Mathnasium Review Exam Questions and Answers All Correct
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Course
Mathnasium
Institution
Mathnasium
Mathnasium Review Exam Questions and Answers All Correct
When is a geometric series converging? diverging? - Answer- Converging: abs. value 'r' < 0
Diverging: abs. value 'r' > 0
What is another word for equation of a series? - Answer- general term
Equation for compound interest -...
Mathnasium Review Exam
Questions and Answers All
Correct
When is a geometric series converging? diverging? - Answer- Converging: abs. value 'r'
<0
Diverging: abs. value 'r' > 0
What is another word for equation of a series? - Answer- general term
Equation for compound interest - Answer- A=P(1+r/n)^nt
How do you find a single term in a binomial expansion - Answer- (nCr)(a)^n-r (b)^r
r = the term number minus 1
How do you draw a sign diagram? - Answer- Mark all x-intercepts, and mark in each
section if it is in the positive or negative section. Dotted line for asymptotes
What are some properties of inverse/one-to-one functions? - Answer- domain of
f(x)=range of f⁻¹(x) and vice versa
Means that for every y value there is only one x value and for every x value there is only
one y value
(has to be able to pass the vertical line test both ways)
How do you find an inverse function? - Answer- switch x and y and solve for y
What are reciprocal/self inverse functions? - Answer- f(x)=f⁻¹(x)
symmetrical over the line y=x
How do you find the shortest distance from a point to a line Ax+by+C=0? - Answer- Abs.
value (Ax1+By1+c)/[root(A²+B²)]
Stretch of a graph - Answer- a 2x stretch would make it so that each point is twice as far
from the 0 line as before
, When the number is less than 1, it is called a compression
Positive and negative definite quadratics mean what? and how do you tell? - Answer-
Positive: never touch x-axis or go below it (a>0 NRR)
Negative: never touch x-axis or go above it (a<0 NRR)
Sum of an infinite geometric series - Answer- S∞ = a1 / (1-r )
What is another way to write translations? - Answer- ( x )
(y)
Even vs odd symmetrical functions - Answer- even: symmetric over the y axis
odd: symmetric over the line y=x
sum of cubes - Answer- x³ + y³ = (x + y)(x² - xy + y²)
Area of a triangle given SAS - Answer- A=1/2bc(sinA)
Faces + vertices - Answer- = edges +2
area of a triangle given SSS - Answer- s= (a+b+c)/2
A= Root[s(s-a)(s-b)(s-c)]
area of a polygon - Answer- A=½aP, where a is the apothem and P is the perimeter.
What is a real number? - Answer- any number without 'i'
what is a constant? - Answer- specific fixed number
What is an integer? - Answer- a whole number
What does quotient mean? - Answer- to divide
Complementary angles - Answer- add to 90 degrees
supplementary angles - Answer- add to 180 degrees
On a 30,60,90 triangle, what are the sides starting smallest? - Answer- x, xroot3, and 2x
On a 45,45,90 triangle, what are the side ratios? - Answer- x, x, and xroot2
How do you add vectors together? - Answer- <x,y>+<a,b>=<x+a,y+b>
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