Algebra/
Advanced Math
Advanced Math
y = 2x + 3
x = 1
What is the solution (x,y) to the given system of equations?
A. (1,2)
B. (1, 5)
C. (2,3)
D. (2,7)
B. (1,5)
A kangaroo has a mass of 28 kilograms. What is the kangaroo's mass, in grams?(1 kilogram = 1,000 grams)
A. 28,000
B. 1,028
C. 972
D. 784
A. 28,000
Hevea brasiliensis, a tree in the Amazon rainforest, is the world’s main source of natural rubber. The tree produces a milky substance called latex that is used to make rubber. The bark of Hevea brasiliensis is helpful for the process of making rubber because it has a unique structure that makes it easy to collect latex. A network of tubes in the tree’s inner bark helps the latex to flow out easily when people make small cuts into the bark.
What feature of Hevea brasiliensis does the text say is helpful for the process of making rubber?
A. Its latex produces rubber of an especially high quality.
B. Its bark has a unique structure that makes it easy to collect latex.
C. It is able to grow in a wide variety of climates around the world.
D. It is one of only two trees in the Amazon that produce latex.
B. Its bark has a unique structure that makes it easy to collect latex.
Choice B is the best answer because it most accurately states what feature of Hevea brasiliensis is helpful for the process of making rubber. According to the text, this tree species produces latex, which is used to make rubber, and its inner bark contains a "network of tubes" that, when cut, enables the latex to flow out. The text explicitly states that this feature of Hevea brasiliensis is "helpful for the process of making rubber."
The following text is from the 1913 story “The King’s Coin” by Emily Pauline Johnson, a Kanienkahagen (Mohawk) writer also known as Tekahionwake. Fox-Foot, a young Ojibwe man, is guiding a group of fur traders who are traveling by canoe and suspects that they are being followed.
At supper time, Fox-Foot would allow no fire to be built, no landing to be made, no trace of their passing to be left. They ate canned meat and marmalade, drank again of the stream and pushed on, until just at dusk they reached the edge of a long, still lake, with shores of granite and dense fir forest.
As used in the text, what does the word “trace” most nearly mean?
A. Evidence
B. Blemish
C. Amount
D. Sketch
A. Evidence
Choice A is the best answer because the text indicates that Fox-Foot doesn’t let the group build a fire or create a canoe landing when it’s time for supper. This context suggests that he doesn’t want anyone who might be following the group to see any sign of them or their activities. In other words, Fox-Foot doesn’t want there to be any trace, or evidence, of the group’s movements ("their passing") through the area.
What are the last names of the warring families in Romeo and Juliet?
Montagues & Capulets
x = 5
y = x - 8
Which of the following points is the solution to the given system of equations in the xy-plane?
A. (0,0)
B. (5, -3)
C. (5, -8)
D. (5, 8)
B. (5, -8)
Choice B is correct. A solution to a system of equations in the xy-plane is a point that lies on the graph of each equation in the system. The first equation given is . Substituting for in the second given equation yields , or . It follows that in the xy-plane, the point lies on the graph of each equation in the system. Therefore, the solution to the given system of equations in the xy-plane is .
A store received a shipment of 1,000 MP3 players, 4 of which were defective. If an MP3 player is randomly selected from this shipment, what is the probability that it is defective?
A. 0.004
B. 0.04
C. 0.4
D. 4
Rationale
A. 0.004
The following text is from Edith Nesbit’s 1902 novel Five Children and It. Five young siblings have just moved with their parents from London to a house in the countryside that they call the White House.
It was not really a pretty house at all; it was quite ordinary, and mother thought it was rather inconvenient, and was quite annoyed at there being no shelves, to speak of, and hardly a cupboard in the place. Father used to say that the ironwork on the roof and coping was like an architect’s nightmare. But the house was deep in the country, with no other house in sight, and the children had been in London for two years, without so much as once going to the seaside even for a day by an excursion train, and so the White House seemed to them a sort of Fairy Palace set down in an Earthly Paradise.
Which choice best states the main idea of the text?
A. Although their parents believe the house has several drawbacks, the children are enchanted by it.
B. The children don’t like the house nearly as much as their parents do.
C. Each member of the family admires a different characteristic of the house.
D. The house is beautiful and well built, but the children miss their old home in London.
A. Although their parents believe the house has several drawbacks, the children are enchanted by it.
Choice A is the best answer. The text lists complaints about the house made by the mother and father, but then it says that the children thought the house was a "Fairy Palace" and "Earthly Paradise."
The following text is adapted from Elizabeth von Arnim’s 1922 novel The Enchanted April. Mrs. Wilkins and her friend Rose are traveling in Italy.
“I’m going to have one of these gorgeous oranges,” said Mrs. Wilkins, staying where she was and reaching across to a black bowl piled with them. “Rose, how can you resist them. Look—have this one. Do have this beauty—” And she held out a big one.
As used in the text, what does the phrase “reaching across to” most nearly mean?
A. Joining with
B. Gaining on
C. Stretching toward
D. Arriving at
C. Stretching toward
Choice C is the best answer because as used in the text "reaching across to" most nearly means stretching toward. The text begins with Mrs. Wilkins stating that she wants to have one of the oranges that she’s admiring. The text then indicates that Mrs. Wilkins, staying where she is, holds out a big orange to her friend. This context suggests that when the text describes Mrs. Wilkins as reaching across to the bowl of oranges, it means that she is stretching toward the bowl.
What is the largest planet in our solar system?
Jupiter
If (x+5)(x+5) = 4, which of the following is a possible value of x?
A. 1
B. -1
C. -2
D. -3
D. -3
Each base of a right rectangular prism has a 152 length of inches and a width of 18 inches. The prism has a volume of 2,736 cubic inches. What is the height, in inches, of the prism?
A. 18
B. 27
C. 144
D. 152
A. 18
“To You” is an 1856 poem by Walt Whitman. In the poem, Whitman suggests that readers, whom he addresses directly, have not fully understood themselves, writing, ______blank
Which quotation from “To You” most effectively illustrates the claim?
A. “You have not known what you are, you have slumber’d upon yourself / all your life, / Your eyelids have been the same as closed most of the time.”
B. “These immense meadows, these interminable rivers, you are immense / and interminable as they.”
C. “I should have made my way straight to you long ago, / I should have blabb’d nothing but you, I should have chanted nothing / but you.”
D. “I will leave all and come and make the hymns of you, / None has understood you, but I understand you.”
A. “You have not known what you are, you have slumber’d upon yourself / all your life, / Your eyelids have been the same as closed most of the time.”
Choice A is the best answer because it presents the quotation that most directly illustrates the claim that Whitman’s poem suggests that its readers haven’t fully understood themselves. This quotation makes that point directly by saying to readers, “You have not known what you are.” The quotation goes on to reinforce this point using a metaphor of sleep, saying that readers have “slumber’d” and that their “eyelids have been the same as closed most of the time.”
The following text is adapted from George Bernard Shaw’s 1912 play Pygmalion. Henry Higgins has just arrived at the house of his mother (Mrs. Higgins). She is expecting her friends to visit soon.
MRS. HIGGINS: I’m serious, Henry. You offend all my friends: they stop coming whenever they meet you.
HIGGINS: Nonsense! I know I have no small talk; but people don’t mind.
MRS. HIGGINS: Oh! don’t they? Small talk indeed! What about your large talk? Really, dear, you mustn’t stay.
Which choice best states the main purpose of the text?
A. To describe what Henry’s mother does when she goes out with her friends
B. To show that Henry’s mother wants him to leave
C. To present a detailed account of what Henry’s home looks like
D. To explain why Henry often visits his mother
B. To show that Henry’s mother wants him to leave
Choice B is the best answer because it most accurately states the main purpose of the text, which is to show that Henry’s mother, Mrs. Higgins, wants Henry to leave her house. In the text, Mrs. Higgins complains that Henry offends all her friends and that they stop coming when he’s also visiting. She then tells him directly, "you mustn’t stay." The overall exchange conveys Mrs. Higgins’s intention for Henry to leave so as not to drive away her friends with his behavior.
Which Canadian rapper's real first name is Aubrey?
Drake
y = 2(x-d)(x+d)(x+g)(x-d)
In the given equation, and are unique positive constants. When the equation is graphed in the xy-plane, how many distinct x-intercepts does the graph have?
A. 4
B. 3
C. 2
D. 1
B. 3 An x-intercept of a graph in the xy-plane is a point on the graph where the value of is . Substituting for in the given equation yields . By the zero product property, the solutions to this equation are , , , and . However, and are identical. It's given that and are unique positive constants. It follows that the equation has unique solutions: , , and . Thus, the graph of the given equation has distinct x-intercepts.
In triangle ABC, AB = 4,680 millimeters (mm) and BC =4,680 mm. Which statement is sufficient to prove that triangle ABC is equilateral?
A. AC= 4,680 mm
B. AC = 468 mm
C. AC = 46.8
D. AC = 4.68 mm
A. AC = 4,680 mm
O Pioneers! is a 1913 novel by Willa Cather. In the novel, Cather portrays Alexandra Bergson as having a deep emotional connection to her natural surroundings: ______blank
Which quotation from O Pioneers! most effectively illustrates the claim?
A. “She had never known before how much the country meant to her. The chirping of the insects down in the long grass had been like the sweetest music. She had felt as if her heart were hiding down there, somewhere, with the quail and the plover and all the little wild things that crooned or buzzed in the sun. Under the long shaggy ridges, she felt the future stirring.”
B “Alexandra talked to the men about their crops and to the women about their poultry. She spent a whole day with one young farmer who had been away at school, and who was experimenting with a new kind of clover hay. She learned a great deal.”
C. “Alexandra drove off alone. The rattle of her wagon was lost in the howling of the wind, but her lantern, held firmly between her feet, made a moving point of light along the highway, going deeper and deeper into the dark country.”
D. “It was Alexandra who read the papers and followed the markets, and who learned by the mistakes of their neighbors. It was Alexandra who could always tell about what it had cost to fatten each steer, and who could guess the weight of a hog before it went on the scales closer than John Bergson [her father] himself.”
A. “She had never known before how much the country meant to her. The chirping of the insects down in the long grass had been like the sweetest music. She had felt as if her heart were hiding down there, somewhere, with the quail and the plover and all the little wild things that crooned or buzzed in the sun. Under the long shaggy ridges, she felt the future stirring.”
Choice A is the best answer because it presents the quotation that most directly illustrates the claim that Cather portrays Alexandra as having a deep emotional connection to her natural surroundings. This quotation states that the country meant a great deal to Alexandra and then goes on to detail several ways in which her natural surroundings affect her emotionally: the insects sound like “the sweetest music,” she feels as though “her heart were hiding” in the grass “with the quail and the plover,” and near the ridges she feels “the future stirring.”
Novelist Leon Forrest admired William Faulkner’s writing style. Forrest’s novel Divine Days contains a long passage in tribute to Faulkner that is a perfect ______blank of Faulkner’s style: anyone familiar with Faulkner’s writing would see the resemblance.
Which choice completes the text with the most logical and precise word or phrase?
A. forgetting
B. rejection
C. imitation
D. opinion
C. imitation
Choice C is the best answer because it most logically completes the text’s discussion of novelist Leon Forrest’s admiration of William Faulkner’s writing style. In this context, "imitation" means something that resembles or reproduces something else. The text states that Forrest admired Faulkner’s style and that anyone familiar with Faulkner’s style would be able to see the stylistic similarities between a particular passage in Forrest’s novel Divine Days and Faulkner’s writing, a fact that supports the idea that Forrest’s novel pays tribute to Faulkner by reproducing, or imitating, Faulkner’s style.
The first generation of this technology was released June 29, 2007
The iPhone
In the xy-plane, line k passes through the points (0,-5) and (1,-1). Which equation defines line k?
A. y = -x + 1/4
B. y = 1/4x - 5
C. y = -x + 4
D. y = 4x - 5
D. y = 4x - 5
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?
A. 20
B. 24
C. 32
D. 36
C. 32
Several artworks found among the ruins of the ancient Roman city of Pompeii depict a female figure fishing with a cupid nearby. Some scholars have asserted that the figure is the goddess Venus, since she is known to have been linked with cupids in Roman culture, but University of Leicester archaeologist Carla Brain suggests that cupids may have also been associated with fishing generally. The fact that a cupid is shown near the female figure, therefore, ______blank
Which choice most logically completes the text?
A. is not conclusive evidence that the figure is Venus.
B. suggests that Venus was often depicted fishing.
C. eliminates the possibility that the figure is Venus.
D. would be difficult to account for if the figure is not Venus.
A. is not conclusive evidence that the figure is Venus.
Choice A is the best answer because it presents the conclusion that most logically completes the text’s discussion about the significance of the cupid found at Pompeii. The text indicates that the cupid is near a statue of a female figure who is fishing, and it goes on to indicate that because Venus is associated with cupids, some scholars believe the female figure to be the goddess Venus. But the text then says that, according to archaeologist Carla Brain, cupids may have also been associated with the activity of fishing, which, if true, would suggest that the mere appearance of a cupid near a female figure engaged in fishing does not indicate with certainty that the figure is Venus (that is, the cupid might be associated with fishing, and the figure might be anyone at all).
Text corpora such as the Bank of English are enormous collections of electronically stored texts that can be used for empirical testing of hypotheses regarding the frequency of typical word usage. If one has a ______blank that the word “get” has a high incidence in English, for example, an analysis of a corpus can support that hypothesis by showing that “get” is the fifth most commonly used verb.
Which choice completes the text with the most logical and precise word or phrase?
A. recognition
B. scheme
C. supposition
D. synopsis
C. supposition
Choice C is the best answer because it most logically completes the text’s discussion of testing hypotheses regarding usage by means of text corpora. In this context, "supposition" refers to an assumption or hypothesis that is not yet proven. The text explains that text corpora can be used for "empirical testing of hypotheses regarding the frequency of typical word usage" and then provides a specific example of using corpus analysis to support a claim about the word "get." The word "supposition" precisely conveys this idea of an assumption or hypothesis about word frequency that can then be tested against empirical data.
The world's largest suppliers of athletic shoes and clothes, they were founded by a runner in Oregon in 1971. (Hint: the name of this company is also named after a the greek goddess of victory)
Nike