1. (T x C) + 2 = C
   (C/10) + 5 = T
2. T/5 = C
   (T + C)/2 = C

For every 10 tweets, Jeremy receives 2 comments, which means each comment is equal to five tweets. In order to calculate the number of comments (C) on Jeremy's tweets, you just need to divide the total number of tweets (T) by five.

1. Avoided
   Ignored
2. Hinted at
   Thoroughly explained

Allude is a verb that means to indirectly mention something. If you hint at or suggest something without directly mentioning it, it's an allusion. An illusion is a deceptive appearance, and to elude something means to avoid it.

1. 90
   720
2. 180
   360

A full circle is 360 degrees in arc, meaning a semi-circle is 180 degrees in arc. A diameter is a straight line that connects opposite points on a circle and passes directly through the middle. The radius is half of the diameter.

1. Eccentric
   Ecstatic
2. Eclectic
   Erratic

Eclectic is an adjective that describes something influenced by a wide range of sources. Eccentric is something that is weird or unconventional. The words are often incorrectly used interchangeably. Erratic describes an irregular or unconventional pattern, and ecstatic means feeling overjoyed.

1. Ensured ... alter
   Insured ... altar
2. Ensured ... altar
   Insured ... alter

Ensure is a verb that means to promise something and is commonly mistaken for insure, which means to protect s with something financial guarantee. An altar is a piece of furniture often used is ceremonies. To alter something means to change it.

1. 16
   21
2. 36
   26

If (x-1)/5 = b, and b = 5, then x = 26. The no-calculator math section of the SAT is filled with multiple-choice questions like this that can easily be solved by the process of elimination. If you don't know the math, you can just plug in the options until you find the right one.

1. Proposed
   Imagined
2. Erected
   Built

Like many words in English, the word "conceive" has multiple meanings. In this instance, it means to imagine, devise or plan. The other popular meaning of the word is to become pregnant, which doesn't make sense in this example.

1. 90 degrees
   180 degrees
2. 360 degrees
   720 degrees

Every triangle consists of three angles that must equal 180 degrees. It's impossible for a triangle's angles to not equal 180 degrees. This comes in handy when you need to solve geometry questions without a calculator.

1. Egregious
   Frank
2. Nuance
   Blatant

Nuance is most used as a noun that defines a subtle difference. The same word or sentence can have entirely different meanings based on nuance alone. Nuance is the difference between a criminal threat and a joke.

1. Adroit... cultivating
   Treacherous... teeming
2. Feasible... novel
   Lucrative... swarming

Treacherous is an adjective with a couple of meanings, but in this sentence, it describes conditions that have become more dangerous because of hidden or unforeseen dangers. Teem is a verb that means to heavily swarm.

1. Null
   Static
2. Dilemma
   Impartial

A dilemma is a situation where one must choose between two undesirable choices. Woodstock producers misjudged everything and had to decide whether to build a stage or a fence. They decided on the stage and ended up losing a ton of money because a lot of people walked in for free.

1. Enjoyable
   Calm
2. Urgent
   Exhilarating

Dire is an adjective that can be used as an antonym for the word hopeful, but it also can be used to describe an urgent, threatening or dangerous situation. A search mission becomes urgent as the sun begins to set.

1. 8
   6
2. 4
   2

The easiest way to solve this question is to input simple numbers to work with. In this case, we can use the number 10 for "a" and 5 for "b." We can see that (10/5) = 2, and (4 x 5) = 20, and 20/10 = 2. Do this again with different numbers (ex. a = 20, b = 10) to confirm your answer.

1. Area X height
   Length X width X height
2. (Length X 2) + (width X 2)
   Area X height / (1/3)

The largest part of the SAT's math section doesn't allow a calculator, so knowing basic formulas is essential. To find the volume of a rectangular box, you need to solve for the width times the height times the length. The formula for volume changes based on an object's shape.

1. Sparingly ... unadorned
   Peculiar ... adversarial
2. Adequate ... ambitious
   Confide ... treacherous

Sparingly is an adverb that means to dole out in a restricted or limited manner. Decorators given instruction to decorate sparingly should probably employ some minimalism decor. An unadorned house, however, is a house that has no decorations at all.

1. Replace comma with semicolon
   Replace comma with period
2. Remove comma
   No change

No change needs to be made in this sentence. The SAT tests will test you on grammar rules, but will not ask you to define any grammar rules, so you'll need to know how to use them in practice. Fragments, run-ons and comma splices will all be tested.

1. Gains
   Losses
2. Instability
   Stability

The word fluctuate means to rise and fall irregularly. A stock market that is wildly fluctuating is an unstable market and investors may be wary to enter. On the other hand, an unstable market is opportune for big gains, so some investors may dive in headfirst.

1. 3x + 15y
   3x + 5y
2. 5x + 3y
   15x - 2y

If you want to find the number of Instagram posts posted by Allison, you need to multiply x by 3 (3x). To find the total for Jake, you need to multiply y by 5 (5y). Then to find the total, you need to add both of the products (3x + 5y).

1. Raw
   Lucrative
2. Eccentric
   Dreary

Lucrative is an adjective that describes a situation that produces a lot of profit. If Jason can earn $500 to post a picture, and it costs $0 for him to post the picture, he makes a profit of $500 for every picture he posts, which is very profitable, or lucrative.

1. Savvy ... exert
   Ferocious ... null
2. Controversial ... incite
   Rash ... insight

Controversial is an adjective that describes anything that is likely to cause disagreement. Comments or tweets about race or politics can turn controversial very quickly. To incite means to urge, encourage or stir up.

1. Height + Base + Length
   (Base X height) X (1/2)
2. Length x Base
   Length x Width x Height

In order to find the area of a triangle, you need to multiply the base times the height, and then multiply the product by 1/2. If you need to find the area of a rectangle, you simply multiply the length by the width.

1. If he is tall.
   When he is tall.
2. Since he is tall.
   He is tall.

A sentence needs a noun and a verb to correctly express a thought. Writing is a creative art and the best writing is known to break the rules, but that's only after the rules have been mastered. Writing complete sentences is one of the first rules to learn.

1. It's a run-on sentence
   It's a fragment
2. It doesn't make sense
   Nothing

There's nothing wrong with this sentence, although it can be written in a variety of different ways. It's not a run-on or a fragment even though it has very little punctuation and explains very little. Some of the conjunctions can be replaced with commas, but that's a stylistic preference.

1. In an alternate universe
   In the future
2. In a perfect world
   Based on limited evidence

A hypothetical is an educated guess or a proposed explanation based on limited evidence. Animals and objects need wings to fly, so hypothetically, if a person had wings, they could fly. The testing and analysis of a hypothesis is called the scientific method.

1. Petulant
   Savvy
2. Surly
   Coarse

Savvy is a noun, verb and adjective and it is used to describe or define knowledge and understanding. Someone who knows how to efficiently solve any computer problem can be described as someone who is really computer savvy.

1. Obsolete ... reformed
   Hostile ... entailed
2. Austere ... endowed
   Exhilarating ... expended

Exhilarating is an adjective that describes anything that is thrilling or ecstatic. To exhilarate someone is to thrill them or make them happy. Expend is a verb that means to use up or spend. Running a marathon can be exhilarating, but you'll need to expend a lot of energy to finish it.

1. (Radius/3.14) X diameter
   3.14 X (radius X radius)
2. (Diameter + 3)/radius
   (Radius/radius) + 25

Finding the area of a circle is a bit trickier than your average four-sided shape. In order to do so, you need to first find the radius. Once you have the radius, which is half the diameter, you can square it and multiply it by pi, which is commonly written as 3.14.

1. 2
   3
2. 4
   5

A prime number is a positive integer that can't be formed by multiplying two smaller positive integers. For example 2 x 2 = 4, so 4 is not prime, but you can't multiply two numbers to equal 5 unless you use the number 5 (ex. 5 x 1), so 5 is a prime number.

1. Lacks parallel structure
   Run-on sentence
2. Fragment
   Nothing

One of the easiest ways to write a confusing sentence is to neglect parallel structure. In this example, the sentence should read: "The pizza in Naples is far better than the pizza in New York City." The above example compares pizza in Naples to New York City as a whole.

1. Squalid
   Reluctant
2. Erratic
   Austere

Squalid is an adjective that describes a dirty and filthy thing or place. A squalid building resembles a dilapidated warehouse. A squalid attempt to save your dignity is a morally dirty or filthy attempt.

1. New
   A story of fiction
2. Old
   A story of nonfiction

Novel is an adjective that describes something new, unusual or interesting. It's also a noun that defines a full-length work of fiction. An English professor asking for novel ideas could be asking for new ideas or book ideas, depending on the context of the sentence.

1. Demur ... malleable
   Frankly ... feasible
2. Null ... lucrative
   Allow ... austere

To be frank means to be honest and direct. Feasible is an adjective that describes something that's practical and realistic. The teacher's response to James was, "Honestly, it's not practical." Both unfeasible and infeasible are words that mean the opposite of feasible.

1. To give way to
   To produce
2. To slow down
   A production amount

Yield is a verb and noun that has many definitions. If you approach a yield sign while driving, you need to give up your right of way to an opposing lane of cars. Stocks can yield profits, and the amount of corn reaped during a season is called the yield.

1. Base X height
   (1/2) X (length X height)
2. Length X Width X Height
   (1/3) X (area of base X height)

In order to find the volume of a cone or pyramid, you first need to find the area of the base. A cone has a circular base and a pyramid has a rectangular base, so you'll have to use the respective formula. Once you have that, you can multiply it by the height of the cone. Multiply that product by 1/3 to find the total area.

1. Rash
   Insatiable
2. Diligent
   Taut

Taut is an adjective that describes something that is outstretched or pulled tight. A balloon filled to the point of popping is a taut balloon. A piece of rope with no slack is taut. Taut can also be used to describe tight or concise writing.