Questions and Answers of McGraw-Hill Education SAT 2017

If x > 0 and x4 - 9x3 - 22x2 = 0, what is the value of x?
If g(f(x)) = -1, what is the value of x + 10? y = f(x) y = g(x) y 1 X
If f(k) + g(k) = 0, what is the value of k? y = f(x) y = g(x) y 1 X
If f(a) = g(a), where a 0, what is the value of a + b? y = f(x) y = g(x) y 1 X
If (2x - 1)(x + 3) + 2x = 2x2 + kx - 3 for all values of x, what is the value of k?
When y = 5(x - 3.2)(x - 4.6) is graphed in the xy-plane, what is the x-coordinate of the vertex?
If b2 + 20b = 96 and b > 0, what is the value of b + 10?
Let h(x) = f(x) × g(x). What is the maximum value of h(x) if -3 ≤ x ≤ 3? y = f(x) y = g(x) y X
Given the system of equations above, which of the following could be the value of m + n? A) -7 B) -2 C) 1 D) 2 m² + 2n = 10 2m² + 2n 14 =
Which of the following equations has no real solutions? A) x²-3x+2=0 B) x²3x2=0 C) x² + 2x-3=0 D) x² + 2x +3=0
The graph of y = f(x) in the xy-plane is a parabola with vertex at (3, 7). Which of the following must be equal to f(-1)? A) F(2).B) F(4). C) F(7). D) F(15).
Which of the following functions, when graphed in the xy-plane, has two positive x-intercepts and a negative y-intercept? A) Y = -2(x - 1)(x + 5) B) Y = -2(x + 3)2 C) Y = -2(x -
The graph of the function y = a(x + 6)(x + 8) has an axis of symmetry at x = k. What is the value of k? A) -7 B) -6 C) 7 D) 8
The graph of the quadratic function y = f(x) in the xy-plane is a parabola with vertex at (6, -1). Which of the following must have the same value as the y-intercept of this graph? A)
If f(−1) = 1 and f(3) = 2 and f is a linear function, what is the slope of the graph y = f(x)?
If f(−1) = 1 and f(3) = 2 and f is a linear function, what is f(5)?
In a poker game, a blue chip is worth 2 dollars more than a red chip, and a red chip is worth 2 dollars more than a green chip. If 5 green chips are worth m dollars, then which of the following
A train travels at an average speed of 50 miles per hour for the first 100 miles of a 200-mile trip, and at an average of 75 miles per hour for final 100 miles. What is the train’s average speed
What is the slope of the line that contains the points (−2, 3) and (4, 5)?
The figure above shows a right triangle with vertices at the origin, (5, 6) and (k, 0). What is the value of k? 0 у (5, 6) (k, 0)
If 6 gricks are equivalent to 5 merts, then 2 merts are equivalent to how many gricks?
If x − 2(1 − x) = 5, what is the value of x?
If bag A weighs 4 pounds 5 ounces and bag B weighs 6 pounds 2 ounces, how much heavier, in ounces, is bag B than bag A? (1 pound = 16 ounces).
What is the y-intercept of the line containing the points (3, 7) and (6, 3)?
Four consecutive even numbers have a sum of 76. What is the greatest of these numbers?
If 5d + 12 = 24, then 5d − 12 =
In the equation above, a and b are constants. If the equation is true for all values of x, what is the value of b?A) −27 B) −12 C) 12 D) 27 (x-9)(x-a)=x²-4ax + b
If a train maintains a constant speed of 60 miles per hour, it can travel 4 miles per gallon of diesel fuel. If this train begins a trip with a full 200 gallon tank of diesel fuel, and maintains a
If a factory can manufacture b computer screens in n days at a cost of c dollars per screen, then which of the following represents the total cost, in dollars, of the computer screens that can be
Line l is perpendicular to the line described by the equation 5x + 11y = 16. What is the slope of line l?
Line l has a slope of 3 and a y-intercept of -4. What is its x-intercept?
The product of x and y is 36. If both x and y are integers, then what is the least possible value of x − y? A) −37 B) −36 C) −35 D) −9
The difference of two numbers is 4 and their sum is 14. What is their product?
If 3x2 + 2x = 40, then 15x2 + 10x =
Ellen is currently twice as old as Maria, but in 6 years, Maria will be 2/3 as old as Ellen. How old is Ellen now?
The points A(2, 3) and B(m, 11), are 10 units apart. Which of the following equations could describe the line that contains points A and B?A) 8x + 6y = 11 B) 8x − 6y = −2 C) 6x + 8y =
If x + y − 1 = 1 − (1 − x), what is the value of y?
Three years ago, Nora was half as old as Mary is now. If Mary is four years older than Nora, how old is Mary now?
Let m be a positive real number. Increasing m by 60% then decreasing the result by 50% is equivalent to dividing m by what number?
What is the sum of the first 50 positive even integers?
The equation above is true for which of the following values of p? (p + 2)2 = (p − 5)2A) −2 and 5 B) 2 and −5 C) 1.5 only D) 5 only
If three candy bars and two gumdrops cost $2.20, and four candy bars and two gumdrops cost $2.80, what is the cost, in dollars, of one gumdrop?
Which of the following is equivalent to 5x(2x × 3) − 5x2 for all real values of x? A) 5x2 + 15x B) 25x2 C) 5x2 − 15x D) 10x2 × 15x − 5x2
If the line 3x − 2y = 12 is graphed in the xy-plane, what is its x-intercept?
If the graphs of the equations 5x − 2y = 5 and 6x + ky = 9 are perpendicular, what is the value of k?
The table above shows several ordered pairs corresponding to the linear function f. What is the value of a + b? A) 12 B) 16 C) 20 D) It cannot be determined from the information given.
Which of the following is equivalent to 3m(m2 × 2m) for all real values of m?A) 3m2 + 6m B) 3m2 × 6m C) 3m3 × 6m2 D) 6m4
On a typical day, a restaurant sells n grilled cheese sandwiches for p dollars each. Today, however, the manager reduced the price of grilled cheese sandwiches by 30% and as a result sold 50% more of
If the cost of living in a certain city increased by 20% in the 10 years from 1980 to 1990, and increased by 50% in the 20 years from 1980 to 2000, what was the percent increase in the cost of living
The net profit for the sales of a product is equal to the total revenue from the sales of that product minus the total cost for the sales of that product. If a particular model of calculator sells
Which of the following best exemplifies the “truth” mentioned in line 18? A) Many great artists find it difficult to achieve renown in their own lifetimes. B) Painters and musicians
The author of Passage 2 would most likely suggest that the discussion of “life on Earth” (line 1) in Passage 1 also include mention of a) Atypical sources of energy b) Long extinct life
The first paragraph characterizes the “march of human intellectual progress” as A) Halting B) Inspirational C) Misguided D) Controversial.
Which question posed in Passage 1 most directly concerns the author of Passage 2? A) Lines 3–5 (“How does photosynthesis . . . molecules?”) B) Lines 5–8 (“What is the structure .
The passage is primarily concerned with A) The obstacles to a particular undertaking B) The motivation for a specialized practice C) The origins of a philosophical debate D) A
The first paragraph is notable primarily for its use of A) Euphemism B) Understatement C) Metaphor D) Anecdote
In the first sentence, the contrast between “child” and the “mother” is primarily one of A) Immaturity versus maturity. B) Creation versus creator. C) Disobedience versus
In line 3, “mechanistic” most nearly means A) Unemotional. B) Automatic.C) Complex.D) Scientific.
The questions in lines 3–10 represent a) Points of scientific controversy b) Sources of frustration to biologists.c) Areas of productive inquiry. d) Inspirations for recent
In line 14, “aspect” most nearly means A) Particular feature B) Individual perspective C) Degree of feeling D) Facial expression.
To the author, the examples in lines 16–18 (“we have brains . . . fresh water”) primarily represent.A) Scientific theories. B) Beneficial circumstances. C) Unsound beliefs. D)
The author faults teleological explanations primarily for their A) Imprecision B) Intuitiveness C) Conciseness D) Impenetrability.
According to the passage, materialism affects artists primarily by.A) Awakening them with a glimmer of inspiration. B) Establishing their connection to an earlier time. C) Denying them
Which of the following is most representative of the “complex relationships” mentioned in line 27? a) A species of deciduous tree competing with another species for exposure to sunlight.b) A
Which choice provides the best evidence for the answer to the previous question? A) Lines 3–7 (“We have moved . . . represent them”) B) Lines 19–21 (“Such explanations . . . they
Which choice provides the best evidence for the answer to the previous question? A) Lines 27–30 (“Like ourselves . . . external form”). B) Lines 31–32 (“This all-important . . . a
In line 18, the phrase “we assumed” suggests that biologists a) Accepted a proposition uncritically. b) Adopted a significant social role. c) Acquired a new research
According to the author, Neil Shubin’s error was that he A) Failed to appreciate the education level of his audience B) Confused purpose with cause in a scientific explanation C)
The author uses the phrase “trembles in doubt” (line 42) in order to emphasize his belief that A) Philosophers are unsure about the meaning of materialism. B) True artists question
The main function of the seventh paragraph (lines 65–70) is to A) Concede a drawback B) Propose an alternative C) Address an injustice D) Correct a misunderstanding.
In line 47, the “costly vase” represents A) A materialistic aspiration B) A finely crafted piece of art C) A cynical attempt at forgery D) An irretrievable frame of mind.
The tone of the final paragraph (lines 71–77) is best described as A) Beseeching B) Jocular C) Sardonic D) Journalistic.
The author regards the examples listed in lines 5–7 as A) Scientific frauds B) Astonishing discoveries C) Faulty conclusions D) Quaint traditions
The authors use the phrase “equal certainty” (lines 24–25) to make the point that A) The reason for the Neanderthals’ extinction is now well known. B) Neanderthals may not have
Which choice provides the best evidence for the answer to the previous question? A) Lines 1–4 (“In ancient . . . material”) B) Lines 7–10 (“Warmth . . . organisms”) C)
The authors of this passage would most likely agree with which of the following statements? A) Anthropological research should adopt higher standards of evidence B) Physical weakness is not
Which choice provides the best evidence for the answer to the previous question?A) Lines 24–26 (“Equal certainty . . . did not”) B) Lines 30–33 (“Indeed, hunters . . . everyday
Louis Pasteur would most likely fault the “recipe” described in lines 15–20 for its lack of A) Scientific controls B) Quantitative precision C) Fermentable material D)
In line 40, “mortal” most nearly means A) Human B) Earthly C) Bitter D) Fatal
If the fossil record indicated in the accompanying diagram is assumed to be accurate and complete, what is the longest period of time that any single hominid species lived on the earth? A)
The final paragraph suggests that Pasteur was mistaken about A) The chemical composition of living cells B) The possibility of life arising from nonliving matter C) When the earliest
Which of the following best describes how the diagram supports the main argument of this passage? A) It shows that hominid species have existed for over 2,000,000 years. B) It shows that H.
In line 46, “basic” most nearly means A) Innate B) Quintessential C) Easily understood D) Rudimentary
The authors mention that “hunter-gatherers use sophisticated sign language” (line 34) primarily in order to A) Refute a common misconception about hunter-gatherers.B) Specify the mechanism
In the final paragraph, the author characterizes the early earth primarily as A) Idyllic B) Mysterious C) Perilous D) Chaotic
In line 49, “tapping” most nearly means A) Exploiting B) Exhausting C) Nominating D) Monitoring.
Which best describes the content and organization of the passage as a whole? A) The account of a discovery followed by a discussion of its practical applications B) The description of a
The authors mention “cell phones” and “diplomacy” (line 56) primarily as examples of A) Universally admired commercial products. B) Effective means of global communication. C)
Choose the best word in the sentences below.The police officer was (cited/sighted) for her efforts in the hostage rescue.
The primary purpose of this passage is to A) Warn against the dangers associated with daily living in the United States B) Compare the costs of war-related activities to the costs of
The author regards the “reports” (line 3) with an attitude of A) Journalistic objectivity B) Informed incredulity C) Intense alarm D) Lighthearted humor
The activities listed in lines 21–25 serve primarily as examples of A) Underappreciated dangers B) Intolerable risks C) Medical priorities D) Policy failures
The passage includes all of the following EXCEPT A) Ad hominem B) Verifiable statistics C) Amusing illustration D) Social assessment
In line 32, the author’s use of the word “penetrating” is an example of A) Subtle euphemism B) Deliberate hyperbole C) Sincere acclamation D) Ironic sarcasm
In line 32, “personalize” most nearly means A) Customize decoratively B) Describe insultingly C) Represent humanely D) Interpret out of context
The passage suggests that the “exotic malady” (line 35) is an example of A) A delusion that is slowly being dispelled B) A risk that is wildly overestimated C) A peril that is
Which choice provides the best evidence for the answer to the previous question? A) Lines 1–7 (“Without some . . . of TNT”) B) Lines 12–16 (“As often . . . War”) C) Lines
The author mentions the work of Drs. Kronlund and Phillips (lines 53–58) primarily in order to A) Warn against the risks of certain medical procedures B) Highlight a promising medical
Circle the correct pronoun in each sentence.The climb was much easier for Camille than it was for Jeff and (I/me/myself).
Circle the correct verb form in each of the following sentences.If our wide receiver (was/were) a little faster, he would get more open in the secondary.

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