Problem: 5x+3-7(10x+3)=7
Remember: Please Excuse My
Dear Aunt Sally
Step 1: Distribution always comes after parenthesis, which isn't mentioned in the acronym. Distribute 7 into the parenthesis. Also remember that to simplify and remove the parenthesis, you will have to distribute...

Let's assume that 7 corresponds to width and 8 with length.
Step 1: Set up proportions as such -
Length/width = 8/7 = 40/y
"y" is the unknown width
Step 2: Cross multiply
280=8y
y=35
Hence width is 35 mm

Understand that inconsistent mean that you have 2 lines and they overlap each other completely. One could say that the two lines are indistinct with respect to one another in that if I were to put one ruler over the other, you as a bird cannot see that there are actually two rulers from the top...

To get you started:
Step 1: if you have the quadratic eqn y=ax2+bx+c .....What are the variable x and y technically here?
Step 2: Determine what your velocity (m/s unit) is. This will be your "bx" value.
Determine...

Problem: y=2x2+12x+10
Step 1: Factor out common number that is shared by each of the terms. Basically in this step we are trying to get rid of the coefficient in front of the x2 so we can simplify the quadratic eqn and in turn factor easily.
...

Problem: 3(x-2)+2
Remember "Please Ask My Dear Aunt Sally"
Step 1: distribute 3 inside the parenthesis
3x-6+2
Step 2: Add like terms
3x - 4

This is a word problem and let's admit this that word problems are the most convoluted part of math because they apply our knowledge to real life.
Let's make this easy:
Step 1: List all the numerical info, ORGANIZE
*1st City (A):
Tax = 3%
*2nd City (B):
hotel charge (minus...

y=16x2+190x+0
An algebra II method of graphing this equation is done by the following steps:
Step 1: Find the x-coordinate of the vertex and then its correspending y-coordinate
1. x = -b/2a is the formula. The a and b apply to your polynomial
...

When x and y both have powers of 1 like here, you know you are dealing with the y=mx+b form.
-y = x - 1 can also be written as -y1 = x1 - 1 with their powers.
You want to get -y = x - 1 looking like y = mx + b
Now you note that the only thing different about -y =...

6x2a + 5xy - 4a2y
This is a good problem. I would suggest you go about it by finding all prime factors of each monomial.
6x2a ----> 3*2*x*x*a
5xy ------> 5*x*y
-4a2y ---> -2*2*a*a*y
Now note that there is no one prime factor that is common in all three monomials...

103 and 106 have exponents and the same base (10). Whenever you are multiplying these types of numbers you know you will have to do product of powers property
(4.2 x 103)(1.5 x 106)
(4.2 x 1.5) (103 x 106) Use product of powers to solve second parenthesis. Multiply the
...

What is x in 7x-2=5x+8
There are 2 types of ways of expressing #s
Type 1: Think about
7x and 5x as one type of way of expressing two different numbers that you don't know yet.
Type 2: Think about -2 and
8 as another type of way of expressing a number,...

Technically, you are isolating "x" and so you need to move everything that is "not x" to the left side where "y" is at.
y = 4mx - 2b Problem
y + 2b = 4mx ...

how do I convert 6x- y=-5 so that I can graph it?
1. Two different variables are present: X and Y
2. Remember that you want the following format: y = mx + b
6x- y=-5
- y=-5 - 6x Subtract 6x to bring it to right side of equation
...

(2x - 3) (x - 2)
Each parenthesis has a binomial ---> two numbers
1. Note that whenever you have two parenthesis next to each other like this, it implies factoring. So let's factor.
2x2 - 4x - 3x + 6
We get a quartnomial...

Well how do you like this idea if your main topic is going to be the alien.
Main character: You Setting: a barn and a small town
1. Your reading an enticing book under a dim
lightbulb. For weeks, you have wanted to change...

-9x + 8 < 35
1. Subtracting or adding negative numbers does not have any effect on direction of sign.
-9x < 27
2. Remember that division or multiplication by negative number makes sign flip the opposite way
x >...

X + Y = 8
2X + Y = 11
Step 1: Solve for one of the variables in terms of the other using either one of the equations provided
X + Y = 8 --------------> Y = 8 - X
Step 2: Use your definition...

XF3 is our
compound. X is unknown
For the problem I am using the periodic table at this site http://www.google.com/imgres?q=periodic+table+with+group&um=1&hl=en&sa=N&tbo=d&rlz=1C1AFAB_enUS448US448&biw=1366&bih=643&tbm=isch&tbnid=owzVqIHVydI_oM:&imgrefurl=http://djarn...

* Note you don't have to read the green portions. They are optional.
-1.3-(-2.4)
Step 1: Put your index finger on 0.
-3IIIIIIIII-2IIIIIIIII-1IIIIIIIII0IIIIIIIII1IIIIIIIII2IIIIIIIII3IIIIIIIII4
Step...