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18 Cards in this Set
- Front
- Back
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How do you calculate the avg of consecutive numbers?
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Take the average of the smallest number plus the largest number
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How many integers are there from 73 through 419, inclusive?
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419-73+1=347 (B - A + 1)
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How do you find the sum of consecutive numbers (eg, what is the sum of the integers from 10 through 50, inclusive?)
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Sum = average x no. of terms
[(10+50)/2] x (50-10+1) |
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Factor the following:
a^2 + 2ab + b^2 |
(a+b)^2
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Factor the following:
a^2 - 2ab + b^2 |
(a-b)^2
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Factor the following:
a^2 - b^2 |
(a-b)(a+b)
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How is the slope of a line calculated?
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Change in y over change in x ("rise over run")
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Calculate simple interest
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principal x rate x time
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Calculate compound interest
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final balance = principal x (1+ rate/c)^[(time)(c)]
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If you add two 2-digit numbers, what is their sum likely to be?
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Always less than 200!
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What is weighted average?
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The average of the average of two groups; combine the two groups into one group and recalculate the combined group average to get the weighted average
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How do you calculate what number was added to a group of numbers to change the average from one value to a new value?
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Number added = (new sum) - (original sum)
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How do you calculate what number was subtracted from a group of numbers to change the average from one value to a new value?
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Number deleted = (original sum) - (new sum)
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What is the sum of a group of numbers with a known average?
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Number of values times the average of all those values
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Give a:b and b:c, how do you solve for a:c?
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Make values for "b" equal to each other by multiplying or dividing through, and then combine a:c
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How do you calculate how much of a solution w/ known %age solute must be added to another %age soln to arrive at a desired %age?
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(volume of soln 1)*(difference between desired %age and actual %age of soln 1) = (volume of soln 2)(difference between desired %age and actual %age of soln 2)
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How do you solve a group problem when there are members that overlap? What is the total size of the group in general terms?
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group 1 + group 2 + neither - both = total
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Calculate the number of possible arrangements of asmaller group that is drawn from a larger group
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nPk = n!/(n-k)!
n=total items, k=arranged items |
