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On HARD problems, avoid answers that are:
Numbers already presented in the problem
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Medium problems almost always require ________
two or more steps
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If a quadratic equation is shown in factored form:
distribute it immediately
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Ff a quadratic equation is shown in distributed form:
factor it immediately
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"SUM"
The result of addition
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"Difference"
The result of subtraction
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"Product"
The result of multipication
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"Quotient"
The result of division
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P E M D A S
Parenthesis - Exponents - Multiplication - Division - Addition - Subtraction
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Associcative Law:
When adding or multiplying a series of #'s, they can be grouped and upground in anyway
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WHen dealing with propotion and ratios, always think of what to concepts:
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Whenever possible, convert decimels to fractions...
0.2 =
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Trick to multiplication with decimels:
remove, multiply, and move decimel back total spaces
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Trick to dividing with fractions:
Convert divisor into whole number, move decimel of dividend an equal number of spaces.
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Ratios are be expressed in ways:
Part to ______ &
Part to ______
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Formula for Mixed Groups:
Group 1 +_____ - _____ + _______ = Total
Group 1 + Group 2 - Both + Neither = Total
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Median, if n is odd,:
Middle most number
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Median, if n is even,:
SUM of middle two number, divided by 2
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Range of a series
Largest value - smallest value
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Mode of a series
number that occurs most frequently
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Laws of exponents:
Multiply with the same base:
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Laws of exponents:
Dividing with the same base:
Subtract the exponents: =
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Laws of exponents:
Raising Power to Power:
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Law of Exponents:
Distributing Exponents:
Exponent outside parenthesis must be distributed to applied to all number within: (4)^2(y)^2=16y^2
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Laws of Exponents:
When items are included in parenthesis and in a fraction:
NO, because of the parenthesis
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Laws of Exponents:
If you raise a positive fraction less than 1 to a power....
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Laws of Exponents:
If you raise a negative number to an odd power....
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Laws of Exponents:
Any number is a negative power is equal to...
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When pluggin in values, always start answer checking at:
A, then Try E, and narrow in from there
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When pluggin in, always ask yourself:
What number make this problem easy for me?
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When pluggin in:
If question contains hours and days:
Choose 24 as a plug
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When plugging in:
If question contains minutes and hours:
Choose 60 as a plug value
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When pluggin in:
If question deals with %'s
Choose 100 is almost always convenient
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When pluggin in values contained in the answer:
Start with 'C', and depending if outcome needs to be higher or lower, eliminate answers
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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
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Quadratic Equations to memorize:
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Quadratic Equations to memorize:
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Equation fro rate, time, and distance questions:
- ***Can be manipulated to solve for any values of r,d,&t
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Trick for WORK problems:
- How much work can be done in one unit of time
- set up in fractional form
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