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66 Cards in this Set
- Front
- Back
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arc length
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n/360*2ㅍr
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circle sector area
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n/360*ㅍr^2
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square's diagonal
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x square root of 2, x is side length
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volume
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l*w*h
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surface area
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2(lw)*2(wh)*2(lh)
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cylinder volume
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ㅍr^2 * h
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cylinder surface area
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2ㅍr^2 * 2ㅍh
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circumference
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dㅍ
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Isosceles
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2 equal sides, 2 equal angles
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isosceles right
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45-45-90, 1:1:sq root of 2
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special right triangles
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3:4:5:, 5:12:13, 30-60-90 (1:sqrt3:2)
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maximum and minimum lengths of a triangle
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greater than the difference and less than the sum of the other two sides
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sum of the interior angles in a polygon with n sides
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(n-2)*180
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Degree measure of one angle in a regular polygon with n sides
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(n-2)*180/n
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multiplying exponents
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add exponents
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dividing exponents
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subtract exponents
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0 exponents
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0^x = 0, x^0 = 1
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Negative powers
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a number raised to the exponent -x is the reciprocal of that number. n^-1 = 1/n
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Fractional powers
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roots. x^1/2 = square root of x, x^1/3 = cube root of x
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add and subtract roots
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only when the numbers inside the square roots are identical
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multiply and divide roots
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deal with inside and outside of the square root separately - perform as usual
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simplifying a radical
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look for square roots/perfect squares
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solving binomials
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FOIL
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ab+ac =
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a(b+c0
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a^2+2ab=b^2
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(a+b)^2
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a^2-2ab+b^2
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(a-b)^2
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a^2-b^2
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(a-b)(a+b)
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solving inequalities = multiplying or dividing with a negative
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reverse the inequality sign
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Solving a quadratic
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1. turn equation into ___ = 0
2. Factor on the left side 3. Find the values for the variable that makes either expression = 0 |
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Absolute value
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distance from 0 to number on the line, always positive
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how do you use the average to find the sum?
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multiply average and numbers
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how to find the average of consecutive numbers?
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average of smallest and largest
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how to count consecutive numbers inclusively?
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end #-start # +1
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how to find the sum of consecutive numbers?
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average ((L+H)/2) * number of terms (H-L + 1)
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median
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middle number or average of the two
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mode
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most often, can be more than one
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ratio of/to
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of divided by to
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probability
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favored outcomes/total number possible
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Number of possibilities
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1. Look at each digit individually.
2. Multiply each possibility. |
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find added/deleted number in averate
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# added = (new sum) -(original sum)
# deleted = (original sum) - (new sum) |
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Least Common Multiple
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1. Find the prime factorization of each number
2. See the greatest number of times each factor is used 3. Multiply each prime factor by the greatest number of times it appears |
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Common Factors
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1. Break down both numbers to their prime factors to see in common
2. Multiply the shared prime factors to find all the common factors |
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Multiple of 3
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sum of digits is a multiple of 3
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multiple of 4
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last two digits are a multiple of 4
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multiple of 6
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sum of digits is a multiple of 3, last digit even
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multiple of 9
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sum is a multiple of 9
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multiple of 12
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sum is a multiple of 3, last two digits a multiple of 4
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percent increase
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amount of increase/original whole * 100
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percent decrease
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amount of decrease/original whole * 100
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linear equation
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y+mx+b
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part
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percent/100 * whole
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percent
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part/whole
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whole
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percent/100 * part
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combined work problem
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First person's rate plus second person's rate. 1/x + 1/y = 1/z
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both/neither problem
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group 1 * group 2 + neither - both = total
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dilution/mixture
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(percent difference between the weather and desired solution) * ( amount of weakest solution) = (percent difference between the stronger and desired solution) * (amount of stronger solution)
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factorials
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work them out, then cancel them out
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Permutations - order matters
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n!/(n-k)!
n = number in the larger group k = spots to fill |
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Combination - order doesn't matter
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n!/k! (n-k)!
n = number in the larger group k = spots to fill |
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standard deviation
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distance from average
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sequence problem
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n^th = n^2(n-1)
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simple interest
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interest = (principal) * (interest rate) * (time)
time expressed as a fraction over 12 or in years |
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compound interest
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final balance = (principal) * (1+ interest rate/c) (time) (c)
interest expressed as a decimal c = the number of times compounded annually |
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find original whole before p.increase or p. decrease
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increase = 1.__*x
decrease = 0.9_*x |
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function
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f(x) = x^2-1, put 1 into the function to get the output (y coordinate)
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find the equation of the parabola
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pick obvious points on the graph, plug values into answer choices, find
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