
On HARD problems, avoid answers that are:
Numbers already presented in the problem

Medium problems almost always require ________
two or more steps

If a quadratic equation is shown in factored form:
distribute it immediately

Ff a quadratic equation is shown in distributed form:
factor it immediately

"SUM"
The result of addition

"Difference"
The result of subtraction

"Product"
The result of multipication

"Quotient"
The result of division

P E M D A S
Parenthesis  Exponents  Multiplication  Division  Addition  Subtraction

Associcative Law:
When adding or multiplying a series of #'s, they can be grouped and upground in anyway

WHen dealing with propotion and ratios, always think of what to concepts:
& what's left over

Whenever possible, convert decimels to fractions...
0.2 =








Trick to multiplication with decimels:
remove, multiply, and move decimel back total spaces

Trick to dividing with fractions:
Convert divisor into whole number, move decimel of dividend an equal number of spaces.

Ratios are be expressed in ways:
Part to ______ &
Part to ______
&

Formula for Mixed Groups:
Group 1 +_____  _____ + _______ = Total
Group 1 + Group 2  Both + Neither = Total

Median, if n is odd,:
Middle most number

Median, if n is even,:
SUM of middle two number, divided by 2

Range of a series
Largest value  smallest value

Mode of a series
number that occurs most frequently

Laws of exponents:
Multiply with the same base:
Exponents can be added:

Laws of exponents:
Dividing with the same base:
Subtract the exponents: =

Laws of exponents:
Raising Power to Power:
Multiply the exponents:

Law of Exponents:
Distributing Exponents:
Exponent outside parenthesis must be distributed to applied to all number within: (4)^2(y)^2=16y^2

Laws of Exponents:
Does
NO!

Laws of Exponents:
Does
NO!

Laws of Exponents:
When items are included in parenthesis and in a fraction:
NO, because of the parenthesis

Laws of Exponents:
If you raise a positive fraction less than 1 to a power....
it gets smaller

Laws of Exponents:
If you raise a negative number to an odd power....
it gets smaller

Laws of Exponents:
Any number is a negative power is equal to...
it's reciprocal

Laws of Radicals:

Laws of radicals:

When pluggin in values, always start answer checking at:
A, then Try E, and narrow in from there

When pluggin in, always ask yourself:
What number make this problem easy for me?

When pluggin in:
If question contains hours and days:
Choose 24 as a plug

When plugging in:
If question contains minutes and hours:
Choose 60 as a plug value

When pluggin in:
If question deals with %'s
Choose 100 is almost always convenient

When pluggin in values contained in the answer:
Start with 'C', and depending if outcome needs to be higher or lower, eliminate answers

Pluggin in:
"MUST BE/COULE BE" questions, 2 rules of thumb:
 May need to use more than one plug value to test expression
 Attempt to use werid values, such as 1 and 0

Quadratic Equations to memorize:

Quadratic Equations to memorize:

Equation fro rate, time, and distance questions:
 ***Can be manipulated to solve for any values of r,d,&t

Trick for WORK problems:
 How much work can be done in one unit of time
 set up in fractional form

