Algebra Flashcards
Exponential growth and decay functions formula
Final amount (y) initial amount (a)
Rate of decay: (r) in decimal form
Time: (t)
Y = a(1-r)^t
Percentage to decimal
Divide percentage by 100
Vertext
Middle and down
Order of operations
- Parenthesis
- Exponents
- Multiplication and division
- Addition and subtraction
Always put x on the..
Right
Distance between measurements
Subtract them together then add lines on the sides of the answer if it’s negative (absolute values) in order to make it postive
Sgement addition postulate
Small length + small length = big length
You cannot determine the length of lines that are
Sideways
Pythagorean thereom
Legs^2 + legs^2 = hypotenuse^2
Distance formula
D^2 = (|x1 - x2|)^2 + (|y1 -y2|)^2
Square root answer
Square root
Divide number by 2 or other numbers and see what you divided number with and answer and that will be a multiple of the number that is being square rooted
Pairs go outside of square root
Midpoint formula
M = (x1+x2/2, y1+y2/2)
Solve x and y separately then divide the numbers for each x and y and two numbers should be the answer
Bisect
Dividing something into two equal parts
Endpoint
Make x and y eq. Of midpoint each = to the midpoint
Angle bisector
Splits angle into 2 equal parts that are congruent
Linear pair
2 supplementary angles that have a common side
Angle addition postulate
2 small parts add up to one big part
Congruent
The exact same measurements
Conditional statements
A statement that has a hypothesis and a conclusion (if - then) p then q
Negation
Opposite of original statement NOT
Converse
Flip the converse ( hypothesis and conclusion)
Inverse
Negate original statement ADD NOT TO P AND Q
Contrapositive
Negate and flip hypothesis and conclusion
IF NOT Q THEN NOT P
Plane intersection
If 2 planes intersect, then their intersection is a line
Reflexive property
Anything is equal to itself
Symmetric property
If a=b then b=a
Transitive property
A = C
Property of equality
Substraction
Addition
Division
Midpoint
A point in the middle that splits a segment into two congruent parts
Corresponding
Same position, different location
Consecutive
Next to
Vertical angles congruence thereom
Vertical angles = 180
Skew
Not parallel nor perpendicular
Consecutive thereom
= 180
If thereom converses true then
Lines are parallel
Slope formula
M= rise/run
M= y2-y1/x2-x1
Parallel lines
Same slope
Perpendicular
Negative reciprocal ( multiply slopes and if they don’t equal -1 then not negative reciprocal not perpendicular slopes or lines
Partitioning segments
Look at notes for this part
Triangle’s sum thereom
Interior angles = 180
Exterior angles thereom
Angles that are on the same side = exterior angle
Angle + angle = exterior angle
Solve for x
THINK ABOUT THIS ON TEST
CPCTC
Base angles thereom
If two sides of a triangle are congruent to each other then the base angles are congruent to each other
X=?
1.Make corresponding sides and angles equal to each other and solve for x
2. Get all interior angles and make it equal to 180 and solve for x
HL
Right triangle only
One leg has a mark and the long side has mark
SSA ON RIGHT TRIANGLE=
HL
CPCTC
Corresponding parts of congruent triangle’s are congruent SAME SPOT
