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25 Cards in this Set

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Commutative Property
ab = ba
a+b = b+a
Associative Property
3+(5+2) = 5+(3+2)
3(5*2)= 5(3*2)
Distributive
3(5+2) = (3*5)+(3*2)
When solving inequalities...
solve like a regular equation.
When solving absolute value inequalities...
ex. /2x-1/<15
turns into
15</2x-1/<15
A relation is a function
all of the x's are unique
When solving absolute value inequalities with an "or-equal-to" sign...
The answer will be:
Either a or b.
to find slope...
the change in y over the change in x
Formula for direct variation
y=kx
When graphing peicewise functions...
graph the top equations as one line and the bottom equations as another line.
when graphing absolute value functions...
vertex = (h,k)
when /x-h/+k
when solving Linear Systems...
substitute or complete the square
To tell how many solutions there are...
same line= infinite solutions
undetermined= no solution
determined solution= one solution
When graphing linear inequalities
shade in the different lines. Where the darkest shading is, is the solution area.
When finding max and min...
graph all of the constraints until you have the darkest shaded region. Plug the vertices of that region (crooked line) into the orinal equation.
When finding matrices Determinants...
cross multiply the matrix and add the two products together
When multiplying two matrices together...
top row * first column, first row * second column, etc.
Performing operations with matrices
follow PEMDAS, and multiply a regular number by every number in the matrix when necessary
Cramer's Rule
when you have ax+by=c and dx+cy=f, put it into the matrix a-b-d-e (left to right, top to bottom)
To find an inverse
switch the top left and bottom right, and negate the top right and bottom left.
When completing the square...
put it in ax(squared)+bx=-c form. Add 25 to both sides of the equation. Factor the side without the "C". Find the square rool of both sides of the equation. Solve.
When solving with the quadratic formula.
substitute the standard equation into the quadratic formula and solve.
Finding the discriminant of a standard equation
Use Cramer's Rule and then find the determinant.
When solving an absolute value inequality...
ex /2x-5/<9
becomes
9</2x-5/<9
When solving for an absolute value equation...
Solve for case #1 (positive answer in the origional equation) and case #2 (negative answer in the origional equation)