Questions and Answers of McGraw-Hill Education SAT 2017

The narrator characterizes Reverend Jansen primarily as A) An aloof scholar. B) A fierce taskmaster. C) A sympathetic caregiver. D) A patronizing figure.
The narrator’s description of the reverend’s “eyes” and “breath” in lines 15–16 primarily convey a sense of A) Empathy. B) Detachment. C) Geniality. D) Severity
The narrator’s statement that her mother “had been murdered” (line 2) is best taken to mean that A) Her mother was killed by a negligent driver. B) The reputation of her mother had
If the author of Passage 2 were to use the data in the graph to support his main thesis, he would most likely mention A) The general decline in total farm subsidies from 2005 to 2012. B)
The Great Pyramid in Giza, Egypt, has a height of 140 meters and a volume of 2.6 million cubic meters. If a scale model of the Great Pyramid is to be built that is 2 meters high, what will be the
The diagram above shows a hexagon with all sides congruent and all angles congruent. What is the value of k? 0 у (3, 0) P(9, k) (9, 0) Xx
What is the degree measure, to the nearest whole degree, of an angle that measures 5.6 radians?
If the author of Passage 1 were to use the data in the graph to support his main thesis, he would most likely mention A) The general decline in total farm subsidies from 2005 to 2012. B)
Passage 1 mentions the results of the 2009 poll (lines 40–43) primarily to A) Confirm a general sentiment. B) Refute a misconception. C) Change the focus of the discussion. D)
If B(3 + i) = 3 - i, what is the value of B? D) C) B) A) 354|50|07| co 07/09 + + 36353 4535
In the figure above, what is the perimeter of quadrilateral ABCO, to the nearest integer? O y AA(3, 15) B(10, 12) C(10, 2) X
Unlike Passage 1, Passage 2 emphasizes the danger of A) Corrupt political officials. B) Sudden changes in commodity prices. C) Competition in international markets. D) Onerous
Which of the following provides the strongest evidence for the answer to the previous question? A) Lines 16–18 (“Because of . . . wheat prices”) B) Lines 21–24 (“To prevent this .
The author of Passage 1 believes that the GAO report “probably won’t” (line 9) horrify lawmakers because A) The report indicates that farm subsidies are not as harmful as many
Which of the following equations represents a circle in the xy-plane that intersects the x-axis at (3, 0) and (9, 0)? A) (x-6)² + (y-4)² = 25 B) (x-3)2+(y - 9)² = 25 C) (x-6)² + (y-4)² =
In the figure above, what is the distance between the midpoints (not shown) of the two line segments? 0 у (3, 13) (3,5) (12, 13) (18,5) X
What is the area of square ABCD? In the xy-plane, ABCD is a square. Point A has coordinates (-1, 2) and point B has coordinates (3, 5). A) 25 B) 28 C) 30 D) 32
The first sentence of Passage 1 refers primarily to the author’s belief that A) The American government is not doing enough to help small farmers. B) Some American farmers are violating
Both passages acknowledge the effectiveness of U.S. farm subsidies in A) Stabilizing commodity prices. B) Expanding American exports. C) Assisting smaller farms. D) Increasing
Which of the following could be the coordinates of C? In the xy-plane, ABCD is a square. Point A has coordinates (-1, 2) and point B has coordinates (3, 5). A) (0, 9) B) (6, 0) C)
Lines l and m are parallel in the figure above. Which of the following expresses the value of y in terms of x? A) 95 - 2x B) 165 - 2x C) 175 - 2x D) 185 - 2x (x + 5)° xo yo 1 m
What is the greatest possible value of f if f(x)= 8 sin 2x 2 1 2 ?
If (sin x - cos x)2 = 0.83, what is the value of (sin x + cos x)2?
If im = -i, which of the following CANNOT be the value of m?A) 15 B) 18 C) 19 D) 27
What is the length of the longest line segment that connects two vertices of a rectangular box that is 6 units wide, 4 units long, and 2 units tall? A) √12 D) √58 B) √48 C) √56
If sin θ A) I B) II C) III D) IV II III y O I IV X
What is the area, in square inches, of a circle with diameter 6π2 inches? A) 9¹ B) 95 C) 364 D) 365
In the figure above, what is the value of a + b + c? 9⁰° 240° bº со
Lines l and m are parallel in the figure above. What is the value of x? 87° 40° m
Which of the following expressions is equal to (2 + 2i)2?A) 0 B) 4i C) 8i D) 4 - 4i
A cereal company sells oatmeal in two sizes of cylindrical containers. The radius of the larger container is twice that of the smaller, and the height of the larger container is 50% greater than the
Given the system above, what is the value of a + b? 1 a 1 a 1 b = 2 1 + == 8 b
For how many distinct integer values of n A) Zero B) One C) Two D) Three. is n+5 n+2 ->2? V
The “range” of a set of data is defined as the absolute difference between the least value and the greatest value in the set. Four positive integers have an average (arithmetic mean) of 7.5. a.
What is one possible value for x such that 0
If 2a2 + 3a - 5a2 = 9, what is the value of a - a2?
If 2x = 10, what is the value of 5(22x) + 2x?
If a train travels at a constant rate of 50 miles per hour, how many minutes will it take to travel 90 miles?
If (200)(4,000) = 8 × 10m, what is the value of m?
What number is 150% of 30?
If 9x = 25, what is the value of 3x-1? A) 3 25 B) 5 | دن 3 C) 25 3 D) 24
If (x + 2)(x + 4)(x + 6) = 0, what is the greatest possible value of 1/2x?
If (xm)3(xm+1)2 = x37 for all values of x, what is the value of m?
The square root of a certain positive number is twice the number itself. What is the number? A) 1 8 B) 1 O D) S
In the figure above, if n > 1, which of the following expresses x in terms of n? 1 √n X u
Which of the following is equivalent to 3m + 3m + 3m for all positive values of m?A) 3m+1 B) 32m C) 33m D) 33m+1
If x is a positive number and 5x = y, which of the following expresses 5y2 in terms of x?A) 52x B) 52x+1 C) 53x D) 252x
If 3x + 2y = 72, and y = 3x, what is the value of x?
(1 − (1 − (1 − 2))) − (1 − (1 − (1 − 3))) =
What positive number is twice as far from 10 as it is from 1?
If 2a − 7b = 10 and 2a + 7b = 2, what is the value of 4a2 − 49b2?
If the points (2, a) and (14, b) are 20 units apart, what is |a − b|?
If the lines 4x + 5y = 13 and 4y + kx = 2 are parallel, what is the value of k?
If |x + 4| = |x − 5|, what is the value of x?
If the lines 4x + 5y = 13 and 6y − kx = 6 are perpendicular, what is the value of k?
If ab = −4 and abc = 12, what is the value of c/ab ?
If (b + 2)2 = (b − 5)2, what is the value of b?
If a and b are constants and the graphs of the lines 2x − 3y = 8 and ax + by = 2 are perpendicular, then what is the value of 3a/b ?
If 2y = x + 1 and 4x + 6y = 0, then y =
Based on the system of equations above, what is the value of 3x + y? A) −2 B) 0 C) 2 D) 4 5x - y = 11 2x - 2y = 9
Which of the following statements is equivalent to the statement −4 A) B) C) D) x>-2 and x ≤ 1 x < -2 or x ≥ 1 x2-2 and x < 1 x -2 or x > 1
The annual profit from the sales of an item is equal to the annual revenue minus the annual cost for that item. The revenue from that item is equal to the number of units sold times the price per
Two numbers have a difference of 4 and a sum of −7. What is their product?A) −33 B) −10.25 C) 8.25 D) 10.25
It costs Emma p dollars to make each of her custom bracelets, which she sells for m dollars apiece. She makes a profit of $60 if she makes and sells 5 of these bracelets, but she only makes a profit
For what value of k does the system of equations above have at least one solution?
If a
Based on the system of equations above, what is the value of 4m + 4n? 7m + 10n = 7 6m +9n = 1
At the beginning of the week, the ratio of cats to dogs at Glenna’s Pet Store was 4 to 5. By the end of the week, the number of cats had doubled, while the number of dogs had increased by 12. If
Jenny originally had twice as many friendship bracelets as Emilie. After Jenny gave Emilie 5 of her friendship bracelets, Jenny still had 10 more than Emilie. How many friendship bracelets did Jenny
The average (arithmetic mean) of x and y is 14. If the value of x is doubled and the value of y is tripled, the average (arithmetic mean) of the two numbers remains the same. What is the value of x?
Which of the following is true for all real values of x? A) |x|> 0 B) x < 2 orx>1 C) x>-2 orx < -3 D) x² - 1>0
Which of the following pairs of equations has no solution in common? A) 2x − 3y = 1 and 6x − 9y = 3 B) y = 4x and y = −4x C) 2x − 3y = 1 and 6x − 9y = 2 D) y = 4x and 2y
Which of the following equations best expresses the population, P, of bacteria culture A, as a function of t, in minutes? A) P = 200t + 520 B) P = 520(1.4)t C) P = 2,000(t − 0.5)2 D) P = 520t +
Nuclear energy and renewable energy are often grouped together in the category “non-greenhouse” energy. In 1970, approximately what percent of non greenhouse energy was nuclear? A) 0.4% B)
From 1970 to 1990, the average annual rate of decline in preschool blood lead levels, in mcg/dL per year, was approximately.A) 1 B) 5 C) 15 D) 17 PRESCHOOL BLOOD LEAD LEVELS VS. VIOLENT CRIME
If y = Ax3 and y = 108 when x = 3, then for what value of x does y = 62.5?
Three numbers, a, b, and c, are all positive. If b is 30% greater than a, and c is 40% greater than b, what is the value of c/a ?
In the four years shown, what percent of the total energy consumed was due to non-nuclear renewables? A) 5.6% B) 6.8% C) 7.4% D) 7.9% 1950 1970 1990 2010 U.S. ENERGY CONSUMPTION (Quadrillion BTU
If a cyclist races at 30 miles per hour for 1/2 of the distance of a race, and 45 miles per hour for the final 1/2 of the distance, what is her average speed, in miles per hour, for the entire race?
The median of 11 consecutive integers is 28. What is the least of these integers?
Which of the following five-year spans saw the greatest percent increase in violent crime? A) 1963–1968 B) 1968–1973 C) 1973–1978 D) 1978–1983 PRESCHOOL BLOOD LEAD LEVELS VS. VIOLENT
In 2010 what percent of non-greenhouse energy consumption was nuclear? A) 9% B) 29% C) 49% D) 51% 1950 1970 1990 2010 U.S. ENERGY CONSUMPTION (Quadrillion BTU (QBTU)) Fossil Nuclear
Which of the following 10-year spans saw the greatest percent increase in preschool blood lead levels? A) 1945–1955 B) 1955–1965 C) 1965–1975 D) 1975–1985 PRESCHOOL BLOOD LEAD LEVELS VS.
The cost of a pack of batteries, after a 5% sales tax, is $8.40. What was the price before tax, in dollars?
If the price of a sweater is marked down from $80 to $68, what is the percent discount? (Ignore the % symbol when gridding.)
If b varies inversely as a, and b = 0.5 when a = 32, then for how many ordered pairs (a, b) are a and b both positive integers?
Five different integers have an average (arithmetic mean) of 10. If none is less than 5, what is the greatest possible value of one of these integers?
Traveling at 40 miles per hour, Diego can complete his daily commute in 45 minutes. How many minutes would he save if he traveled at 50 miles per hour?
If a printer can print 5 pages in 20 seconds, how many pages can it print in 5 minutes?
The percent decline in violent crime from 1993 to 2013 is closest to A) 11% B) 35% C) 47% D) 88% PRESCHOOL BLOOD LEAD LEVELS VS. VIOLENT CRIME RATES IN THE UNITED STATES (23-Year Lag) Average
From 1970 to 1990, the percent increase in the U.S. consumption of nuclear energy was closest to A) 96% B) 240% C) 2,400% D) 3,400% 1950 1970 1990 2010 U.S. ENERGY CONSUMPTION (Quadrillion BTU
In a pie graph representing total U.S. energy consumption in 2010, the sector representing non nuclear renewables would have a central angle measuring approximately A) 8° B) 12° C) 24° D) 30°
Janice can edit 700 words per minute and Edward can edit 500 words per minute. If each page of text contains 800 words, how many pages can they edit, working together, in 20 minutes?
Four positive integers have a mode of 4 and a median of 3. What is their sum?
A hare runs at a constant rate of a miles per hour, and a tortoise runs at a constant rate of b miles per hour, where 0 A) B) C) D) a+b 2d ad - bd ab b-a d ab-bd ad
In 1970 the average preschool blood lead level, in mcg/dL, was closest to A) 10 B) 12 C) 23 D) 25 PRESCHOOL BLOOD LEAD LEVELS VS. VIOLENT CRIME RATES IN THE UNITED STATES (23-Year Lag) Average
According to the graph above, in 1970 the number of violent crimes per 100,000 capita in the United States was closest toA) 25 B) 375 C) 700 D) 750 PRESCHOOL BLOOD LEAD LEVELS VS. VIOLENT CRIME
If 50% of the budget for Federal Pensions were to be reallocated as Social Security expenses, the size of the Social Security budget would increase by what percent? A) 1.75% B) 8.75% C) 17.75% D)
A pool that holds 20,000 gallons is ¼ full. A pump can deliver g gallons of water every m minutes. If the pumping company charges d dollars per minute, how much will it cost, in dollars, to fill the
To make a certain purple dye, red dye and blue dye are mixed in a ratio of 3:4. To make a certain orange dye, red dye and yellow dye are mixed in a ratio of 3:2. If equal amounts of the purple and

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