Algebra Flashcards
Linear term
8x
Multiplying two binomials
FOIL
Any even power can be expressed as a
Square
Any odd power
Can factor out GCF, make it even and then factor it
Factoring quadratic
2 factors can only be used if the coefficient of xsquared is 1
Advanced numerical
1599= 1600-1; find perfect squares; decimals too less than 1= 0.9991= 1-0.0009
Separate an equation by add/sub
use the denominator and split the numerator
Simplify fractions and complex equations
Multiply by LCM
Mathematical or
A=0 or B=0 or A and B=0; two roots either one of the two roots or both roots
one equation with two unknowns
All the points on a line, innumerable points
two equations, two unknowns
One intersecting point
-10=-10; always true equation
Infinitely many solutions, if we get rid of the variables, if we have one equation that is a multiple of the other; one on top of another
15=8
No variables but there is contradiction, no solution; parallel lines
Solutions
When do the lines intersect
Three equations, three unknowns
Two equations and two unknowns: 4 to 2; plug a in the new equations and then solve because now you have two variables
abs x= 5
x=5 or x=-5; extra solutions so plug in into the both sides of the equation and then see if they are equal**; we also isolate the abs value on one side
Inequality add/subtract
You can do the same to both sides
Inequality multiplication
Multiplication- if you multiply or divide by a negative number *** reverses the order of the inequality; goal x should always be positive
Open circle
Not included
Adding inequalities
Add if in the same direction a>b c>d then a+c>b+d;
Subtracting inequalities
Subtract only if in the opposite direction ; a>b db-c; follows the direction of the first inequality from which we subtract
Multiplication and Division
No rules
Subtracting positive or adding negative makes a number
Smaller
Adding a positive makes a number
Bigger
Numbers can be!!!
Negative or fractions and 0 and 1
x-7
distance of +7 from x
Abs value of inequalities
Find the center, and then move from the center in opp direction, center is the avg of the two numbers
Use substitutes to solve
like use u and v to solve
