Show Menu
Cheatography
  1. Home >
  2. Education >

Math M03 Quiz #2 Cheat Sheet by

Dealing With Indexes

If Odd
then nothing happens
If Even
then use absolute value bars
If term power is even and index is odd
then use absolute bars if answer is negative
Put absolute value bars on variables

FOIL Method

Complex Fractions

Simplify the numerator and the denomi­nator of the complex fraction so that each is a single fraction.

Perform the indicated division by multip­lying the numerator of the complex fraction by the reciprocal of the denomi­nator of the complex fraction.
Simplify if possible.

Greatest common Factor

letters: each term has to have one
Numbers: the highest number all of terms can multiply into
letter­s:Chose the one with the lowest exponent

Factoring x2+bx+c

Find a 2 numbers whose sum is b and products of c

More factoring

1. 3xy-4x­-12y+16
2. x(3y-4) 4(3y-4)
3.(3y-­4)(x-4)
*Between 1&2: factor first 2 terms and last 2 terms separately
Between 2&3: remove the numbers on the outside and put them in parent­hesis

Exponents

(an)m=an+m
am/an=am-n
a0=1
a-n=1/an
 

Equations and Graphs 2

Rational expres­sions

Multip­lic­ation
Factor denomi­nator, mutliply, reduce
Divison
flip 2nd equation and multiply
Unlike denomi­nators + & -
Factor denomi­nator, Find LCD,si­mplify top
x+2/x2 + x - 42 * x+7/x2 - 4

x+2/(x­-6)­(x+7) * x+7/(x­-2)­(x+2)
x-2/x-6

8/x-2+x - 6/x2-4+2/x+2

8/x-2+x - 6/(x+2­)(x­-2)­+2/x+2

8+x-6+2
x-16

Rational function

f(x)=p­(x)­/q(x)
Solve it like a function
Finding domain:
Demoni­nator=0
Solve
Those values are the excluded values
Solve the rest of the equation
if you get the excluded value your answer is no real solution

MORE Factoring

Equations And Graphs

Special case and FACTORING

 
1.(a+b­)(a-b)= a2-b2
Perfect Square Trinomial
2. (a+b)2= a2+2ab+b2
4. (a-b)2= a2-2ab+b2
Sum & Difference of Cubes
3.a3-b3= (a-b)(a2+ab+b2
5.a3+b3= (a+b)(a2-ab+b2
Difference of Square
6.(a- b)2= (a-b)(a+b)

Solving with Scientific notation

separate between the operation for each term then solve each, then combine
(2x103)(1.8x10-7)

2x1.8=3.6

103x10-7=10-4
Answer: 3.6x10-4
  

Factoring trinomials 2

Factoring Trinomials

Functions

f(x)=x+4 when x=4->
solve by replacing the x with the one inside the f()

Graphing

it'll ask for you to solve the equation then graph your solutions, they should be x

Solving f(x)

Replace the x in the equation (next to the letter) with the equation that comes after the equal sign

Rational equations

Factor Denomi­nators find excluded values
Find LCD of all terms multiply by LCD
check solution
*always have at least 1 fraction
       
 

Metadata

  • Languages:
  • Published: 16th March, 2019
  • Last Updated: 21st March, 2019

Favourited By

Yoisell R Nunez nbudka40

Comments

No comments yet. Add yours below!

Add a Comment

Your Comment

Please enter your name.

    Please enter your email address

      Please enter your Comment.

          Related Cheat Sheets

          Selenium WebDriver Cheat Sheet Cheat Sheet
          Cypressio Cheat Sheet
          ISTQB Test Automation Engineering Cheat Sheet

          More Cheat Sheets by Berger42