SET
Group of numbers; denoted by a capital letter
Let U = {1, 2, 3, 4, 5, 6, 7, 8}
A = {1, 2, 3, 4}
B = {2, 4, 6, 8}
C = {3, 4, 5, 6}
*U = Union
∩ = Intersection (Same)
= Complement
- = Difference
Let U = {1, 2, 3, 4, 5, 6, 7, 8}
A = {1, 2, 3, 4}
B = {2, 4, 6, 8}
C = {3, 4, 5, 6}
*U = Union
∩ = Intersection (Same)
= Complement
- = Difference
ALGEBRAIC EXPRESSION
An algebraic expression is a mathematical phrase that can contain ordinary numbers, variables (like x or y) and operators (like add, subtract, multiply, and divide).
LAW OF EXPONENTS
Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication.
RATIONAL EXPRESSION
A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials.
Here are some examples of rational expressions.
Here are some examples of rational expressions.
A rational expression has been reduced to lowest terms if all common factors from the numerator and denominator have been cancelled.
EXAMPLE
LAW OF RADICALS
A radical represents a fractional exponent in which the numerator of the fractional exponent is thep
The nth root of a product is equal to the product of the nth root of each factor.
The nth root of a quotient is equal to the nth root of the numerator divided by the nth root of the denominator.
The nth root of a product is equal to the product of the nth root of each factor.
The nth root of a quotient is equal to the nth root of the numerator divided by the nth root of the denominator.
FUNCTIONS AND RELATION
Relation - Any set of ordered pairs (x,y).
Function - a relation in which each member of the domain corresponds to exactly ones member of the range.
Function - a relation in which each member of the domain corresponds to exactly ones member of the range.
EXAMPLE
Find the domain and range
LINEAR EQUATIONS
A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Linear equations can have one or more variables. Linear equations occur abundantly in most subareas of mathematics and especially in applied mathematics.
QUADRATIC EQUATIONS
A quadratic equation(from the Latin quadratus for "square") is any equation having the form. where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0.