Math Flashcards
Comparison between two quantities
Ratio
Comparison between two ratios
Proportion
Simple interest formula
I = Prt
Two points determine a line
Postulate
Consists of two or more linear equations with two or more variables, which are considered simultaneously.
Systems of Linear Equations
An algebraic term or a sum of two or more finite algebraic terms
Polynomials
a polynomial having 1 term
Monomial
a polynomial having 2 terms
Binomial
a polynomial having 3 terms
Trinomial
Special products
(a+b)^2 = ?
a^2 + 2ab + b^2
Special products
(a-b)^2 = ?
a^2 - 2ab + b^2
Special products
(a+b) (a-b) = ?
a^2 - b^2
Special products
(a-b) (a^2 +ab + b^2) = ?
a^3 - b^3
Special products
(a+b) (a^2 - ab + b^2)
a^3 + b^3
A sequence where the difference between any two successive terms remains constant
Arithmetic sequence
The sum of the terms of an arithmetic sequence
Arithmetic series
A sequence in which the ratio between any two successive terms remains constant
Geometric sequence
The sum of the terms of a geometric sequence
Geometric series
Formula for arithmetic sequence
An = Ai + (n - 1) d
Formula for arithmetic series (if last term is not given)
Sn = n/2 [2Ai + (n - 1) d]
Formula for arithmetic series given the last term
Sn = n/2 (Ai + An)
Formula for geometric sequence
An = (Ai)(r)^(n-1)
Formula for geometric series
Sn = A1 [ (1 - r^n) / ( 1- r)]
It contains two pairs of parallel sides
Parallelogram
It contains two pairs of parallel sides and has four right angles
Rectangle
It contains two pairs of parallel sides and four congruent angles
Rhombus
It contains four congruent sides and four right angles
Square
A triangle with an interior angle that measures 90 degrees
Right triangle
It is the longest side of a triangle
Hypotenuse
What are the other two sides of the triangle aside from the hypotenuse?
Legs
In a right triangle, the sum of the squares of the length of its legs is equal to the square of the length of the hypotenuse
Pythagorean Theorem
Basic formula for Pythagorean Theorem
c^2 = a^2 + b^2
The sum of the lengths of any sides of a triangle is greater than the length of the third side
Triangle Inequality Theorem
Studies the way statements can interact with each other
Propositional Logic
∧ (Propositional Logic)
Conjunction (and)
∨ (Propositional Logic)
Disjunction (or)
¬ (Propositional Logic)
Negation
→ (Propositional Logic)
Implication
<— (Propositional Logic)
Reduction
↔ (Propositional Logic)
Equivalence
A mapping from Set A to Set B, where every element of A corresponds to one and only one element in B
Function
What are the 6 trigonometric ratios?
sine
cosine
tangent
cotangent
secant
cosecant
An arrangement of all or part of a set of objects (linear arrangement)
Permutation
1!
1
0!
1
In here, arrangement matters
Permutation
In here, arrangement does not matter
Combination
Every possible outcome has an equal chance of occurence
Equally like outcomes
