Like Terms:
Terms with the same variable part.
Examples: 3x, 2x This applies ONLY to addition and subtraction.
Terms:
A combination of numbers and variables with multiplication.
Examples: 2x, 5xy, -2, 1
CoEfficient:
Number in front of a variable
Exponents:
Tell us how many times we are multiplying something by itself.
Distributive property:
A term multiplied by a sum or difference in parenthesis.
Simplify:
Do anything you can do without force.
Equal signs:
If there is not an equal sign in an expression…DO NOT put one in!!!!!!
Difference between equation and expression:
Expression has no relation symbol or equal sign. Can only be simplified. An expression is like a phrase or sentence fragment.
I. E. x-7x- 8 is an expression
X-7x-8 =245 is an equation.
Subtraction means:
Add the opposite (if there is a minus, change to a plus)
I. E. 9-3=9+-3
Parenthesis with no number in front of it:
Place number 1 in front of it and then multiply (most advantageous with algebraic expressions).
If writing in plain pencil:
Underline first term with one line, second term with two lines and so on….
Negative multiplied by negative:
Always a positive!!!!
Polynomial:
Many terms
Distributive with two sets of parenthesis:
Must distribute all numbers in each set.
F.O.I.L.
First: outer: inner: last
When a single parenthesis is squared when it is +/- inside:
Write it out!
I. E. (x+5) squared= (x+5)(x+5)
Parentheses with no number in front:
Means must multiply by 1……
If parentheses has a negative sign on the outside, must multiply by -1.
Descending order:
Highest to lowest exponent of the variable.
When there are negatives AND positives:
Think of you bank account!
Factor:
Going backwards (something times something)
When finding GCF:
Ignore negative or positive signs. ONLY for finding GCF.
If you know one factor:
You can always find the other factor by DIVIDING!!!!
Mental Math:
IS BAD!!!!!!!!!! Write all little steps down…..
To Simplify:
Perform all multiplication and add and subtract as you can.
Collect like terms
Factor goal:
To split in two
Something)*(something
Binomial:
Only two terms.
Trinomial:
Cannot factor by grouping.
Unit 6 question 13:
Test question
Equilateral Triangle:
All sides are equal
Lateral:
Side
Perimeter:
Add all sides
Area:
Width(length)
Distance Problems:
D=r(t)
Factor by Grouping:
Group 1st 2 terms together and factor out the GCF then group last 2 terms together and factor out the GCF. Factor out parentheses that are the same….take that out and write down what is left over.
Difference of two squares:
Has to be a subtraction sign. Two squares have to be perfect squares Meaning whole numbers).