Mathnasium Review Exam Questions and Answers All Correct
0 view 0 purchase
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>
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Scholarsstudyguide. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $13.39. You're not tied to anything after your purchase.
