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66 Cards in this Set
- Front
- Back
percent formula
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part=percent x whole
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percent increase/decrease
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=(amount of increase or decrease)/(original whole) x 100%
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sum or diff. even?
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two odd=even
two even=even even/odd=odd |
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product/quotient even?
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two even=even
even odd=even two odd=odd |
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multiples of 2
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even
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multiples of 3
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sum of digits is multiple of three
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multiples of 4
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sum of last two digits multiple of 4
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multiples of 5
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last digit is 5 or 0
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multiples of 6
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sume of digits is a multiple of three and last digit is even
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multiples of 9
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sum of digits is a multiple of 9
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multiples of 10
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last digit is 0
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multiples of 12
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sum of digits is a multiple of 3 and last two digits are a multiple of 4
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how to find a common factor
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factor each down to prime, multiply shared prime factors (including multiples of same # if shared)--use all possible combinations to find all common factors
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how to find a common multiple
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factor #s down to prime, find product of original #s, divide common primes into product
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average
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sum of terms/number of terms
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use average to find sum
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sum=average x number of terms
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average of consecutive #s
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average smallest and largest
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count consecutive #s
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# of integers from A to B inclusive is B-A+1
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Sum of consecutive #s
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sum=average x # of terms
average highest and lowest, multiply by # of terms |
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median
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put #s in numerical order, take the middle #, or average the two middle terms
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mode
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# that appears most often, ties for most often means more than one mode
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range
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positive difference between highest and lowest values
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ratio
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of # goes on top, to # goes on bottom
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use ratio to determine actual #
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set up proportion, solve (cross multiply, divide)
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use actual #s to determine rate
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identify quantities and units, keep units straight--i.e. convert hours to minutes, etc.
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charts, tables, graphs
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read question and labels carefully, ingnore extraneous information, pay attention to spread in choices, approximate when possible
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count # of possibilities
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usually just do manually--small quantities
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simple probability
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number of favorable outcomes/total # of possible outcomes
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new symbols
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follow instructions, treat like any variable symbol
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simplify polynomials
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multiply to eliminate all parentheses, combine like terms
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factoring certain (special) polynomials
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ab+ac=a(b+c)
a^2+2ab+b^2=(a+b)^2 a^2-2ab-b^2=(a-b)^2 a^2-b^2=(a-b)(a+b) |
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solve for one variable in terms of another
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finding x in terms of y, isolate x on one side, y will be the only variable on the other
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solve an inequality
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treat it like an equation, BUT reverse the sign if you multiply or divide by a negative #
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absolute values
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number's distance from zero on the number line, abs. value of x=3 could be 3 or -3, abs. val. of (x-3)<2 means solve (x-3)<2 and -(x-3)<2 to find a range
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addition words
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sum, plus, and, added to, more than, increased by, combined with, exceeds, total, greater than
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subtraction words
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difference between, minus, subtracted from, decreased by, diminished by, less than, reduced by
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multiplication words
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of, product, times, multiplied by, twice, double, triple, half
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division words
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quotient, divided by, per, out of, ratio of __ to __
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equal words
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equals, is, was, will be, result is, adds up to, costs, is the same as
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angle formed by intersecting lines
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all equal 360, opposites are equal, adjacent=180
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transversal across parallel lines
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acute all equal, obtuse all equal, acute+obtuse=180
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solve for one variable in terms of another
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finding x in terms of y, isolate x on one side, y will be the only variable on the other
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solve an inequality
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treat it like an equation, BUT reverse the sign if you multiply or divide by a negative #
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absolute values
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number's distance from zero on the number line, abs. value of x=3 could be 3 or -3, abs. val. of (x-3)<2 means solve (x-3)<2 and -(x-3)<2 to find a range
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addition words
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sum, plus, and, added to, more than, increased by, combined with, exceeds, total, greater than
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subtraction words
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difference between, minus, subtracted from, decreased by, diminished by, less than, reduced by
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multiplication words
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of, product, times, multiplied by, twice, double, triple, half
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division words
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quotient, divided by, per, out of, ratio of __ to __
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equal words
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equals, is, was, will be, result is, adds up to, costs, is the same as
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angle formed by intersecting lines
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all equal 360, opposites are equal, adjacent=180
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transversal across parallel lines
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acute all equal, obtuse all equal, acute+obtuse=180
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area of a triangle
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1/2 base x height
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isosceles triangles
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two equal sides, two equal angles
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equilateral triangles
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three equal sides, angles 60 each
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similar triangles
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angles equal, sides proportional
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pythagorean
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a^2+b^2=c^2 in a right triangle
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special right triangles
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3-4-5, 5-12-13, 30-60-90, 45-45-90 (right isosceles)
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perimeter of a rectangle
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2(length+width)
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area of a rectangle
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length x width
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area of a square
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side^2
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area of a parallelogram
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base x height
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area of a trapezoid
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break into parts to calculate and add them all up, or average of parallel sides x height
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circumfrence
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2pi r
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area of a circle
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pi r^2
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distance between points on a coordinate plane
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if there's an x or y in common, just subtract the #s that are different, if not, construct a right triangle and calculate hypotneuse
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slope of a line
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change in y/change in x
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