Aztec Sacrifice - The Meaning of Ritual Human Killings

Aztec Sacrifice - The Meaning of Ritual Human Killings Aztec sacrifices were famously a part of the Aztec culture, famous in part because of deliberate propaganda out of the Spanish conquistadors in Mexico, who at the time were involved in executing heretics and opponents in bloody ritual displays as part of the Spanish Inquisition. The over-emphasis on the role of human sacrifice has led to a distorted view of Aztec society: but it is also true that violence formed a regular and ritualized part of life in Tenochtitlan. Key Takeaways: Aztec Sacrifice Sacrifices were a regular and ritualized part of life in 15th- and 16th-century Aztec capital cities.  The numbers and extent of the practice were almost certainly inflated by Spanish conquistadors.  Reasonable estimates are between 1000 and 20,000 human sacrifices per year in Tenochitlan; the Spanish claimed much more.The main religious purpose was to renew and sustain life, and to communicate with the gods.  As a political tool, sacrifice was used terrorize Aztec subjects and legitimize the Aztec rulers and the state itself. How Common Was Human Sacrifice? As many Mesoamerican people did, the Aztec/Mexica believed that sacrifice to the gods was necessary to ensure the continuity of the world and the balance of the universe. They distinguished between two types of sacrifice: those involving humans and those involving animals or other offerings. Human sacrifices included both self-sacrifice, such as bloodletting, in which people would cut or perforate themselves; as well as the sacrifice of the lives of other human beings. Although both were quite frequent, the second one gained the Aztecs the fame of being a bloodthirsty and brutal people who worshiped cruel deities. Meaning of Aztec Sacrifices For the Aztecs, human sacrifice fulfilled multiple purposes, both at the religious and socio-political level. They considered themselves the â€Å"elected† people, the people of the Sun who had been chosen by the gods to feed them and by doing so were responsible for the continuity of the world. On the other hand, as the Mexica became the most powerful group in Mesoamerica, human sacrifice acquired the added value of political propaganda: requiring subject states to offer up human sacrifice was a way to maintain control over them. The rituals connected with the sacrifices included the so-called Flowery Wars intended not to kill the enemy but rather to obtain slaves and live war captives for sacrifices. This practice served to subjugate their neighbors and send a political message to both their own citizens as well as foreign leaders. A recent cross-cultural study by Watts et al. (2016) argued that human sacrifice also propped up and supported the elite class structure. But Pennock (2011) argues that to simply write off Aztecs as bloodthirsty and uncivilized mass murderers misses the central purpose of human sacrifice in Aztec society: as a deeply held belief system and part of the requirements for the renewal, sustaining and refreshing of life. Forms of Aztec Sacrifices Chac-Mool (divine messenger bearing offerings) in stone with traces of colour, Sanctuary of Tlaloc, Templo Mayor, Tenochtitlan (Mexico City), Mexico. Aztec civilization, ca 1390 CE. De Agostino / G. Dagli Orti / De Agostini Picture Library / Getty Images Plus Human sacrifice among the Aztec usually involved death by heart extraction. The victims were chosen carefully according to their physical characteristics and how they related to the gods to whom they would be sacrificed. Some gods were honored with brave war captives, other with slaves. Men, women, and children were sacrificed, according to the requirements. Children were specially chosen to be sacrificed to Tlaloc, the rain god. The Aztecs believed that the tears of newborn or very young children could ensure rain. The most important place where sacrifices took place was the Huey Teocalli at the Templo Mayor (Great Temple) of Tenochtitlan. Here a specialist priest removed the heart from the victim and threw the body down the steps of the pyramid; and the victims head was cut off and placed on the tzompantli, or skull rack. Mock Battles and Flowery Wars However, not all sacrifices took place on top of pyramids. In some cases, mock-battles were organized between the victim and a priest, in which the priest fought with real weapons and the victim, tied to a stone or a wooden frame, fought with wooden or feathered ones. Children sacrificed to Tlaloc were often carried to the god’s sanctuaries on top of the mountains that surround Tenochtitlan and the Basin of Mexico in order to be offered to the god. The chosen victim would be treated as a personification on earth of the god until the sacrifice took place. The preparation and purification rituals often lasted more than one year, and during this period the victim was taken care of, fed, and honored by servants. The Sun Stone of Motecuhzoma Ilhuicamina (or Montezuma I, who ruled between 1440-1469) is an enormous carved monument discovered at the Templo Mayor in 1978. It features elaborate carvings of 11 enemy city-states and likely served as a gladiatorial stone, a dramatic platform for gladiatorial combat between Mexica warriors and captives. Most ritual killings were practiced by religious specialists, but Aztec rulers themselves often took part in the dramatic ritual sacrifices such as the dedication of Tenochtitlans Templo Mayor in 1487. Ritual human sacrifice also took place during elite feasting, as part of a display of power and material wealth. Categories of Human Sacrifice Mexican archaeologist Alfredo Là ³pez Austin (1988) described four types of Aztec sacrifice: images, beds, owners of skin, and payments. Images (or ixpitla) are sacrifices in which the victim was costumed as a particular god, becoming transformed into the deity at a magic ritual time. These sacrifices repeated the ancient mythical time when a god died so his force would be reborn, and the death of the human-god impersonators allowed the rebirth of the god. The second category was what Là ³pez Austin called the beds of the gods, referring to retainers, those victims killed in order to accompany an elite personage to the underworld. The owners of skins sacrifice is that associated with Xipe Totec, those victims whose skins were removed and worn as costumes in rituals. These rituals also provided body part war trophies, in which the warriors who captured the victim were awarded a femur to display at home. Human Remains as Evidence Apart from the Spanish and indigenous texts describing rituals involving human sacrifice, there is also ample archaeological evidence for the practice. Recent investigations at the Templo Mayor have identified the burials of high-ranking personages who were ritually buried following cremation. But the majority of human remains found in Tenochtitlan excavations were sacrificed individuals, some beheaded and some with their throats cut. One offering at the Templo Mayor (#48) contained the remains of approximately 45 children sacrificed to  Tlaloc. Another at  Tlatelolcos Temple R, dedicated to the Aztec god of the rain, Ehecatl-Quetzalcoatl, contained 37 children and six adults. This sacrifice was carried out at Temple Rs dedication during the great drought and famine of 1454–1457 CE. The Tlatelolco project has identified thousands of human burials which were ritually deposited or sacrificially offered. In addition, evidence of human blood residue at the House of the Eagles in Tenochtitlans ceremonial precinct indicates bloodletting activities. Là ³pez Austins fourth category was sacrificial debt payments. These types of sacrifices are epitomized by the creation myth of Quetzalcoatl (the Feathered Serpent) and Tezcatlipoca (Smoking Mirror) who transformed into serpents and tore apart the earth goddess, Tlaltecuhtli, angering the rest of the Aztec pantheon. To make amends, the Aztecs needed to feed Tlaltecuhtlis endless hunger with human sacrifices, thereby staving off total destruction. How Many? According to some Spanish records, 80,400 people were slaughtered at the dedication of the Templo Mayor, a number likely exaggerated by either the Aztecs or the Spanish, both of whom had reason to inflate the numbers. The number 400 had a significance to Aztec society, meaning something like too many to count or the biblical notion involved in the word legion. There is no doubt that an unusually high number of sacrifices did occur, and 80,400 could be construed to mean 201 times too many to count. Based on the Florentine codex, scheduled rituals included a figure of around 500 victims a year; if those rituals were conducted in each of the calpulli districts of the city, that would be multiplied by 20. Pennock argues persuasively for an annual number of victims in Tenochtitlan of between 1,000 and 20,000. Edited and updated by K. Kris Hirst Sources Ball, Tanya Corissa. The Power of Death: Hierarchy in the Representation of Death in Pre- and Post-Conquest Aztec Codices. Multilingual Discourses 1.2 (2014): 1–34. Print.Berdan, Frances F. Aztec Archaeology and Ethnohistory. New York: Cambridge University Press, 2014. Print.Boone, Elizabeth Hill, and Rochelle Collins. The Petroglyphic Prayers on the Sun Stone of Motecuhzoma Ilhuicamina. Ancient Mesoamerica 24.2 (2013): 225–41. Print.De Lucia, Kristin. Everyday Practice and Ritual Space: The Organization of Domestic Ritual in Pre-Aztec Xaltocan, Mexico. Cambridge Archaeological Journal 24.03 (2014): 379–403. Print.Klein, Cecelia F. Gender Ambiguity and the Toxcatl Sacrifice. Tezcatlipoca: Trickster and Supreme Deity. Ed. Baquedano, Elizabeth. Boulder: University Press of Colorado, 2014. 135–62. Print.Là ³pez Austin, Alfredo. The Human Body and Ideology: Concepts of the Ancient Nahuas. Salt Lake City: University of Utah Press, 1988.Pennock, Caroline Dodds. Mass Murder or Religious Homicide? Rethinking Human Sacrifice and Interpersonal Violence in Aztec Society. Historical Social Research / Historische Sozialforschung 37.3 (141) (2012): 276–302. Print. Schwartz, Glenn M. The Archaeological Study of Sacrifice. Annual Review of Anthropology 46.1 (2017): 223–40. Print.Watts, Joseph, et al. Ritual Human Sacrifice Promoted and Sustained the Evolution of Stratified Societies. Nature 532.7598 (2016): 228–31. Print.

The Complete Guide toSAT Math Word Problems

The Complete Guide toSAT Math Word Problems SAT / ACT Prep Online Guides and Tips About 25% of your total SAT Math section will be word problems, meaning you will have to create your own visuals and equations to solve for your answers. Though the actual math topics can vary, SAT word problems share a few commonalities, and we’re here to walk you through how to best solve them. This post will be your complete guide to SAT Math word problems. We'll coverhow to translate word problems into equations and diagrams, the different types of math word problems you’ll see on the test, and how to go about solving your word problems on test day. Feature Image: Antonio Litterio/Wikimedia What Are SAT Math Word Problems? A word problem is any math problem based mostly or entirely on a written description. You will not be provided with an equation, diagram, or graph on a word problem and must instead use your reading skills to translate the words of the question into a workable math problem. Once you do this, you can then solve it. You will be given word problems on the SAT Math section for a variety of reasons. For one, word problems test your reading comprehension and your ability to visualize information. Secondly, these types of questionsallow test makers to ask questions that'd be impossible to ask with just a diagram or an equation. For instance, if a math question asks you to fit as many small objects into a larger one as is possible, it'd be difficult to demonstrate and ask this with only a diagram. Translating Math Word Problems Into Equations or Drawings In order to translate your SAT word problems into actionable math equations you can solve, you’ll need to understand and know how to utilize some key math terms. Whenever you see these words, you can translate them into the proper mathematical action. For instance, the word "sum" means the value when two or more items are added together. So if you need to find the sum of a and b, you’ll need to set up your equation like this: a+b. Also, note that many mathematical actions have more than one term attached, whichcan be used interchangeably. Here is a chart with all the key terms and symbols you should know for SAT Math word problems: Key Terms Mathematical Action Sum, increased by, added to, more than, total of + Difference, decreased by, less than, subtracted from − Product, times, __ times as much, __ times as many (a number, e.g., â€Å"three times as many†) * or x Divided by, per, __ as many, __ as much (a fraction, e.g., â€Å"one-third as much†) / or à · Equals, is, are, equivalent = Is less than Is greater than Is less than or equal to ≠¤ Is greater than or equal to ≠¥ Now, let's look at these math terms in action using a few official examples: We can solve this problem by translating the information we're given into algebra. We know the individual price of each salad and drink, and the total revenue made from selling 209 salads and drinks combined. So let's write this out in algebraic form. We'll say that the number of salads sold = S, and the number of drinks sold = D. The problem tells us that 209 salads and drinks have been sold, which we can think of as this: S+D= 209 Finally, we've been told that a certain number of S and Dhave been sold and have brought in a total revenue of 836 dollars and 50 cents. We don't know the exact numbers of S and D, but we do know how much each unit costs. Therefore, we can write this equation: 6.50S + 2D = 836.5 We now have two equations with the same variables (S and D). Since we want to know how many salads were sold, we'll need to solve forD so that we can use this information to solve for S. The first equation tells us what S and D equal when added together, but we can rearrange this to tell us what justD equals in terms of S: S+D= 209 Now, just subtractS from both sides to get what Dequals: D = 209−S Finally, plug this expression in for D into our other equation, and then solve for S: 6.50S+ 2(209 −S)= 836.5 6.50S+ 418− 2S= 836.5 6.50S− 2S = 418.5 4.5S = 418.5 S = 93 The correct answer choice is (B) 93. This word problem asks us to solve for one possible solution (it asks for "a possible amount"), so we know right away that there will be multiple correct answers. Wyatt can husk at least 12 dozen ears of corn and at most 18 dozen ears of corn per hour. If he husks 72 dozen at a rate of 12 dozen an hour, this is equal to 72 / 12 = 6 hours. You could therefore write 6 as your final answer. If Wyatt husks 72 dozen at a rate of 18 dozen an hour (the highest rate possible he can do), this comes out to 72 / 18 = 4 hours. You could write 4 as your final answer. Since the minimum time it takes Wyatt is 4 hours and the maximum time is 6 hours, any number from 4 to 6 would be correct. Though the hardest SAT word problems might look like Latin to you right now, practice and study will soon have you translating them into workable questions. Typical SAT Word Problems Word problems on the SAT can be grouped into three major categories: Word problems for which you must simply set up an equation Word problems for which you must solve for a specific value Word problems for which you must define the meaning of a value or variable Below, we look at each world problem type and give you examples. Word Problem Type 1: Setting Up an Equation This is a fairly uncommon type of SAT word problem, but you’ll generally see it at least once on the Math section. You'll also most likely see it first on the section. For these problems, you must use the information you’re given and then set up the equation. No need to solve for the missing variable- this is as far as you need to go. Almost always, you’ll see this type of question in the first four questions on the SAT Math section, meaning that the College Board consider these questions easy. This is due to the fact that you only have to provide the setup and not the execution. To solve this problem, we'll need to know both Armand's and Tyrone's situations, so let's look at them separately: Armand:Armand sent m text messages each hour for 5 hours, so we can write this as 5m- the number of texts he sent per hour multiplied by the total number of hours he texted. Tyrone:Tyrone sent p text messages each hour for 4 hours, so we can write this as 4p- the number of texts he sent per hour multiplied by the total number of hours he texted. We now know that Armand's situation can be written algebraically as5m,and Tyrone's can be written as4p. Since we're being asked for the expression that represents the total number of texts sent by Armand and Tyrone, we must add together the two expressions: 5m +4p The correct answer is choice (C) 5m +4p Word Problem Type 2: Solving for a Missing Value The vast majority of SAT Math word problem questions will fall into this category. For these questions, you must both set up your equationandsolve for a specific piece of information. Most (though not all) word problem questions of this type will be scenarios or stories covering all sorts of SAT Math topics,such asaverages, single-variable equations, and ratios. You almost always must have a solid understanding of the math topic in question in order to solve the word problem on the topic. Let's try to think about this problem in terms of x. If Type A trees produced 20% more pears than Type B did, we can write this as an expression: x + 0.2x = 1.2x = # of pears produced by Type A In this equation, x is the number of pears produced by Type B trees. If we add 20% of x (0.2x) to x, we get the number of pears produced by Type A trees. The problem tells us that Type A trees produced a total of 144 pears. Since we know that 1.2x is equal to the number of pears produced by Type A, we can write the following equation: 1.2x= 144 Now, all we have to do is divide both sides by 1.2 to find the number of pears produced by Type B trees: x = 144 / 1.2 x = 120 The correct answer choice is (B) 120. You might also get a geometry problem as a word problem, which might or might not be set up with a scenario, too. Geometry questions will be presented as word problems typically because the test makers felt the problem would be too easy to solve had you been given a diagram, or because the problem would be impossible to show with a diagram. (Note that geometry makes up a very small percentage of SAT Math.) This is a case of a problem that is difficult to show visually, since x is not a set degree value but rather a value greater than 55; thus, it must be presented as a word problem. Since we know that x must be an integerdegree value greater than 55, let us assign it a value. In this case, let us call x 56 °. (Why 56? There are other values x could be, but 56 is guaranteed to work since it's the smallest integer larger than 55. Basically, it's a safe bet!) Now, because x= 56, the next angle in the triangle- 2x- must measure the following: 56*2 =112 Let's make a rough (not to scale) sketch of what we know so far: Now, we know that there are 180 ° in a triangle, so we can find the value of y by saying this: y = 180 − 112 − 56 y = 12 One possible value for y is 12.(Other possible values are3, 6, and 9.) Word Problem Type 3: Explaining the Meaning of a Variable or Value This type of problem willshow up at least once.It asks you to define part of an equation provided by the word problem- generally the meaning of a specific variable or number. This question might sound tricky at first, but it's actually quite simple. We know that P is the number of phones Kathy has left to fix, and d is the number of days she has worked in a week. If she's worked 0 days (i.e., if we plug 0 into the equation), here's what we get: P = 108− 23(0) P = 108 This means that, without working any days of the week, Kathy has 108 phones to repair.The correct answer choice, therefore, is (B) Kathy starts each week with 108 phones to fix. To help juggle all the various SAT word problems, let's look at the math strategies and tips at our disposal. Want to learn more about the SAT but tired of reading blog articles? Then you'll love our free, SAT prep livestreams. Designed and led by PrepScholar SAT experts, these live video events are a great resource for students and parents looking to learn more about the SAT and SAT prep. Click on the button below to register for one of our livestreams today! SAT Math Strategies for Word Problems Though you’ll see word problems on the SAT Math section on a variety of math topics, there are still a few techniques you can apply to solve word problems as a whole. #1: Draw It Out Whether your problem is a geometry problem or an algebra problem, sometimes making a quick sketch of the scene can help you understand what exactly you're working with.For instance, let's look at how a picture can help you solve a word problem about a circle (specifically, a pizza): If you often have trouble visualizing problems such as these, draw it out. We know that we're dealing with a circle since our focus is a pizza. We also know that the pizza weighs 3 pounds. Because we'll need to solve the weight of each slice in ounces, let's first convert the total weight of our pizza from pounds into ounces. We're given the conversion (1 pound = 16 ounces), so all we have to do is multiply our 3-pound pizza by 16 to get our answer: 3 * 16 = 48 ounces (for whole pizza) Now, let's draw a picture. First, the pizza is divided in half (not drawn to scale): We now have two equal-sized pieces. Let's continue drawing. The problem then says that we divide each half into three equal pieces (again, not drawn to scale): This gives us a total of six equal-sized pieces. Since we know the total weight of the pizza is 48 ounces, all we have to do is divide by 6 (the number of pieces) to get the weight (in ounces) per piece of pizza: 48 / 6 = 8 ounces per piece The correct answer choice is (C) 8. As for geometry problems, remember that you might get a geometry word problem writtenas a word problem. In this case, make your own drawing of the scene. Even a rough sketch can help you visualize the math problem and keep all your information in order. #2: Memorize Key Terms If you’re not used to translating English words and descriptions into mathematical equations, then SAT word problems might be difficult to wrap your head around at first. Look at the chart we gave you above so you canlearn how to translate keywords into their math equivalents. This way, you can understand exactly what a problem is asking you to find and how you’re supposed to find it. There are free SAT Math questions available online, so memorize your terms and then practice on realistic SAT word problems to make sure you’ve got your definitions down and can apply them to the actual test. #3: Underline and/or Write Out ImportantInformation The key to solving a word problem is to bring together all thekey pieces of given information and put them in the right places. Make sure you write out all these givens on the diagram you’ve drawn (if the problem calls for a diagram) so that all your moving pieces are in order. One of the best ways to keep all your pieces straight is to underline your key information in the problem, and then write them out yourself before you set up your equation. So take a moment to perform this step before you zero in on solving the question. #4: Pay Close Attention to What's Being Asked It can be infuriating to find yourself solving for the wrong variable or writing in your given values in the wrong places. And yet this is entirely too easy to do when working with math word problems. Make sure you pay strict attention to exactly what you’re meant to be solving for and exactly what pieces of information go where.Are you looking for the area or the perimeter? The value of x, 2x, or y? It’s always better to double-check what you’re supposed to find before you start than to realize two minutes down the line that you have to begin solving the problem all over again. #5: Brush Up on Any Specific Math Topic You Feel Weak In You're likely to see both a diagram/equation problem anda word problem for almost every SAT Math topicon the test. This is why there are so many different types of word problems and why you’ll need to know the ins and outs of every SAT Math topic in order to be able to solve a word problem about it. For example, if you don’t know how to find an averagegiven a set of numbers, you certainly won’t know how to solve a word problem that deals with averages! Understand that solving an SAT Math word problem is a two-step process:it requires you to both understand how word problems work and to understand the math topic in question. If you have any areas of mathematical weakness, now's a good time to brush up on them- or else SAT word problems might be trickier than you were expecting! All set? Let's go! Test Your SAT Math Word Problem Knowledge Finally, it's time to test your word problem know-how against real SAT Mathproblems: Word Problems 1. No Calculator 2. Calculator OK 3. Calculator OK 4. Calculator OK Answers:C, B, A, 1160 Answer Explanations 1. For this problem, we have to use the information we're given to set up an equation. We know that Ken spent x dollars, and Paul spent 1 dollar more than Ken did. Therefore, we can write the following equation for Paul: x + 1 Ken and Paul split the bill evenly. This means that we'll have to solve for the total amount of both their sandwiches and then divide it by 2. Since Ken's sandwich cost x dollars and Paul's cost x + 1, here's what our equation looks like when we combine the two expressions: x + x + 1 2x + 1 Now, we can divide this expression by 2 to get the price each person paid: (2x+ 1) / 2 x + 0.5 But we're not finished yet. We know that both Ken and Paul also paid a 20% tip on their bills. As a result,we have to multiply the total cost of one bill by 0.2, and then add this tip to the bill. Algebraically, this looks like this: (x + 0.5) + 0.2(x + 0.5) x+ 0.5 + 0.2x + 0.1 1.2x + 0.6 The correct answer choice is (C) 1.2x + 0.6 2. You'll have to be familiar with statistics in order to understand what this question is asking. Since Nick surveyed a random sample of his freshman class, we can say that this sample will accurately reflect the opinion (and thus the same percentages) as the entire freshman class. Of the 90 freshmen sampled, 25.6% said that they wanted the Fall Festival held in October. All we have to do now is find this percentage of the entire freshmen class (which consists of 225 students) to determine how many total freshmen would prefer an October festival: 225 * 0.256 = 57.6 Since the question is asking "about how many students"- and since we obviously can't have a fraction of a person!- we'll have to round this number to the nearest answer choice available, which is60, or answer choice (B). 3. This is one of those problems that is asking you to define a value in the equation given. It might look confusing, but don't be scared- it's actually not as difficult as it appears! First off, we know that t represents the number of seconds passed after an object is launched upward. But what if no time has passed yet? This would mean that t = 0. Here's what happens to the equation when we plug in 0 for t: h(0) = -16(0)2 + 110(0) + 72 h(0) = 0 + 0 + 72 h(0) = 72 As we can see, before the object is even launched, it has a height of 72 feet. This means that 72 must represent the initial height, in feet, of the object, or answer choice (A). 4. You might be tempted to draw a diagram for this problem since it's talking about a pool (rectangle), but it's actually quicker to just look at the numbers given and work from there. We know that the pool currently holds 600 gallons of water and that water has been hosed into it at a rate of 8 gallons a minute for a total of 70 minutes. To find the amount of water in the pool now, we'll have to first solve for the amount of water added to the pool by hose. We know that 8 gallons were added each minute for 70 minutes, so all we have to do is multiply 8 by 70: 8 * 70 = 560 gallons This tells us that 560 gallons of water were added to our already-filled, 600-gallon pool. To find the total amount of water, then, we simply add these two numbers together: 560 + 600 = 1160 The correct answer is 1160. Aaaaaaaaaaand time for a nap. Key Takeaways: Making Sense of SAT Math Word Problems Word problems make up a significant portion of the SAT Math section, so it’s a good idea to understand how they work and how to translate the words on the page into a proper expression or equation.But this is still only half the battle. Though you won’t know how to solve a word problem if you don’t know what a product is or how to draw a right triangle, you also won’t know how to solve a word problem aboutratios if you don’t know how ratios work. Therefore, be sure to learn not only how to approach math word problems as a whole, but also how to narrow your focus on any SAT Math topics you need help with. You can find links to all of our SAT Math topic guideshereto help you in your studies. What’s Next? Want to brush up on SAT Math topics? Check out our individual math guides to get an overview of each and every topic on SAT Math. From polygonsandslopestoprobabilitiesandsequences, we've got you covered! Running out of time on the SAT Math section? We have the know-how to help you beat the clock and maximize your score. Been procrastinating on your SAT studying? Learn how you can overcome your desire to procrastinate and make a well-balanced prep plan. Trying to get a perfect SAT score? Take a look at our guide to getting a perfect 800 on SAT Math, written by a perfect scorer. Want to improve your SAT score by 160 points? Check out our best-in-class online SAT prep program. We guarantee your money back if you don't improve your SAT score by 160 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. If you liked this Math strategy guide, you'll love our program.Along with more detailed lessons, you'll get thousands ofpractice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next. 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