Rules of exponents
Rule #1: To multiply identical bases, add the exponents
Rule #2: To divide identical bases, subtract the exponents
Rule #3: When there are two or more exponents and only one base, multiply the exponents.
"First outside inside out"
FOIL: perfect square
FOIL: Difference of squares
Solve linear equations
Set the equations equal to each other
Cross multiply technique
Self check: Plug the number back in after solving
Plug the answer back into the problem to make sure your answer makes sense.
Solve equations with radicals
Radical equations are equations with any root whether a square root, a cube root or any other.
Solve one variable in terms of another
Solve an absolute value
Solve a system of equations
Sequence of numbers that follow a pattern
Plug a,b,c into the quadratic formula
Adds to the middle number and multiplies to the last number
Solve like regular equation just flip the sign if you divide by a negative number.
They have to be the same size and then you add the numbers together that are in the same row and column as it.
You can only multiply two matrices if the number of columns in the first equals the number of rows in the second. Then to figure out the dimensions its the number of rows in the first and then the number of columns in the second.
Equation of a line in slope intercept form
Find the equation of the line, given 2 points.
Plug 0 in for y and solve
Plug 0 in for x and solve
How do you know if 2 lines are perpendicular?
The slopes are reciprocals of each other and the opposite sign.
If a>0 the parabola opens upward
If a<0 then the parabola opens downward
C is the y-intercept
Equation of a circle
Angles: Convert between radian and degrees
Two angles are supplementary if they add up to 180 degrees
Two angles are complementary if they add up to 90 degrees
Two lines that go on forever and never tough or cross
Calculate the value of an exterior angle
Always adds up to 180 degrees so you just subtract the interior angle by 180 degrees to get the exterior angle measure.
Triangle sum theorem
All the side lengths are the same length
Two of the side lengths are the same length
They are similar meaning they have the same angle measures and the corresponding sides are proportional
Circles: Arc length
All angles and sides are equal
Formula for the interior angles of a polygon
Formula for the diagonals of a polygon
Rectangle: Area and Perimeter
Circle: Area and Perimeter
Rectangular Solid: Surface area and volume
Cylinder: Surface area and volume