Term
Prime Numbers between 0 and 20 (8) 

Definition


Term
Prime Numbers between 21 and 40 (4) 

Definition


Term
Prime Numbers between 41 and 60 (5) 

Definition


Term
Prime Numbers between 61 and 80 (5) 

Definition


Term
Prime Numbers between 81 and 100 (3) 

Definition


Term

Definition
The list of numbers that appear most frequently. 


Term
This formula is used to determine the number of unordered subgroups of k items that can be selected from a group of n different items, where k < n 

Definition
The cominations formula,
[image] 


Term
This formula gives the number of ordered subgroups of r items that can be made from a set of n different items, where r < n 

Definition
The permutations formula,
[image] 


Term

Definition


Term
To find the probability that one or another of two mutually exclusive events occurs... 

Definition
add the probabilites of the two events. 


Term
To find the probability that one and another of two mutually exclusive events occur... 

Definition
multiply the probabilities of the two events. 


Term

Definition
x^{2 } y^{2 }= (x+y)(xy)
(x+y)^{2} = (x+y)(x+y) = x^{2} + 2xy + y^{2}
(xy)^{2} = (xy)(xy) = x^{2}  2xy + y^{2} 


Term
Combined work formula, for more than two workers 

Definition
[image]
Where [image], [image] and [image] are the times taken by A, B and C respectively to complete the task alone and [image] is the time taken by them to complete the task when they are all working together. 


Term
Solving for quadratic equations
ex. x^{2} + x 6 = 0 

Definition
sum of the two numbers equals the middle constant, and the product of the two number equals the third contant.
(x+3)(x2) 


Term

Definition
Whatever the numerator is in the fraction, the outcome will be infinite of itself
ex. ^{2}/_{9} = .22222 or ^{8}/_{9} = .88888 


Term

Definition
^{1}/_{8 }= .125, each then increase by .125 


Term

Definition
^{1}/_{6} = .16666, then each increase by .16666 


Term

Definition
^{1}/_{7} = .142, then each increase in the numerator increases by .142 


Term

Definition
The product of a given integer and another integer.
ex. Multiples of 4 are, 4, 8, 12, 16,.... 


Term

Definition
An integer that divides another integer without leaving a remainder.
ex. 3 is a factor of 12 because ^{3}/_{12} = 4, without a remainder 


Term
Combined work formula, for two workers 

Definition


Term

Definition
Principal x (1+rt)
r=rate, t=time 


Term
Compound interest formula 

Definition
Principal x (1+r)^{t}
r=rate, t=time 


Term
Overlapping sets formula, for only 2 groups 

Definition
total = group 1 + group 2  both + neither 


Term

Definition
PEMDAS
parenthesis, exponents, multiply/divide, addition/subtraction 


Term
Quadratic equations: FOIL 

Definition
First, Outer, Inner, Last 


Term
Systems of linear equations rules 

Definition
to solve for all of the variables in a systems of equations, we must have at least as many distinct linear equations n as we have distinct variables n.
Two ways to solve:
1) substitution solve one equation for one fothe variables and substitute that variable into the other
2) combination add or subtract one equation from the other to cancel out one of the variables 


Term
Inequalities should be treated exactly as equations with two exceptions 

Definition
1) When we multiply or divide an inequality by a negative number, we must reverse the direction of the inequality sign
2) Singlevariable equations are usually solved for a specific value, whereas inequalities can only be solved for a range of values 


Term

Definition


Term
Average formula, for speed 

Definition
average speed = total distance
total time 


Term
Side proportions of special right triangles to recognize 

Definition


Term
Formula for the area of a triangle. 

Definition


Term
Interior angles of a triangle always add up to? 

Definition


Term
What does the external angle of a triangle always add up to? 

Definition
The sum of the two noncorresponding internal angles. 


Term
What ratio is the side length of a 306090 right triangle? 

Definition


Term
What ratio is the side length of a 454590 right triangle? 

Definition


Term

Definition
The longest side of a right sided triangle. 


Term
Sum of interior angles of a polygon 

Definition


Term

Definition
^{1}/_{2}(sum of the bases)(height) 


Term

Definition


Term
Circumference of a circle 

Definition


Term
Area of a sector of a circle 

Definition
Area = ½ × r^{2} × θ
r=radius
θ = angle of sector 


Term
Lenght of an arc of a circle and sector of circle 

Definition
^{x}/_{360} = ^{arc}/_{C} = ^{sector}/_{A}
X = angle measurement
C = circumference
A = area of circle 


Term

Definition
m = rise = y_{1}  y_{2}
run x_{1}  x_{2} 


Term

Definition
y=mx+b
m = slope
b = yintercept 


Term
In coordinate geometry, when two lines are perpendicular their slopes are 

Definition
negative reciprocals
line with the slope 2 has a negative reciprocal of ^{1}/_{2, }and makes the line perpendicular 


Term

Definition
When picking numbers, avoid picking numbers that appear in the question stem. 


Term

Definition
When dealing with variables in exponents, find a common base. 


Term

Definition
When a Data Sufficiency question involves a number's absolute value, remember that the number itself may be negative. 


Term

Definition
Be comfortable with positive/negative rules forwards and backwards. A negative resulf of a product means you multiplied a positive and a negative. 


Term

Definition
Use the Least Common Denominator when picking numbers with fractions. 


Term

Definition
Picking numbers is a very powerful strategy when solving for odds and evens, divisibility, and similar number properties.



Term

Definition
For "which of the following" questions, generally the answer choice is in the bottom, (D & E). 


Term

Definition
Pay attention to the spread of the answer choices to help you determine which answer choice to evaluate next. 


Term

Definition
Symbol problems are substitution problems in disguise. 


Term

Definition
Let the Data Sufficiency question's information tell you in what form to manipulate the statements. 


Term

Definition
Absolute values are always 0 or a positive number. They are never negative 


Term
Data Suffiency
Insufficient 

Definition
Half the time statements (A) and (B) are both insufficient. 


Term
Data Suffiency
Hard Questions 

Definition
Skip statements that you do not understand.
Eliminate as much as possible. 


Term
First Data Sufficiency (DS) Questions 

Definition
Calculate out the first DS questions to make sure they are correct. It is important to start out the section strong. 


Term
Data Suffiency
Hard Questions 

Definition
On harder DS questions, answer choices tend to be more sufficient than they might appear.
• DON’T CHOOSE (E) if you have to guess.
• Pick between (A) or (C), if you can eliminate (B).
• Historically, (A) is slightly more common as the right answer. 


Term

Definition
For a system with
n variables:
• If you have as many distinct linear equations as you have variables, you can answer ANY question about the system.
• If you are only asked to solve for part of the system, you don’t necessarily need all
n equations.
• If you are asked to solve for a relationship instead of the value of variables, you don’t necessarily need all
n equations. 


Term

Definition
A verb or compound verb asserts something about the subject of the sentence and express actions, events, or states of being. 


Term

Definition
A noun is a word used to name a person, animal, place, thing, and abstract idea. 


Term

Definition
A pronoun can replace a noun or another pronoun. You use pronouns like "he," "which," "none," and "you" to make your sentences less cumbersome and less repetitive. 


Term
Finding the Subject of a sentence. 

Definition
A someone must be a person and a something must be a thing, place, or idea. So guess what? The subject is usually a noun because a noun is a person, place, thing, or idea. Although, sometimes the subject is a pronoun such as he, they, it, and so forth.
One way to think about the subject is to say that the subject is the who or what part of the subjectverb pair. The subjectverb pair is the main idea of the sentence, stripped to essentials 


Term
Sentence Correction
Present Perfect verb tense 

Definition
 "have" or "has" followed by past tense verb
 describes an action that began in the past but continues into the present



Term
Sentence Correction
past perfect


Definition
 "had" followed by a verb in the past tense
 used when there are two actions in the sentence, describes an action that stared in the past and ended in the past



Term
Sentence Correction
Modifiers 

Definition
 part of a sentence that provides more information about a person or thing in the sentence
 should be as close as possible to the noun it is modifying



Term
Sentence Corrections
Challenging Pronouns 

Definition
 "that" is restrictive; what follows is necessary to the subject of the clause.Ex. The car that is parked next to the fire hydrant, will be ticketed.
 "which" is nonrestrictive; using which determines the information that follows is irrelevant to the suject of the clause. Ex. The car which is red, will be ticketed.



Term
Sentence Correction
Parallel Structure 

Definition
 A sentence maintains parallel structure when its components maintain consistent grammatical structure.
 Generally tested with a list or a 2part idiom.



Term
Sentence Correction
Passive voice 

Definition
Passive voice: The cake was bought by Alison.
Active voice: Allison bought the cake. 


Term
Sentence Correction
Redundancy 

Definition
A sentence is redundant when a word or phrase in a sentence unnecessarily repeats meaning. 


Term
Sentence Correction
Wordiness 

Definition
Wordiness errors arise when meaning is conveyed in a roundabout manner, meaning may not be duplicated, but its not conveyed in the most efficient way possible 


Term
Sentence Correction
Idioms 

Definition
as...as
between...and
regard...as



Term
Sentence Correction
Misused words: less/fewer 

Definition
Use less to talk about things we cant count
Use fewer to talk about things we can count 


Term
Sentence Correction
Misused words: number/amount 

Definition
Use number to talk about things we can count
Use amount to talk about things we cant count 


Term
Sentence Correction
Misused words: between/among 

Definition
Use between when only two options are available
Use among when more than two options are available 


Term
Sentence Correction
Misused words: whether/if 

Definition
Whether is correct when we're discussing two options
If is correct for more than two options. 


Term
Sentence Correction
Comparisons 

Definition
Comparisons in sentences need to be like terms, people compared to people.
Common indicators of comparisons: like, unlike, similar to, as, so, in contrast to 


Term

Definition
Odd + Odd = Even Odd x Odd = Odd
Even + Even = Even Even x Even = Even
Odd + Even = Odd Odd x Even = Even
And mulitplication
involving an even
# creates and even
product 


Term

Definition


Term

Definition

