Mathnasium Review
A triangle formed by three points on a circle with the hypotenuse being the diameter will
always be a... - ANS-right triangle
A u B vs A n B - ANS-A u B includes everything from both sets
A n B only includes overlap of the two
AOS of a parabola - ANS--b/2a
area of a circle - ANS-πr²
area of a polygon - ANS-A=½aP, where a is the apothem and P is the perimeter.
area of a trapezoid - ANS-1/2(b1+b2)h
Area of a triangle given SAS - ANS-A=1/2bc(sinA)
area of a triangle given SSS - ANS-s= (a+b+c)/2
A= Root[s(s-a)(s-b)(s-c)]
Arithmatic formula - ANS-an=a1+(n-1)d
Circumference of a circle - ANS-2πr
Complementary angles - ANS-add to 90 degrees
Difference of cubes - ANS-a³ - b³ = (a - b)(a² + ab + b²)
Directly proportional - ANS-both go the same way
domain - ANS-x values
Equation for compound interest - ANS-A=P(1+r/n)^nt
equation of a circle - ANS-(x-h)²+(y-k)²=r²
equation of an ellipse - ANS-(x-h)^2/a^2 + (y-k)^2/b^2 = 1
, Even vs odd symmetrical functions - ANS-even: symmetric over the y axis
odd: symmetric over the line y=x
Faces + vertices - ANS-= edges +2
geometric formula - ANS-an=a1(r)^n-1
geometric sum - ANS-(a1(1-r^n))/(1-r)
how and what combinations - ANS-does not care about order
n!/r!(n-r)!
n=number of objects
r=number of desired objects
How and what permutations - ANS-cares about order
n!/(n-r)!
n=number of objects
r=number of desired objects
how do you add matrices? - ANS-Simply add the corresponding places (if they are
different sizes then it is undefined)
How do you add vectors together? - ANS-<x,y>+<a,b>=<x+a,y+b>
how do you calculate standard deviation? - ANS-calculate mean, find difference
between mean and each number, square each difference, find mean of new set of
numbers, square root that mean
How do you draw a sign diagram? - ANS-Mark all x-intercepts, and mark in each
section if it is in the positive or negative section. Dotted line for asymptotes
How do you find a single term in a binomial expansion - ANS-(nCr)(a)^n-r (b)^r
r = the term number minus 1
How do you find an inverse function? - ANS-switch x and y and solve for y
How do you find interquartile range? - ANS-median, then median of the two sides.
Subtract Q1 from Q3
A triangle formed by three points on a circle with the hypotenuse being the diameter will
always be a... - ANS-right triangle
A u B vs A n B - ANS-A u B includes everything from both sets
A n B only includes overlap of the two
AOS of a parabola - ANS--b/2a
area of a circle - ANS-πr²
area of a polygon - ANS-A=½aP, where a is the apothem and P is the perimeter.
area of a trapezoid - ANS-1/2(b1+b2)h
Area of a triangle given SAS - ANS-A=1/2bc(sinA)
area of a triangle given SSS - ANS-s= (a+b+c)/2
A= Root[s(s-a)(s-b)(s-c)]
Arithmatic formula - ANS-an=a1+(n-1)d
Circumference of a circle - ANS-2πr
Complementary angles - ANS-add to 90 degrees
Difference of cubes - ANS-a³ - b³ = (a - b)(a² + ab + b²)
Directly proportional - ANS-both go the same way
domain - ANS-x values
Equation for compound interest - ANS-A=P(1+r/n)^nt
equation of a circle - ANS-(x-h)²+(y-k)²=r²
equation of an ellipse - ANS-(x-h)^2/a^2 + (y-k)^2/b^2 = 1
, Even vs odd symmetrical functions - ANS-even: symmetric over the y axis
odd: symmetric over the line y=x
Faces + vertices - ANS-= edges +2
geometric formula - ANS-an=a1(r)^n-1
geometric sum - ANS-(a1(1-r^n))/(1-r)
how and what combinations - ANS-does not care about order
n!/r!(n-r)!
n=number of objects
r=number of desired objects
How and what permutations - ANS-cares about order
n!/(n-r)!
n=number of objects
r=number of desired objects
how do you add matrices? - ANS-Simply add the corresponding places (if they are
different sizes then it is undefined)
How do you add vectors together? - ANS-<x,y>+<a,b>=<x+a,y+b>
how do you calculate standard deviation? - ANS-calculate mean, find difference
between mean and each number, square each difference, find mean of new set of
numbers, square root that mean
How do you draw a sign diagram? - ANS-Mark all x-intercepts, and mark in each
section if it is in the positive or negative section. Dotted line for asymptotes
How do you find a single term in a binomial expansion - ANS-(nCr)(a)^n-r (b)^r
r = the term number minus 1
How do you find an inverse function? - ANS-switch x and y and solve for y
How do you find interquartile range? - ANS-median, then median of the two sides.
Subtract Q1 from Q3
