Math II Final Exam Review – Flashcards
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Probability formula
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Event outcomes/total possible outcomes
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Odds formula
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Event occurs/event does not occur
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P(A and B)
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P(A) • P(B)
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P(A or B)
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P(A) + P(B) - P(A and B)
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Permutations
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Without replacement and order matters
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Combinations
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Without replacement and order does not matter
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Permutation formula
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nPr= n!/(n-r)!
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Combination formula
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nCr= n!/r!(n-r)!
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Factorial
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Ex. 5! 5•4•3•2•1
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Reflection across x axis
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(x,y) (x,-y)
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Reflection across y axis
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(x,y) (-x,-y)
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Reflection across y=x
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(x,y) (y,x)
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Reflection across y=-x
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(x,y) (-y,-x)
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Rotation 90 counterclockwise or 270 clockwise
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(x,y) (-y,x)
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Rotation 180
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(x,y) (-x,-y)
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Rotation 270 counterclockwise or 90 clockwise
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(x,y) (y, -x)
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Ways to prove similar triangles
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AA, SSS, SAS
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Ways to prove congruent triangles
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SSS, SAS, ASA, AAS
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Scalene
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No congruent sides
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Isosceles
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At least 2 congruent sides
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Equilateral
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3 congruent sides
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Equilangular
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3 congruent angles
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Rotational symmetry
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A rotation which the figure is its own image
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Rotational symmetry formula
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360°/# of sides
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Multiplying polynomials
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Use either distribution, foil, or box method
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Quadratic formula
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Ax^2+Bx+C=0 *set to equal 0 before trying to solve*
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Factoring formula
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ab+ac=a(b+c) *look for GCF first*
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Factoring 3 terms
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Find two numbers that multiply to give you a•c but add to give you the b value
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Difference of squares formula
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(a^2-b^2)=(a-b)(a+b)
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Square roots
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Isolate the variable and take the square root of each side
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b^2-4ac>0
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Two real roots
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b^2-4ac=0
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One real root
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b^2-4ac<0
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Zero real roots
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+a parabola
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Parabola will have a minimum and open up
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-a parabola
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Parabola will have a maximum and open down
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Angle of elevation
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From horizontal line of sight-up
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Angle of depression
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From horizontal line of sight-down
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Area of oblique triangle formula
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1/2absin(c)
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Direct variation formula
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y=kx
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Inverse variation formula
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y=k/x
