How can we help?

You can also find more resources in our Help Center.

for any 2 sets A and B, the UNION of A…

the intersection of A and B is.

the union is denoted by

the intersection is denoted by

the set of all elements that are in A or in B or in both

the set of all elements that are in both A and B

A U B

A (upside down U) B

for any 2 sets A and B, the UNION of A…

the set of all elements that are in A or in B or in both

the intersection of A and B is.

the set of all elements that are in both A and B

How do you find the surface area of a…

How do you find the volume of a rectan…

Surface Area Example: (draw it out and…

Volume Example:... Find the Volume of a R…

Calculate the areas of each side and add them up.

Volume = length · width · height... or... Volume = (area of base) ·…

Answer: ... SA = 2(3·4) + 2(3·8) + 2(4·8) = 136... multiply each ar…

Answer:... V = 3 · 4 · 8 = 96

How do you find the surface area of a…

Calculate the areas of each side and add them up.

How do you find the volume of a rectan…

Volume = length · width · height... or... Volume = (area of base) ·…

Adding & Subtracting fractions

Multiplying fractions

Dividing fractions

Exponent properties positive

Must have a common denominator

a/b x c/d = ac/bd

(a/b)/(c/d)=a/b x d/c = ad/bc

Raising a positive fraction less than 1 to a positive exponen…

Adding & Subtracting fractions

Must have a common denominator

Multiplying fractions

a/b x c/d = ac/bd

standard deviation

formula for solving: S = {A, B, C, D,…

exponent rules: (x^r)(x^s) =

exponent rules: (x^r)/(x^s) =

1) calculate the mean... 2) find the difference between the mean…

n! / (k!(n-k)!)... =5! / (2!*3!)... =120 / 12... =10

x^(r+s)

x^(r-s)

standard deviation

1) calculate the mean... 2) find the difference between the mean…

formula for solving: S = {A, B, C, D,…

n! / (k!(n-k)!)... =5! / (2!*3!)... =120 / 12... =10

P.E.M.D.A.S.

Numerator

Denominator

Mixed Number

Rule for Order of Operations.... Order = P > E > M & D (L to R)…

Top # of a fraction = "part".

Bottom # of a fraction = "whole".

Number made up of both an integer and a fraction.

P.E.M.D.A.S.

Rule for Order of Operations.... Order = P > E > M & D (L to R)…

Numerator

Top # of a fraction = "part".

Integer

Prime number

Factor/Divisor

Quotient

Whole number (not fraction)

Positive number can only be divided by self and 1

Number that can be divided into another number

How many timex a number can be divided into another

Integer

Whole number (not fraction)

Prime number

Positive number can only be divided by self and 1

Dividing by 5

double and halving

squaring shortcuts

doubling an area of a square and how t…

1. if a number is divisible by 5 you can always multiply it b…

1. if you have 2 numbers that need to be multiplied and one i…

1. multiples of ten are easy. you just multiply the base unit…

Mupltiply the origional sum by 8 which is 2^3

Dividing by 5

1. if a number is divisible by 5 you can always multiply it b…

double and halving

1. if you have 2 numbers that need to be multiplied and one i…

An integer whose only factors are 1 an…

What is the smallest and only even pri…

T/F: Every positive number can be fact…

What is the smallest member of the com…

prime number

2

True

Least common multiple

An integer whose only factors are 1 an…

prime number

What is the smallest and only even pri…

2

Integer... Positive Integer / Negative In…

Sum of the angles of a triangle is?

a - b = - (b - a)

Multiples

is a number that can be written without a fractional componen…

180

...

Multiple of 3 are 3 (=3 ** 1), 6 (=3 ** 2), 9(=3**3), 12(=3**4),…

Integer... Positive Integer / Negative In…

is a number that can be written without a fractional componen…

Sum of the angles of a triangle is?

180

Absolute Value

General rule about variables

0^x

1^x

-Generally have two solutions... -+/-... -isolate expression in bra…

if you need to solve for n variables you need n equations

0

1

Absolute Value

-Generally have two solutions... -+/-... -isolate expression in bra…

General rule about variables

if you need to solve for n variables you need n equations

Distance

Basic Probability Formula

Probability of Both things happening

Probability of one or the other thing…

Rate x Time = Distance

Number of outcomes you want / total number of possible outcomes

Probability A x Probability B = Both things happening

Probability A + Probability B = One or the other thing happen…

Distance

Rate x Time = Distance

Basic Probability Formula

Number of outcomes you want / total number of possible outcomes

Integer

+/- multiplication rules

Digits

Remainders

a number that can be written without a factorial component... 21…

positive X positive = +... negative X negative = +... negative X po…

there are 10... 0,1,2,3,4,5,6,7,8,9... 246.5... 2: hundreds digit... 4: t…

if an integer cannot be divided evenly by another integer, th…

Integer

a number that can be written without a factorial component... 21…

+/- multiplication rules

positive X positive = +... negative X negative = +... negative X po…

Kaplan Method for Problem Solving

Signals to pick numbers

6 Guessing Strategies

Data Sufficiency Strategy

1. Analyze the question... 2. State the task... 3. Approach strateg…

1. Variables in the question stem... 2. Percents in the answer c…

1. Critical thinking... 2. Estimate the answer... 3. Eliminate numb…

1. Analyze the question... •determine if it's yes/no or a value…

Kaplan Method for Problem Solving

1. Analyze the question... 2. State the task... 3. Approach strateg…

Signals to pick numbers

1. Variables in the question stem... 2. Percents in the answer c…

The volume of a cube

The area of a cube

30°60°90°

Amount of bank interest1

V=the cube of A... A=edge... Cube=세제곱

A=6a square ... Square =제곱

1:root3:2

A=P (1+r/n)nt제곱... A is the amount of money ... P is the principal…

The volume of a cube

V=the cube of A... A=edge... Cube=세제곱

The area of a cube

A=6a square ... Square =제곱