TEXT: Choice A is correct. It's given that length WZ and length XY intersect at point Q. It follows that angle WQX and angle YQZ are vertical angles, which means they are congruent to each other. The figure shows that angle W and angle Y both have a measure of a°, so they are congruent to each other. Therefore, triangle QWX and triangle QYZ are similar triangles, where length WQ corresponds to length YQ and length WX corresponds to length YZ. Since the lengths of corresponding sides in similar triangles are proportional, it follows that YZ/YQ = WX/WQ. It's given that YQ=21, WQ=70, and WX=60. Substituting 21 for YQ, 70 for WQ, and 60 for WX in the equation YZ/YQ = WX/WQ yields YZ/21 = 60/70, or YZ/21 = 6/7. Multiplying each side of this equation by 21 yields YZ = 18 Therefore, the length of YZ is 18.

Choice A is correct. #SATPractice

TEXT: SAT Math Practice IMAGE: The figure drawn is two congruent triangles: WXQ and YQZ. They are sharing angle Q in the center. Angle W and angle Y are labled a°. TEXT: In the figure shown, length WZ and length XY intersect at point Q, YQ = 21 WQ = 70 , WX = 60 and XQ = 120 What is the length of YZ? A) 18 B) 36 C) 120 D) 200

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TEXT: Choice D is the best answer because it most accurately describes how the underlined portion functions in the text as a whole. The function of the underlined portion is to identify a circumstance that is comparable to one in the study and that helps justify LaBerge and team's conclusion, presenting the close similarity of visual tracking in wakeful and dreaming scenarios as support for the implicit idea that the brain perceives dream objects not as imaginary but as somewhat or fully real objects.

Choice D is the best answer. #SATPractice

TEXT: Curious about how people visually perceive objects in their dreams, Stephen LaBerge and team recruited lucid dreamers-people aware that they're dreaming as it's happening-for a research study. These participants were reliably able to signal when they had entered a dream state; the team then observed participants' eye movements as they slept. [UNDERLINE START] The smoothness with which participants' eyes tracked objects in their dreams closely matched how sighted people who are awake visually track objects around them, [UNDERLINE END] suggesting to the team that the brain perceives dream objects as the product of something other than pure imagination. Which choice best states the function of the underlined portion in the text as a whole? A) To offer key evidence that undermines LaBerge and team's initial hypothesis B) To show the unexpected result that led LaBerge and team to change the focus of their study C) To illustrate an important real-world implication of LaBerge and team's main finding D) To identify a comparable circumstance that helps justify LaBerge and team's conclusion

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TEXT: SAT Math Practice Choice D is correct. It's given that the equation 80S + 90C = 1,120 represents this situation, where S is the number of square tokens won, C is the number of circle tokens won, and 1,120 is the total number of points the tokens are worth. It follows that 80S represents the total number of points the square tokens are worth. Therefore, each square token is worth 80 points. It also follows that 90C represents the total number of points the circle tokens are worth. Therefore, each circle token is worth 90 points. Since a circle token is worth 90 points and a square token is worth 80 points, then a circle token is worth 90-80, or 10, more points than a square token.

Choice D is correct. #SATPractice

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TEXT: SAT Math Practice At a state fair, attendees can win tokens that are worth a different number of points depending on the shape. One attendee won S square tokens and C circle tokens worth a total of 1,120 points. The equation 80S + 90C = 1, 120 represents this situation. How many more points is a circle token worth than a square token? A) 950 B) 90 C) 80 D) 10

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TEXT: SAT Reading and Writing Practice The forty-seven geothermal springs of Arkansas' Hot Springs National Park are sourced via a process known as natural groundwater recharge, in which rainwater percolates downward through the earth-in this case, the porous rocks of the hills around Hot collect in a subterranean basin. Which choice completes the text so that it conforms to the conventions of Standard English? A) Springs to B) Springs: to C) Springs-to D) Springs, to

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Choice C is correct. If a value of x satisfies f(x) = 0 , the graph of y=f(x) will contain a point (x, 0) and thus touch the x-axis. Since there are 3 points at which this graph touches the x-axis, there are 3 values of x for which f(x) = 0. #SATPractice

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Choice B is the best answer. "By contrast" logically signals that the information in this sentence—that a firefly's glow ceases when it stops drawing in oxygen-contrasts with the previous sentence's discussion of the processes that cause a firefly to begin to glow. #SATPractice

TEXT: A firefly uses specialized muscles to draw oxygen into its lower abdomen through narrow tubes, triggering a chemical reaction whereby the oxygen combines with chemicals in the firefly's abdomen to when the firefly stops produce a glow. drawing in oxygen, the reaction-and the glow-cease. Which choice completes the text with the most logical transition? A) For instance, B) By contrast, C) Specifically, D) In conclusion,

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Choice D is correct. Adding 53 to each side of the given equation yields k ^ 2 = 144. Taking the square root of each side of this equation yields k = plus or minus 12. Therefore, the positive solution to the given equation is 12. #SATPractice

k^2 - 53 = 91 What is the positive solution to the given equation? A) 144 B) 72 C) 38 D) 12

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TEXT: Choice B is the best answer. The convention being tested is the punctuation of items in a complex series (a series including internal punctuation). In this choice, the semicolon after "Lagos" is conventionally used to separate the first item ("The Joys...Lagos") and the second item ("A Kind... Nigeria") in the series. Further, the comma after "Marriage" correctly separates the title "A Kind of Marriage" from the supplementary phrase ("a television...Nigeria") that describes it. #SATPractice

Choice B is the best answer. #SATPractice

TEXT: SAT Reading and Writing Practice Nigerian author Buchi Emecheta's celebrated literary oeuvre includes The Joys of Motherhood, a novel about the changing roles of women in 1950s a television play about the private struggles of a newlywed couple in Nigeria; and Head Above Water, her autobiography. Which choice completes the text so that it conforms to the conventions of Standard English? A) Lagos, A Kind of Marriage, B) Lagos; A Kind of Marriage, C) Lagos, A Kind of Marriage: D) Lagos; A Kind of Marriage

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Choice C is correct. #SATPractice

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TEXT: Choice A is the best answer because it most logically completes the text's discussion of the evidence found in Queen Merneith's tomb. The text begins by mentioning archaeologists' efforts to excavate the tomb of Queen Merneith, the wife of a pharaoh who some scholars think was actually the first female pharaoh. The text states that a tablet discovered in her tomb suggests she "was in charge of the country's treasury and other central offices," which supports the idea that she had an important role in Egypt's government.

Choice A is the best answer. #SATPractice

TEXT: Archaeologist Christiana Kohler and her team excavated the Egyptian tomb of Queen Merneith, the wife of a First Dynasty pharaoh. Some scholars claim that she also ruled Egypt on her own and was actually the first female pharaoh. The team found a tablet in Merneith's tomb with writing suggesting that she was in charge of the country's treasury and other central offices. Whether Merneith was a pharaoh or not, this discovery supports the idea that Merneith likely Which choice most logically completes the text? A) had an important role in Egypt's government. B) lived after rather than before the First Dynasty of Egypt. C) traveled beyond Egypt's borders often. D) created a new form of writing in Egypt.

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TEXT: Choice C is correct. Applying the zero product property to the given equation yields three equations: x+2=0, x-5=0, and x+9=0. Subtracting 2 from both sides of the equation x+2=0 yields x=-2 Adding 5 to both sides of the equation x-5=0 yields x=5. Subtracting 9 from both sides of the equation x+9=0 yields x=-9. Therefore, the solutions to the given equation are -2, 5, and -9. It follows that a positive solution to the given equation is 5.

Choice C is correct. #SATPractice

TEXT: SAT Math Practice (x+2)(X-5)(x+9)=0 What is a positive solution to the given equation? A) 3 B) 4 C) 5 D) 18

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TEXT: Choice A is the best answer. The convention being tested is the use of punctuation around noun phrases. No punctuation is needed because the noun phrase "Tamatoa the crab" is a restrictive appositive, meaning that it provides essential identifying information about the noun phrase before it, "the character.” Additionally, no punctuation is needed between the noun phrase "the deep and humorous voice...crab" and the verb "belongs" that indicates whom the voice belongs to.

Choice A is the best answer. #SATPractice

TEXT: SAT Reading and Writing Practice Fans of the film Moana (2016) may not know that the deep and humorous voice behind the (BLANK) belongs to comedian, actor, and musician Jemaine Clement. The versatile performer has appeared in everything from television commercials to action movies, but voice acting, specifically, has become a notable part of his career. Which choice completes the text so that it conforms to the conventions of Standard English? A) character Tamatoa the crab B) character Tamatoa the crab, C) character: Tamatoa the crab, D) character, Tamatoa the crab

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Choice D is correct. The value of f(0) is the value of f(x) when x=0. Substituting 0 for x in the given function yields f(0)=270(0.1)0, or f(0)=270(1) which is equivalent to f(0)=270. Therefore, the value of f(0) is 270. #SATPractice

TEXT: SAT Math Practice The function f is defined by f(x) = 270 * (0.1)^x . What is the value of f(0) ? A) 0 B) 1 C) 27 D) 270

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TEXT: Choice D is the best answer because it most accurately describes the overall purpose of the text. The text indicates that “for as long as he could remember,” Max had “begged” his father to take him to La Reina. This point is later emphasized in the text by indicating that “this summer” his father might “finally take” Max to visit La Reina. Thus, the purpose of the text as a whole is to show how much Max wants to visit La Reina.

Choice D is correct. #SATPractice

TEXT: SAT Reading and Writing Practice The following text is adapted from Pam Muñoz Ryan's 2020 novel Mañanaland. In the village where Max lives, there is an old fortress called La Reina. Children in the village say that the fortress is haunted. For as long as he could remember, Max had begged Papá [his father] to take him to see La Reina and the ruins up close. He'd be a hero among his friends if he was the first boy to cross the haunted gates! Just because Papá didn't believe in ghosts didn't mean they weren't there. Maybe this summer Papá would finally take him. He was almost twelve. ©2020 by Pam Muñoz Ryan Which choice best describes the overall purpose of the text? A) To portray how proud Max's father is of Max B) To explain why Max doesn't want to grow up yet C) To criticize Max for disliking summer D) To show how much Max wants to visit La Reina

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