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Mathnasium Review Exam Questions and Answers All Correct

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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 -...

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  • November 15, 2024
  • 5
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • mathnasium
  • mathnasium review exam
  • mathnasium review exam questions and answers

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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

HOY VUX - Answer- Horizontal, zero slope, y=#
Vertical, undefined slope, 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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