalo buffalo.
Just when those who were observing the heart surgery assumed the worst, the surgeons themselves were most confident in its success.
A) NO CHANGE
B) they were
C) themselves are
D) are, themselves,
[1] Online conversations are unproductive and even toxic because they are poorly structured and incentivized. [2] They encourage us to accumulate “likes,” “shares,” “upvotes,” and “retweets” rather than build supportive relationships, solve problems, make sound arguments, influence leaders, or discover truths. [3] We send our thoughts into echo chambers, where like-minded people give us thumbs-up, instead of listening to opposing viewpoints that might expose potential flaws in our thinking or open us to new insights. [4] Within these comfort zones, we have no reason to understand or persuade people who don’t already share our views. [5] They promote “engagement” rather than empowered and critical thought.
To make this paragraph most logical, sentence 5 should be placed
A) where it is now.
B) immediately before sentence 1.
C) immediately after sentence 1.
D) immediately after sentence 3.
If market share would continue to grow on pace for the next four quarters, we will make our goal by next fiscal year.
A) NO CHANGE
B) continues
C) were to continue
D) had continued
Usually, low federal interest rates encourage businesses to take out more loans for capital investments. For example, if those businesses believe that gross demand for their goods or services is declining, they are likely to curb borrowing, even if interest rates are favorable.
A) NO CHANGE
B) However
C) Moreover,
D) As such,
Our principles can change, but these are often what motivate us: our experiences affect our priorities and deepest values.
A) NO CHANGE
B) experiences affect our priorities: our principles often motivate us and can change our
C) principles can change, and they are often what motivate us: our experiences affect our priorities and
D) principles are often what motivate us, but they can change: our experiences affect our priorities and
For decades, biologists have been trying to explore the genetic relationship between ancient humans and Neanderthals. However, they have lacked the technology to prevent the contamination of ancient DNA during the extraction process. Fittingly, the “clean room” at the Max Planck Institute has solved this problem, allowing scientists to examine minute bits of genetic material from 400,000 year-old hominid bones.
A) NO CHANGE
B) Fortunately,
C) In turn,
D) Accordingly,
Perhaps the most disappointing thing about the meeting was our agenda item was never even discussed.
A) NO CHANGE
B) they never even discussed our agenda item
C) that they would never even discuss our agenda item
D) that our agenda item was not even discussed
Although famous for its visual and performing arts scene, Portland’s musical culture is also a source of local pride.
A) NO CHANGE
B) famous for Portland’s visual and performing arts scene, its
C) Portland, being famous for its visual and performing arts scene, its
D) Portland is famous for its visual and performing arts scene, its
The works of absurdist playwrights such as Ionesco and Beckett exemplify the belief that plays need not rely on plot as a unifying element.
A) NO CHANGE
B) need not have to
C) don’t have the need to
D) have not to
At high altitudes, even more taxing than climbing without supplemental oxygen was we had to watch for avalanches.
A) NO CHANGE
B) we needed to watch
C) needing to have watched
D) having to watch
The call for new hearings delayed the judge’s confirmation vote, that fueled resentment among her supporters.
A) NO CHANGE
B) which
C) and this delay
D) this
Gina will be spending the night at a friend of her’s house.
A) NO CHANGE
B) her friends
C) her friend’s
D) a friend of hers
In Twenty Thousand Leagues Under the Sea, Jules Verne predicted the electric submarine, a device that would not be invented for another 90 years.
A) NO CHANGE
B) had not been invented
C) would not have been invented
D) will not be invented
He liked to make provocative comments in his speeches, but was unwilling to deal with the blowback that would inevitably derive.
A) NO CHANGE
B) pursue
C) advance
D) ensue
The reason that many distance runners fail to hit their marathon goals is because they don’t safeguard a steady pace throughout the race.
A) NO CHANGE
B) that they don’t perpetuate
C) that they don’t sustain
D) because they don’t prolong
Because they convey complex information in forms that are easy to recall, acronyms such as SOH-CAH-TOA serve to be effective mnemonic devices.
A) NO CHANGE
B) as
C) like
D) for
Our financial advisor strongly suggested that we be more consistent with our investments and even automate monthly transfers from our checking to our retirement account.
A) NO CHANGE
B) we are more consistent with our investments
C) our investments should be more consistent
D) our investments be more consistent
The focal point of Ms. Cullen’s home is artist Robert Blackburn’s woodcut, “Blue Things 1963–1970.”
A) NO CHANGE
B) Blackburn’s woodcut titled,
C) Blackburn’s, woodcut
D) Blackburn’s woodcut:
Elite Questions for the SAT Math Test - No Calculator
If a and b are real numbers, which of the following cannot equal 1?
A) 
B) 
C) 
D) 
Which of the following inequalities has no real solution?
A) 
B) 
C) 
D) 
If the graph of a line in the xy-plane contains the points (a, b) and (c, d) and has a slope of k, where k > 0, which of the following must be equiva lent to c?
A) 
B) 
C) 
D) 
The graph of line l in the xy-plane includes the point (–1, 4) and has a slope that is greater than 1 but less than 2. Which of the following points cannot be on the graph of line l ?
A) (1, 7)
B) (3, 11)
C) (5, 12)
D) (6, 10)
The graph above shows the final grade distributions for two classes of history students, on a scale of 0 to 5. If m1 and s1 are the mean and standard deviation, respectively, of the grades for Class 1, and m2 and s2 are the mean and standard deviation, respectively, of the grades for Class 2, which of the following statements is true?
A) m1 > m2 and s1 > s2
B) m1 < m2 and s1 > s2
C) m1 > m2 and s1 < s2
D) m1 < m2 and s1 < s2
A jar contains marbles of various colors. If the ratio of black marbles to white marbles is 9:14 and the ratio of white marbles to red marbles is 18:13, what is the least possible number of marbles in the jar?
A) 36
B) 54
C) 298
D) 324
If 
and k and p are both positive, which of the following expresses k in terms of p ?
A) 
B) 
C) 
D) 
The college destinations for 200 recently graduated students at C. E. Hughes High School are tabulated above, although some values are missing. According to these data, what fraction of these students who attend medium-sized colleges also attend public colleges?
A) 
B) 
C) 
D) 
f(x) = x2 – 6x + k
In the quadratic function above, k is a constant. If 9 is a zero of this function, what is the value of the other zero?
A) –15
B) –3
C) 3
D) 12
The function y = f(x) is defined by the graph above, which consists of three line segments in the xy-plane. For which of the following functions does g(3) = 0 ?
A) g(x) = f(x + 2)
B) g(x) = f(x – 2)
C) g(x) = f(x) + 2
D) g(x) = f(x) – 2
Which of the following quadratic functions, when graphed in the xy-plane, is a parabola with a vertex at (3, −4)?
A) y = (x + 3)(x – 4)
B) y = (x + 3)(x + 4)
C) y = (x – 2)(x – 4)
D) y = (x – 1)(x – 5)
What is the sum of the solutions of the equation above?
A) 
B) 
C) 
D) 
Which of the following represents all solutions to the inequality above?
A) x ≤ 0
B) 
C) x ≤ 1
D) x ≤ 2
In the xy-plane, the points (−3, 8) and (7, 6) are the endpoints of the diameter of a circle. Which of the following is the equation of this circle?
A) (x – 2)2 + (y – 7)2 = 48
B) (x – 7)2 + (y – 6)2 = 26
C) (x – 2)2 + (y – 7)2 = 26
D) (x – 7)2 + (y – 6)2 = 48
If ( x, y ) is a solution to the system above, what is the value of −5 x + 3 y ?
Given the inequalities above, what is the greatest possible value of a−b ?
For all x > 0, the graph in the xy-plane of the function above is a line passing through the point (2, 14). What is the value of b ?
The function g performs the following sequence of operations:
Step 1. Add 4.
Step 2. Increase this result by 50%.
Step 3. Add 12.
Step 4. Multiply by 2.
Step 5. Divide by 3.
Which of the following steps is equivalent to g ?
A) Step 2
B) Step 3
C) Step 4
D) Step 5
If 
and 
for all values of x, which of the following is equivalent to f(g(x)) ?
A) 4(x + 1)(x – 1)
B) 4x + 1
C) 4x – 1
D) 4(x – 1)
Newton’s Law of Universal Gravitation states that the gravitational force of attraction, Fg, in Newtons, between a body of mass m1 kilograms and a body of mass m2 kilograms that are separated by a distance of r meters is given by the equation above, where Gis a constant. Which of the following expres sions is equivalent to r ?
A) 
B) 
C) 
D) 
Note: Figure not drawn to scale.
In the figure above, point Elies on side 
of rectangle ABCD, as shown.
If 
, what is the value of BE?
If the equations above are true for all values of z, what is the value of (m + n)2?
A) 32
B) 54
C) 56
D) 64
The table above shows the values of the functions f, g, and h for certain values of x . If g(f(h(x))) = 6, what is one possible value of x ?
A) 2
B) 3
C) 4
D) 5
In the figure above, if ABCD is a parallelogram, what is the value of x ?
The median and the standard deviation is calculated for a set of 20 distinct positive numbers. If the greatest of these numbers is then increased by 10 and the least of these numbers is decreased by 20, and the new median and standard deviation is calculated for this new set of 20 numbers, which of the following is true about the new median and standard deviation?
A) The new median is the same as the previous one, but the new standard deviation is greater than the previous one.
B) The new median and the new standard deviation are both the same as the previous ones.
C) The new median is less than the previous one, and the new standard deviation is greater than the previous one.
D) There is not enough information to determine the relationship between the new median and standard deviation and the previous ones.
Which of the following is NOT equivalent to 2x + y for all values of xand y ?
A) 
B) (4x + 3y) – (2x + 2y)
C) 
D) 
How many distinct values of x are solutions to the equation x2 + 4 = −4x?
A) none
B) one
C) two
D) three
Which of the following sequences of operations, if applied to a positive number, is equivalent to decreasing the number by 10%?
A) increasing by 20%, then decreasing by 30%
B) decreasing by 90%, then multiplying by 9
C) dividing by 2, then increasing by 40%
D) adding 10, then multiplying by 0
Elite Questions for the SAT Math Test - Calculator
Janey purchased a laptop for 30% off its retail price. She also received an additional 15% discount on this purchase for opening a new credit card account at the store. If the discounted price of the laptop before she opened the new credit card account was $1,400, and there was no sales tax on this sale, what was the difference between Janey’s purchase price and the retail price of this laptop?
A) $600
B) $720
C) $810
D) $900
The distance traveled by Mars in one orbit around the Sun is about 1.43 billion kilometers. Mars makes one complete orbit around the Sun every 687 days. Which of the following is closest to the average speed of Mars, in meters per second, as it orbits the Sun?
A) 24
B) 2,400
C) 24,000
D) 240,000
At sea level, water boils at 100° C. For every increase of 1,000 meters above sea level, the boiling point of water drops by approximately 3.35° C. Which of the following equations gives the approximate boiling point of water, BP, in ° C, at x meters above sea level?
A) BP = 100 – 3.35x
B) BP = 100 – 0.00335x
C) BP = 3.35x – 100
D) BP = 100 – 1,000(3.35x)
A video-streaming service determines that if it increases its monthly service fee by m %, it will lose 
of its monthly customers, where 0 < m < 10.
What would be the expected percent increase in monthly revenue for this streaming service if it were to make this change?
A) 
B) 
C) 
D) 
The points A (10, 4) and B (−2, k ) are 13 units apart in the xy-plane. Which of the following equations could describe the line that contains points A and B ?
A) 13x + 12y = 178
B) 5x + 12y = 98
C) 5x – 12y = 98
D) 5x – 13y = –2
David’s favorite online game requires m megabytes of streaming data per hour, and he has a data plan that gives him g gigabytes of data per month. If 1 gigabyte is equivalent to 1,024 megabytes, what is the average number of minutes of gaming per day that David can play in a 30-day month without exceeding his data limit?
A) 
B) 
C) 2,048mg
D) 
If the equations above are graphed in the xy-plane, they intersect at two points, Aand B. What is the length of segment 
?
A) 
B) 
C) 
D) 
Which of the following graphs represents all solutions to the inequality above?
A) 
B) 
C) 
D) 
Manufacturing a certain airplane engine component requires 70 kilograms of aluminum and 25 kilograms of carbon fiber. A factory starts with Akilograms of aluminum and C kilograms of carbon fiber as raw material. If it manufactures n of these components and uses all of the aluminum but has x pounds of carbon fiber left over, which of the following systems of equations can be solved to find nand x ?
A) C = x + 25n
A = 70n
B) C = x – 25n
A = 70n
C) A = x + 70n
Cn = 25
D) A = x + 70n
C = 25 – n
If ( x, y ) is one possible solution to the system above, what is the value of y? (No calculator)
In a 2018 survey of the annual incomes of 20 top professional female athletes, 9 of them reported earning between $100,000 and $250,000 annually, 10 reported earning between $250,000 and $750,000 annually, and 1 athlete reported earning over $12,000,000 annually. Which of the following statements about these data must be true?
A) The average annual income of these 50 athletes is equal to their median annual income.
B) The average annual income of these 50 athletes is greater than their median annual income.
C) The average annual income of these 50 athletes is less than their median annual income.
D) The given information is insufficient to determine the relationship between the average and the median of these incomes.
A set of 120 numbers has a standard deviation of d . If every number in this set is increased by 10 and then multiplied by 2, which choice is closest to the standard deviation of this new set of numbers?
A) d
B) 2d
C) 2d + 10
D) 
y varies inversely as the square of x
w varies directly as the square root of x
If the relationships above hold for positive values of w, x, and y, which of the following could be an equation expressing the relationship between y and w ?
A) 
B) 
C) 
D) 
A chemist runs three trial reactions to determine how the concentrations of two reactants affect the rate of a particular chemical reaction. The table above shows the concentrations of the reactants, in grams per liter, and the rate of reaction, in grams of product per minute, for each trial. A reaction is “zero order” in a reactant if the rate of the reaction is unaffected by the concentration of that reactant. A reaction is “first order” in a reactant if the rate of the reaction varies directly as the concentration of that reactant. A reaction is “second order” in a reactant if the rate of reaction varies directly as the square of the concentration of that reactant. Which choice represents the best interpretation of these data?
A) This reaction is second order in both A and B.
B) This reaction is second order in A and first order in B.
C) This reaction is second order in A and zero order in B.
D) This reaction is first order in A and second order in B.
The formula above gives the kinetic energy of an asteroid with mass m and a velocity of v . An astronomer observes two asteroids about to collide with a distant rocky planet and wants to compare the energies of their impacts. If asteroid A has 6 times the mass of asteroid B, but only 25% the velocity of asteroid B, what is the ratio of the kinetic energy of asteroid A to that of asteroid B?
A) 3:16
B) 3:8
C) 3:2
D) 24:1
If a “kent” and a “strone” are each units of length such that 5 kents is equivalent to 3 strones, how many cubic kents are there in 1 cubic strone?
A) 
B) 
C) 
D) 
Ali drove to a job interview at an average speed of 45 miles per hour and returned home along the same route at an average speed of 30 miles per hour. If her total driving time for the round trip was 2 hours, how many minutes did it take Ali to drive to the job interview?
If x is 0.06% of 1,000, what is 20% of x % of 1,000?
A) 0.012
B) 0.12
C) 1.2
D) 12.0
In the first 5 games of the season, a basketball player takes 100 shots and makes n of them. In her next 12 games, she takes 200 shots and her shot efficiency increases by 20% from that of the first five games. If she made 51% of her shots over the first 17 games, what is the value of n ?
A graphic designer enlarges the area of a rectangular JPEG image from 3 square centimeters to 192 square centimeters, keeping all lengths proportional. If the diagonal of the original JPEG image is 3 centimeters long, what is the length, in centimeters, of the diagonal of the enlarged JPEG image?
A) 192
B) 64
C) 24
D) 8
According to the table above, xand y can have any of the following relationships EXCEPT
A) linear (y = ax + b).
B) exponential (y = abx).
C) quadratic (y = ax2 + bx + c).
D) cubic (y = ax3 + bx2 + cx + d).
According to the graph, in the first 6 minutes, how many times greater was the average rate of growth of Culture A than the average rate of growth of Culture B?
A) 2.0
B) 3.2
C) 4.0
D) 4.5
The “divergence point” of the two cultures is defined as the point in time when the ratio between the rate of growth of the faster-growing culture and the rate of growth of the slower-growing culture reaches a maximum. Based on the graph, when does the divergence point for these two cultures occur?
A) between 3 and 5 minutes
B) between 5 and 6 minutes
C) between 6 and 8 minutes
D) between 8 and 10 minutes
According to the graphs above, by what percent did the total annual U.S. consumption of coal energy decline from 1990 to 2017?
A) 13%
B) 28%
C) 33%
D) 48%
If violent crimes per capita in the U.S. had continued to increase from 1993 to 2013 at the same average rate that they had increased from 1963 to 1993, what would have been the expected incidence of violent crime per million capita in the U.S. in 2013?
A) 380
B) 950
C) 1,150
D) 11,500
6x2 + 4x = 7
Which of the following best describes the solutions of the equation above?
A) 2 positive real numbers
B) 2 negative real numbers
C) 1 positive real number and 1 negative real number
D) 2 complex conjugates
If the function f is defined by the equation , then for what function g is f(g(x)) = x for all real values of x ?
A) 
B) 
C) 
D) 
Questions 83 and 84 are based on the graph below.
The graph of the function y = h(x) consists of two line segments connecting the points (−3, −3), (1, −1), and (5, 7), as shown above.
Which of the following functions, when graphed in the xy-plane, has an x-intercept of 4?
A) y = h(x + 2.5)
B) y = h(x – 5)
C) y = h(x) – 5
D) y = h(x) + 5.5
For what value of x is h(h(x) + 1) = 2 ?
If the equation above is true for all real values of x, and bis a constant, what is the value of b?
p(t) = at2 + 32
In the function above, prepresents the population of cells in a culture thours after the first cells have been introduced, where a is a constant and 0 < t< 10. If there are 284 cells in the culture after 2 hours, how many will there be after 3 hours?
A) 316
B) 572
C) 599
D) 639
Which of the following equations has the same solutions as 3x2 + 6x − 12 = 0 ?
A) (x + 2)2 = 5
B) (x + 1)2 = 5
C) (x – 2)2 = 5
D) (x – 1)2 = 5
4x2 + kx − 21
In the expression above, k is a constant and xcan be any real number. If this expression equals 0 when x = 3.5, what is the least possible value of this expression?
A) –30
B) –25
C) –23
D) –21
2x5 + 8x4−kxy−20y
If x + 4 is a factor of the expression above, and k is a constant, what is the value of k ?
How many distinct ordered pairs (x, y) satisfy the system of equations above?
A) none
B) one
C) two
D) four
If 
, what is the value of n ?
If k is a constant and 
is true for all values of x, what is the value of k ?
The efficiency, e, in manufactured units per day, of a wind turbine manufacturing plant increases with the number of workers, n, on the assembly line, where n > 10, according to the function e (n) shown above. The plant hires an efficiency expert, who claims that this efficiency can be increased according to the function e* (n). Which of the following indicates the percent increase in efficiency of e* (n) over e (n) as a function of n?
A) 
B) 
C) 
D) 
The figure above shows three overlapping rectangular pieces of tape. What is the value of x ?
A) 132
B) 135
C) 138
D) 158
The graph of the function h, defined by 
, is shown in the xy-plane above. If the secant line connecting ( k, h ( k )) and (9, h (9)) has a slope of −1, which of the following is true about k ?
A) 0 < k < 1
B) 1 < k < 2
C) 2 < k < 3
D) k > 3
x2 + 6x + y2 – 4y – 12 = 0
The equation above represents a circle in the xy- plane. What is the circumference of this circle?
A) 5π
B) 10π
C) 20π
D) 25π
The square above has an area of 4 and is circumscribed by a circle. What is the sum of the areas of the shaded regions?
A) 2(π – 4)
B) 2(π – 2)
C) π – 4
D) π – 2
Note: Figure not drawn to scale.
In the figure above, if B C = 10, what is the area of triangle A E C?
A) 18
B) 20
C) 24
D) 36
If xand z are radian measures where 
, and if sin x = aand sin z = -a, which of the following could represent the value of z in terms of x ?
A) π – x
B) x – π
C) 2π + x
D) 
If i2 = −1 and in+1 = 1, where n > 10, what is the remainder when 6 n is divided by 4 ?
A) 0
B) 1
C) 2
D) 3