Friday, November 30, 2012

Sentence Completions

Critical Reading: Sentence Completions

Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole. 

For sentence completion questions, always cover the answers before reading the sentence.  Most of the answers are wrong, designed to throw you off track.  Read the sentence carefully and predict an answer to fill the blank that you find easier.  Eliminate any answer choices that do not match your prediction for that blank, then go back and use the same method with the other blank. 

The world, accustomed to ------- whenever governments change hands, expected rioting and bloodshed; but the transition of power was remarkably ------- .

Start with the second blank if it seems easier to you.  Rioting and bloodshed were expected, but then you have a transition word “but” indicating that a contrast is coming.  What is the opposite of rioting and bloodshed? Predict a word such as “peaceful,” and look down at the second part of each answer choice.

(A) turmoil . . chaotic
(B) harmony . . orderly
(C) ceremony . . solemn
(D) violence . . uneventful
(E) splendor . . unpopular

(A)  Chaotic is the opposite of peaceful.  Eliminate this choice.  (B) Orderly things are often peaceful, so keep this choice.  (C) Does solemn mean peaceful?  If you aren’t sure, keep this choice.  (D) Uneventful and peaceful can be synonyms, so keep this choice.  (E) Unpopular does not mean peaceful.  Eliminate this choice.

Now go back to that first blank.  The world is accustomed to something that causes it to expect rioting and bloodshed.  Those are both really negative things.  If a word connecting both of those things does not immediately come to mind, you can actually answer this problem just by predicting "something negative".  Look down at your remaining answer choices.

(B) harmony . . orderly
(C) ceremony . . solemn
(D) violence . . uneventful

(B) Harmony is a positive word, so you can eliminate this choice.  (C) Ceremonies are for any important event, from a birthday party to a funeral, so this word is neutral.  Eliminate this choice.  (D)  Violence is a negative word and it accurately describes rioting and bloodshed. 

The correct answer is (D).

Words used in this SC:
Turmoil: chaos, disorder
Chaotic: confused and disordered
Harmony: agreement
Orderly: neat or systematic
Ceremony: a ritual or gathering
Solemn: serious, somber
Violence: extreme force causing pain
Uneventful: monotonous, without problems or noteworthy events
Splendor: magnificence, grandeur
Unpopular: not favored


On sat.collegeboard.org, 75% of the responses were correct.

For more help with SAT vocabulary, visit www.myknowsys.com!

Thursday, November 29, 2012

Ratios

Link of the Day

Freedom of the press has long been a hallmark of liberty in the United States.  However, many of the released SAT essay prompts have to do with balancing public and private lives, knowledge as a burden, and the abundance of information available through better technology.  Here is a current event that relates to all of these ideas:  a judge in the UK is calling for an independent group to regulate the press.  Think carefully about this current event, and decide where you stand on the issues that are raised.  If you decide to use this as one of your five current events, you will need to prepare a list of relevant details about this news story and a list of the broad topics that would let you know that this example relates to your essay prompt.

Arithmetic: Ratios

Read the following SAT test question and then select the correct answer. 

Use the same method for every math question on the SAT.  Start by reading the question carefully and identifying the bottom line.  Next, assess your options and choose the most efficient method to attack the problem.  When you have an answer, loop back to make sure that it matches the bottom line that you were asked to find.

Miguel is 180 centimeters tall. At 2:00 p.m. one day, his shadow is 60 centimeters long, and the shadow of a nearby fence post is t centimeters long. In terms of t, what is the height, in centimeters, of the fence post?
Bottom line: fence post = ?
Assess your Options:  Collegeboard.org uses a method that includes drawing the person and the post and then creating two right triangles.  That is a waste of time.  All you need to do is recognize that this is a ratio problem and set up your ratios correctly.
Attack the problem:  Set up the labels that you will use in your ratios so that you do not get confused about which number represents the length of the actual person and which number represents the length of his shadow.  You can set it up as actual divided by shadow:


Plug in the values that you know from the problem.  The only value that you do not know is the height of the post.  Leave that as a question mark so that you know which variable you must isolate.

All you need to do now is solve for the height of the post.  If you divide 180 by 60, the answer is 3.  You will need to multiply both sides by t to isolate the variable.  (Remember, you are solving for the question mark!)  Then you have your answer.



Loop Back:  The ? represented the height of the post in your original ratio, so you solved for your bottom line.  Look down at your answer choices.

(A) t + 120
(B) 

(C) 3t

(D) 
(E) 

The correct answer is (C).


On sat.collegeboard.org, 52% of the responses were correct.

For more help with SAT math, visit www.myknowsys.com!

Wednesday, November 28, 2012

Idioms

Writing: Improving Sentences

Part or all of the following sentence is underlined; beneath the sentence are five ways of phrasing the underlined material. Select the option that produces the best sentence. If you think the original phrasing produces a better sentence than any of the alternatives, select choice A.  

Read the original sentence to yourself, listening for errors.  Evaluate the underlined portion using the Big 8 Grammar Rules.  Focus on the first error that you find in order to eliminate wrong answer choices.

One time a candidate for the Democratic nomination for United States president in 1972, Shirley Chisholm won 152 delegates before withdrawing from the race.

This sentence should sound odd to you as you read it.  It does not logically connect the “candidate” to “Shirley Chisholm,” even though the two are the same person.  You need a way to show that Shirley Chisholm was the candidate, uniting these two thoughts into a single precise sentence.  Look down at your answer choices.

(A) One time
(B) She was
(C) Being
(D) To be
(E) As

(A)  This answer will not be correct because it matches the awkward phrasing of the original.  You don’t even need to read it to eliminate it.

(B)  This choice does not fix your original problem.  In addition, it creates a comma splice: two independent sentences incorrectly joined by just a comma.  Eliminate it.

(C)  The Knowsys Writing Strategies advise you to avoid the word being.  “Being” implies ongoing action, which generally does not make sense in written sentences.  In this particular sentence, we know that Shirley Chisholm is no longer a candidate because she withdrew from the race.  Eliminate this choice.

(D)  This answer choice changes the meaning of the sentence.  Shirley Chisholm did not win delegates before withdrawing from the race in order to become a candidate.  Logically, she must be a candidate before she can win any delegates or withdraw from the race.  Eliminate this choice.

(E)  The word as is the idiomatically correct preposition to show that someone has taken on a specific role in society.  For example, Bob is working as an accountant and Julie is working as a dentist.  In this sentence, you know that Shirley Chisholm must be acting as a candidate in order to win delegates.  This answer choice fixes your original problem by clearly indicating that the candidate and Shirley Chisholm are the same person.

The correct answer is (E).


On sat.collegeboard.org, 69% of the responses were correct.

For more help with SAT writing, visit www.myknowsys.com!

Tuesday, November 27, 2012

Sentence Completions

Link of the Day

The cost of college has become a major topic of debate in the news.  Are you worried about financing higher education?  Here is an article stating that the problem might not be as big as the media makes it seem.  Do you agree with this writer’s perspective?

Critical Reading: Sentence Completions 

Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole. 

Cover up your answers and read the sentence carefully with an open mind.  Make a prediction to fill the blank, and then match that prediction to the correct answer choice.  Eliminate any answer choice that does not match.  Be sure to look at all of your options, even if the first answer seems correct.

The show’s host was usually genial, but he had a reputation for turning ------- when provoked by guests who challenged his opinions.

This sentence is easy if you know what the word genial means; all you have to do is predict the opposite.  However, you can still use logic to fill in the blank if you have no idea what that word means.  How do you feel when you are provoked and challenged?  Not good. Probably angry.  Use a word such as “upset” as your prediction and look down at the answer choices.

(A) surly
(B) intrusive
(C) lenient
(D) convincing
(E) giddy

(A)  You may know that the Latin root “sur” means over, but that is not going to help you much here.  Overly what?  If you don’t know what this word means, keep it.

(B)  You may know a word related to intrusive, intrusion.  People often say the words, “Forgive my intrusion,” so you know that this is a negative word.  However, an intrusion is what causes people to be upset, not a synonym for the word “upset.”  It does not match your prediction, so eliminate it.

(C)  You want people to be lenient when you have done wrong, so the word "lenient" is positive.  You are looking for something negative.  Eliminate this answer choice.

(D)  The word convincing is positive, and who would turn convincing when provoked?  That doesn’t make any sense.  Eliminate this answer choice.

(E)  Giddy just does not sound like an angry word.  Eliminate it.

The correct answer is (A).

This is a good time to talk about the limitations of Latin and Greek roots.  Not all words come from Latin.  The word surly actually comes from the Middle English word “sirly” meaning like a lord (a sir).  Over centuries the meaning changed from lordly to domineering to arrogant to bad-tempered.  Latin roots can help you improve your SAT score, but it is always better to know the definition of a particular word.  This is why the Knowsys program includes common Latin roots, but focuses on commonly tested words. 

Words used in this SC:
Genial: friendly and cheerful
Surly: bad-tempered, unfriendly, irritated
Intrusive: the quality of being unwelcome
Lenient: lax, tolerant, not strict
Convincing: persuasive
Giddy: dizzy or lighthearted


On sat.collegeboard.org, 59% of the responses were correct.

For more help with SAT vocabulary, visit www.myknowsys.com!

Monday, November 26, 2012

Group Problems

Arithmetic: Group Problems

Read the following SAT test question and then select the correct answer. 

Work all math problems the same way so that you can approach even the most difficult problems with confidence.  Start by reading the question carefully.  Many problems have several steps, so you must identify the bottom line: what is the question asking?  Assess your options and choose the most efficient method to attack the problem.  Finally, loop back to make sure that your answer matches the bottom line.

In a community of 416 people, each person owns a dog or a cat or both. If there are 316 dog owners and 280 cat owners, how many of the dog owners own no cat?

Bottom Line: just dogs = ?
When you get to the step where you look at the answers, notice that (E) comes from not reading carefully.  Yes, there are 316 total dog owners, but some of them also own cats.  You must find how many own only dogs.

Assess your Options:  You could try to work backwards using the answer choices, but trying to think about the steps of a problem backwards often leads to mistakes.  You could also realize that this is a problem involving two overlapping groups and draw a Venn Diagram.  Forget those methods because the fastest method is to use the Group Formula.  Take a moment now to memorize this formula if you have not already done so: Total = Group 1 + Group 2 + Neither – Both.

Attack the Problem:  Plug all the information that you know into the formula.  How many total people are there? 416.  Then there are your two groups: Those who own dogs and those who own cats.  Plug in the numbers 316 and 280 to represent these groups.   Now, the problem tells you that “each person owns a dog or a cat or both,” so how many people own neither animal?  Zero.  The only thing that you are not given in the problem is how many people own both a dog and a cat.  Your formula should now look like this:

Total = Group 1 + Group 2 + Neither – Both
416 = 316 + 280 + 0 – B  

That B represents the unknown Both, but you can now solve for it because it is the only variable left in your equation.  Start by simplifying the problem.

416 = 316 + 280 + 0 – B  
416 = 596 – B   (add B to each side to make it positive)
416 + B = 596   (subtract 416 from each side)
B = 180

You have finished one step, but you have not yet reached your bottom line!  Do not look at the answer choices yet or you will be tempted to pick a wrong answer!

You just solved for the number of people who own both a cat and a dog.  How do you find the number of people who own just a dog?  Take the number who own both and subtract it from the total number of dog owners.  Remember that the total number of dog owners was given in the problem as 316.

316 – 180 = 136

Loop Back:  Your second step solved for those who just own dogs, so you are ready to look at your answer choices.

(A) 36
(B) 100
(C) 136
(D) 180
(E) 316

The correct answer is (C). 


On sat.collegeboard.org, 46% of the responses were correct.

For more help with SAT math, visit www.myknowsys.com!

Sunday, November 25, 2012

Sentence Structure

Writing:  Identifying Sentence Errors

The following sentence contains either a single error or no error at all. If the sentence contains an error, select the one underlined part that must be changed to make the sentence correct. If the sentence contains no error, select choice E.

Read the original sentence to yourself, listening for errors.  Next, quickly check the underlined portions of the sentence against the Big 8 Grammar Rules.  Identify and mark any error that you find, but be sure to check all the answer choices before you select one.

The United States is the largest producer of cranberries and cranberry products, most of them are consumed there and in Canada. No error

Reading this sentence as a whole is vital to understanding the problem with it.  This sentence is actually two sentences incorrectly joined by just a comma: a comma splice.  A problem with sentence structure is not going to be noticeable if you just focus on the underlined portions of the sentence.  You cannot simply insert a semicolon in this sentence, so you must find a way to change one of the underlined portions of the sentence to create a dependent clause.

(A)   The underlined verb “is” matches the subject of the sentence, “United States,” because both are singular.  The United States is one country.  There is no problem here.

(B)  The word “largest” modifies the word “producer,” and it is as close as possible to the word it modifies.  There is no error here.

(C)  Remember that the problem with your sentence is structural.  You have two complete sentences each with a subject and verb.  The word “them” functions as the subject of the second sentence, but it refers to something already stated in the first sentence.  If you change this word, you can create a dependent clause after the comma.  Try inserting the word “which” into this blank.  It works!  It fixes your problem while maintaining the meaning of the sentence.  Quickly check your other options.

(D)  The word “there” refers to the United States, which has already been explicitly mentioned in the sentence.  There is no error here.

(E)  This is not an option because you found an error as you were reading.

The correct answer is (C).


On sat.collegeboard.org, 44% of the responses were correct.

For more help with SAT writing, visit www.myknowsys.com!

Saturday, November 24, 2012

Sentence Completions

Critical Reading: Sentence Completions

Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole. 

Always cover up your answer choices before reading the sentence.  Most of them are wrong, and they will distract you and prejudice the way that you read the sentence.  Read the sentence carefully and make a prediction about the kind of answer that you need.  Then you should look at the answer choices and match your prediction to the correct answer choice, eliminating any answers that do not match.  Look at all 5 choices, even if one seems to match right away.

The ------- of drug-resistant strains of bacteria and viruses has ------- researchers’ hopes that permanent victories against many diseases have been achieved.

Take a moment to think about this sentence.  There are two things involved here: drug-resistant bacteria and researchers who want victories against it.  Now think about the relationship between the two blanks.  If something good happens to the bacteria, what happens to the researchers’ hopes?  They are crushed.  If something bad happens to the bacteria, what happens to the researchers?  They are happy!  Basically, you need both a positive word and a negative word to complete this sentence.  That means that you can eliminate any answer choice with two positive words, two negative words, or even any neutral words.  Look down at your answer choices and try to determine whether the words used are positive, negative, or neutral.  Writing a plus or minus sign next to the words can keep you focused and help you quickly see choices to eliminate.  Many times you will not need to know the meaning of a word to eliminate it!

(A) vigor . . corroborated
(B) feebleness . . dashed
(C) proliferation . . blighted
(D) destruction . . disputed
(E) disappearance . . frustrated

(A)  Look at the word vigor.  Remember that the Latin roots vit and viv both mean life.  While you don’t have a perfect match to these roots here, it is okay to connect the beginning letters “vi” with life and mark this as a positive word.  Then look at the word corroborated.  The Latin prefix cor- is like the prefix con-: it means together.  Words that mean together generally give people warm fuzzy feelings, so this word seems positive.  You have two positive words (+, +), so you can eliminate this answer choice.

(B)  Feebleness is negative, and dashing hopes is definitely bad.  You have two negative words (-, -), so you can eliminate this choice.

(C)  The word proliferation should sound very positive to you because it has the Latin root pro (for) in it.  Try to think if you have ever heard the word blighted before.  Blighted crops?  That is a bad thing.  This answer choice contains a positive and a negative word (+, -), so keep it and quickly check the other answer choices.

(D)  The word destruction has the prefix de- in it, meaning down.  Tearing something down is negative.  The word dispute has the prefix dis-, meaning apart or away.  Think of the word disagreement and mark it as negative.  You can eliminate this answer choice because it has two negative words (-, -).

(E)  Disappearances are usually bad for whatever disappeared, and frustration is always a bad feeling. Both of these words are negative (-, -).  Eliminate this answer choice.

The correct answer choice is (C).

Words used in this SC:
Vigor:  active strength and energy, or healthy growth
Corroborated: confirmed, strengthened, supported
Feebleness: weakness
Dashed: broken, often violently (The SAT loves multiple-definition words!)
Proliferation: growth
Blighted: wilting or deteriorating
Destruction: tearing down
Disputed: argued
Disappearance: action of vanishing
Frustrated: disappointed and discontent


On sat.collegeboard.org, 54% of the responses were correct.

For more help with SAT vocabulary, visit www.myknowsys.com!

Friday, November 23, 2012

Algebra: Equations

Algebra: Equations

Read the following SAT test question and then select the correct answer.

Math problems require you to read carefully. Identify the bottom line, what the question is asking, and assess your options for solving the problem. There are often multiple ways to solve a problem, but you should be as efficient as possible. Choose a method to attack the problem, then loop back to make sure that you solved for the bottom line.

If  , what is the value of 4n?

Bottom Line: 4n =

Assess your Options You could solve for n and multiply by 4, or you could find a way to solve the equation for 4n. The latter method will save you time because you do not have to do the extra step of multiplying by 4. Both ways will work, but on a timed test you should choose the faster method.

Attack the Problem: Go ahead and cross multiply so that you have the equation 24n = 15 × 4. In other words, 24n = 60. Now, if you were solving for n you would have to deal with a decimal or fraction. Instead, look at the equation that you have. You know that 24 and 60 are both multiples of 4, so it would be easier to solve for 4n than to solve for n. What do you have to multiply by 4 in order to get 24? 6. All you have to do is divide each side of your equation by 6, and you will get 4n = 10.

Loop Back: You solved for your bottom line, so you are ready to look at the answer choices.

(A) 6

(B) 10

(C) 12

(D) 30

(E) 60

The correct answer is (B)


Note: If you went to collegeboard.org on November 23rd, a programming error would have given you an incorrect answer. Collegeboard.org corrected this error the following day.


On sat.collegeboard.org, 31% of the responses were correct.

For more help with SAT math, visit www.myknowsys.com!

Thursday, November 22, 2012

Pronouns

Writing: Improving Sentences

Happy Thanksgiving!

Part or all of the following sentence is underlined; beneath the sentence are five ways of phrasing the underlined material. Select the option that produces the best sentence. If you think the original phrasing produces a better sentence than any of the alternatives, select choice A.  

Read the sentence to yourself, listening for errors.  Evaluate the underlined portion of the sentence using the Big 8 Grammar Rules.  Focus on the first error that you find in order to eliminate wrong answer choices.

They determine the color and flavor of honey by the flowers from which the nectar is taken.

Did you find a problem in the original sentence?  Who is “they?”  Not only is there not an antecedent for this pronoun, but there is also not a reason to have a pronoun or noun here.  There is no group of people (or even animals) who determines the color and flavor of honey; the sentence already tells us that these things are determined by the flowers.  Mark the problem that you found.  Realize that you cannot just take out the word “they” without creating new problems in the sentence.  You will have to rearrange the sentence in order to continue using that verb “determine.”  If you cross out “They determine,” where could you add that verb back into the sentence so that it remains a complete sentence?  Take a look at your answer choices to see whether they address the pronoun problem that you found in the sentence.

(A) They determine the color and flavor of honey by the
(B) Honey’s color and flavor is determined by which
(C) Honey’s color and flavor determined by those
(D) The color of honey, and its flavor, determined by the
(E) The color and flavor of honey are determined by the

(A)  You don’t need to reread this option because it matches the original.  Eliminate it.
(B)  There is an extra and unnecessary “which” in this answer choice.  If you select this answer choice, you will have the word “which” twice in the sentence, confusing the meaning of the sentence.  You did not find an error in the phrase “by the flowers,” so there is no need to change it.  Eliminate it. 
(C)  The word “those” is unnecessary.  Also, remember that the Knowsys Writing Strategies tell you to avoid words that end in –‘s.  It is awkward to say that honey possesses its own color and flavor.  Can honey really possess anything when it is only a product of a process?  Eliminate it. Note: this logic would also have worked to eliminate answer choice (B).
(D)  This choice lacks a verb, and it also makes the flavor of the honey less important than the color of the honey.  That is not true in the original sentence where both are given equal weight.  Eliminate it.
(E)  There are no problems with this answer choice.  It is clear and precise.

The correct answer is (E).


On sat.collegeboard.org, 76% of the responses were correct.

For more help with SAT writing, visit www.myknowsys.com!

Wednesday, November 21, 2012

Sentence Completions

Critical Reading: Sentence Completions

Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole. 

Always cover up your answer choices so that you can approach the sentence with an open mind.  Read the sentence carefully, using context clues to predict what belongs in the blank.  Then you can match your prediction to the correct answer and eliminate any answer choices that do not match.  Be sure to look at all 5 answer choices even if the first one seems to match.

Paradoxically, this successful entrepreneur is sometimes ------- and at other times reclusive.

The word “paradoxically” lets you know that this sentence will contain a contrast.  You don’t really have to know what the word entrepreneur means.  Sometimes this person is one thing and sometimes he is reclusive.  What is the opposite of reclusive?  I like to connect the word “recluse” with the word “hermit;” a recluse shuts himself or herself out of society.  Predict a word such as “outgoing” to fill the blank and look down at your answer choices. 

(A) autonomous
(B) dispassionate
(C) solitary
(D) unthinking
(E) gregarious

(A) The Latin root “auto” means self, so this answer choice will not have anything to do with interacting with others.  Eliminate it.  (B)  Passion does not really have anything to do with being alone or being with others.  You can be passionate in either situation.  Eliminate it.  (C) The Latin root “sol” can mean sun, but it can also mean alone, as in solitary.  This is the opposite of your prediction.  Eliminate it.  (D)  This answer choice is just in case you read the sentence too quickly and thought that you were looking for the opposite of a successful entrepreneur.  Entrepreneurs think a lot to be successful, right?  So maybe the opposite would be unthinking.  Before you start trying to justify the answer, notice that it does not match your prediction and eliminate it.  (E)  The Latin root “greg” means group.  Participating in a group would be evidence of outgoing behavior, and it is the opposite of being reclusive.  This perfectly matches your prediction.

Words used in this SC:
Paradoxically: in a self-contradicting manner
Entrepreneur: someone who organizes or starts a business
Reclusive: withdrawn, preferring isolation
Autonomous: self-governing
Dispassionate: not showing or feeling emotion
Solitary: living alone
Unthinking: careless
Gregarious: outgoing and sociable


On sat.collegeboard.org, 65% of the responses were correct.

For more help with SAT vocabulary, visit www.myknowsys.com!

Tuesday, November 20, 2012

Functions

Link of the Day

How do medical breakthroughs happen?  How do you feel about animal testing?  A few dogs that were once paralyzed are now walking again with the aid of some cells from healthy dogs.  Scientists recognize that they are not ready to apply their findings to humans with spinal cord injuries, but they are hopeful about the future.  This development would make a great current event example for your SAT essay.  If you choose to use it as a current event, take notes detailing the facts in this article and how you could apply them to a wide variety of topics.

Algebra: Functions

Read the following SAT test question and then select the correct answer. 

Take the time to read math questions carefully because this will save you from wasting time as you solve the problem.  Start by identifying the bottom line and assessing your options for reaching it.  Choose the most efficient method to attack the problem.  When you think you have an answer, loop back to make sure that it matches the bottom line.
  • f(2n) = 2f(n) for all integers n
  • f(4) = 4
If f is a function defined for all positive integers n, and f satisfies the two conditions above, which of the following could be the definition of f?

Bottom line: f(n) = ?

Assess your options:  You could start by plugging in f(4) to see which of your answer choices results in the number 4, then check any that do against the first condition.  This is the method recommended by collegeboard.com.  However, this requires multiple steps as you compare each answer choice to both conditions.  Instead, take a moment to think logically about the two conditions that you are given.

Attack the problem:  Start with the second condition because it is already in a format that is easy to use.  If f(4) = 4 and you can use the same variable to represent numbers that are the same,  that is the same as saying that f(n) = n.  Now look at the first condition and think about it logically.  If you multiply the variable within the function by 2, that gives you the same number as multiplying the result of the function by 2.  In order for those two numbers to be the same, the final result of the function has to match the number that is plugged into the function.  In other words, f(n) = n.  Both conditions give you the same definition of the function.

Loop Back:  You found a simple way to define both of the conditions for f(n), so look down at your answer choices.

(A)  f(n) = n - 2
(B)  f(n) = n
(C)  f(n) = 2n
(D)  f(n) = 4
(E)  f(n) = 2n – 4

On sat.collegeboard.org, 46% of the responses were correct.

For more help with SAT math, visit www.myknowsys.com!

Monday, November 19, 2012

Sentence Structure

Writing: Identifying Sentence Errors

The following sentence contains either a single error or no error at all. If the sentence contains an error, select the one underlined part that must be changed to make the sentence correct. If the sentence contains no error, select choice E. 

Read the whole sentence to yourself, listening for errors.  Then quickly check each underlined portion of the sentence against the Big 8 Grammar Rules.

Every day, millions of tiny stony bits falling quietly into the atmosphere, burning briefly asmeteors, and leaving behind a vaporized residue that filters slowly to Earth. No error

(A)   When you read the sentence, you should notice that it is a fragment.  Fragments sound as if they should continue because they lack either a subject or a verb.  Start by identifying the main subject in the sentence.  The main subject is “millions of tiny stony bits.”  What is the main verb?  Right now it is in the wrong form: “falling.”   You cannot put the subject and verb together to create a whole sentence: millions of tiny stony bits falling.  Remember that the Knowsys handbook reminds you to check any word ending in –ing to be sure that the –ing is necessary.  Instead of “falling” you need the words “are falling” or simply “fall.”  Mark this error and quickly look at the rest of the underlined portions.

(B)  Anytime the word “as” is underlined, think about whether the word “like” belongs there instead.  These stone bits are not “like” meteors, they are meteors!  The word “as” can be used to show that something is acting in a particular way.  For example, I can act as a guide and my friend can be hired as a tutor.  There is no error here.

(C)  This answer choice requires you to think about idioms.  The phrase “leave behind” is a common English idiom that can mean anything from forgetting something, to passing something on a journey.  In this sentence “leaving behind” actually means leaving a trace of something, which is exactly what those burning rocks do: they leave a trace of vaporized residue.  This idiom is used correctly, so there is no error here.

(D)  This underlined portion contains an adverb; remember those things ending in –ly?  This particular adverb modifies how a vaporized residue filters.  It is also placed as close as possible to the word that it modifying.  There is no error here.

(E)  This choice cannot be the answer because you have already identified an error.

The correct answer is (A).


On sat.collegeboard.org, 74% of the responses were correct.

For more help with SAT writing, visit www.myknowsys.com!

Sunday, November 18, 2012

Sentence Completions

Link of the Day

Although most people agree that taking care of the planet is important, individuals and businesses often disagree about the best use of resources.  Clean air also costs money as companies work to find ways to keep their carbon emissions low.  It has been incredibly difficult to motivate care for the environment through legislation, which is one reason that many states and nations are watching California's new plan.  Read about the plan here, and be sure to think about how the broad themes involved in this current event could relate to an SAT essay prompt.

Critical Reading: Sentence Completions

Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole. 

Cover your answer choices so that you can carefully read the sentence without any kind of bias.  When you see two blanks, select the blank that looks easier and focus on it first.  Make a prediction for that blank and eliminate any answer choices that do not match your prediction.  Then use the same process with the other blank.

While a “rock” is usually defined as ------- , or a combination, of one or more minerals, geologists often ------- the definition to include such materials as clay, loose sand, and certain limestones.

The first blank is a simple vocabulary question, so look at it first.  The word “or” signifies that an alternative is coming, so the words “a combination” is an alternative to whatever goes in the blank.  You can just use the words “a combination” as your prediction and look down at the options for the first blank.

(A) a conglomeration . . limit
(B) an aggregate . . extend
(C) an element . . eliminate
(D) a blend . . restrict
(E) a product . . provide

(A) If you know your Latin roots, you know that the prefix “con” often means “with” or “together.”  This word could be a combination of things, so keep this answer choice.  (B) Here are more Latin roots: “ag” and “greg.” The first prefix, “ag,” can mean “toward” or “in addition to,” while the second, “greg,” means “group.”  This word probably has to do with combining things.  Keep it.  (C) Think about elements in science.  They are as basic as they can be – they are not a combination of other things.  Eliminate this answer choice.  (D)  The word “blend” requires two things to come together, so it could work too.  (E)  The word product does not immediately bring to mind a combination of things, but in math the product of two numbers is a third.  Keep this answer choice if you are not sure that you can eliminate it.

Now look at the second blank.  This blank requires you to use some logic.  The first definition for the word “rock” was very specific, but now geologists are saying that other things can also be considered rocks.  They are stretching that definition or increasing it.  You might predict the word “broaden” before looking down at your remaining answer choices.

(A) a conglomeration . . limit
(B) an aggregate . . extend
(D) a blend . . restrict
(E) a product . . provide

(A) is the opposite of your prediction.  Eliminate it.  (B) matches your prediction.  (D) is also the opposite of your prediction.  Eliminate it.  (E) is not specific enough.  An original definition was already provided, what was important in the second blank is that it was changed to add more stuff.  This answer shows no evidence of any kind of change.  Eliminate it.

The correct answer is (B).

Words used in this SC:
Conglomeration: a cohering mass of different materials
Aggregate: a collection of things into one whole or total
Element: an essential part
Blend: a mixture of two or more things
Product: something created by a process
Extend: to expand or increase
Restrict: to limit or confine


On sat.collegeboard.org, 57% of the responses were correct.

For more help with SAT vocabulary, visit www.myknowsys.com!

Saturday, November 17, 2012

Triangles

Geometry: Triangles

Read the following SAT test question and then select the correct answer. 

You should start by reading the problem carefully and identifying your bottom line.  Then assess your options and choose the most efficient method to attack the problem.  Finally, loop back to make sure that the answer you found matches the bottom line that you set out to find.

Which of the following CANNOT be the lengths of the sides of a triangle?

Bottom Line: The word “CANNOT” tells you that you are looking for something that is not true.

Assess your Options:  Problems that ask you to find what cannot be true are often impossible to predict; you will have to look at the answer choices to determine whether they work.  Go ahead and look at the answers.

(A) 1, 1, 1
(B) 1, 2, 4
(C) 1, 75, 75
(D) 2, 3, 4
(E) 5, 6, 8

You could try to use logic and your experience with triangles to eliminate some choices.  For example, answer choice A is not the answer because you know there is such a thing as an equilateral triangle and the sides 1, 1, and 1 would create that kind of triangle.  However, after that point you would probably just be guessing.  If you know the Triangle Inequality Theorem, you can systematically check each answer choice.

Attack the problem:  When you are dealing with three sides of a triangle and you do not know that the triangle is a right triangle, you should always think of the Triangle Inequality Theorem.  This theorem states that for any triangle, side x is less than the sum and greater than the difference of the other two sides.  In other words, each side of the triangle must be less than the other two sides added together and greater than the difference of the other two sides.  If you have a triangle with sides x, y and z, you would write the theorem this way:
|yz| < x < y + z. For the subtraction part you can use absolute value or just always do the bigger side minus the smaller side; the result will be the same. The easiest way to think about the theorem is this: for any triangle, other sides subtracted < one side < other sides added.

Start by checking (E).  It has sides 5, 6, and 8.  Plug these sides into your formula by using the first side, 5, as your x.  Make sure that 5 is greater than the difference of the other two sides, but smaller than the other two sides added together.

|y – z| < x < y + z
8 - 6 < 5 < 6 + 8 
2 < 5 < 14
This is true!  (E) works as a triangle.

Now check (D). It has sides 2, 3, and 4.  Plug those numbers into the Inequality Theorem.
 |y – z| < x < y + z
4 – 3 < 2 < 3 + 4
1 < 2 < 7
This is true!  (D) works as a triangle.

Now check (C).  It has sides 1, 75, and 75.  Plug those numbers into the Inequality Theorem.
|y – z| < x < y + z
75 – 75 < 1 < 75 + 75
0 < 1  < 150
This is true!  (C) works as a triangle.

Now check (B).  It has sides 1, 2, and 4.  Plug those numbers into the Inequality Theorem.
|y – z| < x < y + z
4 – 2 < 1 < 2 + 4
2 < 1 < 6.
Is 2 less than 1?  No!  This is false.  You cannot have a triangle with these three side lengths.

Loop Back:  Your bottom line was to find an answer choice that cannot be a triangle, so you are finished!

The correct answer is (B).

On sat.collegeboard.org, 49% of the responses were correct.

For more help with SAT math, visit www.myknowsys.com!