PRE-CALCULUSPrerequisitesSections 1 - 3

Complex Numbers

Real Numbers

Imaginary Numbers

Rational Numbers

IrrationalNumbers

Integers

Whole NumbersNatural Numbers

See pages 2 - 3

Set Builder NotationSee pages 3 - 5

Braces are used to enclose elements or objects of a set.The bar between the a’s is read as “such that”. The correct reading would be “a such that a is greater than 5”.

Set Builder NotationSee pages 3 - 5

The definition of a rational number is any number that can be written as a ratio of a over b, where a and b are integers and b does not equal 0.

Bounded Intervals of Real NumbersSee pages 4 - 5

Interval Notation

Interval Type

Inequality Graph

Unbounded Intervals of Real NumbersSee pages 4 - 5

Interval Notation

Interval Type

Inequality Graph

PropertiesSee page 6

Commutative

Associative

Identity

Inverse

Distributive Property

Review of ExponentsPage 7

Scientific NotationPages 8-9

Any positive number can be written in scientific notation.

where and is an integer. , move decimal point 12 places to the

right. 3,870,000,000,000 , move the decimal point 5 places to the

left. .0000618

Scientific NotationPages 8-9

Convert into scientific notation.

Moved places to the left, the exponent is positive.

Convert into scientific notation.

Moved 2 places to the right, the exponent is negative.

Cartesian Coordinate SystemPage 12

Key Words x-axis y-axis Origin Ordered pair x-coordinate y-coordinate Quadrants

Misc.Pages 12-17

Absolute value Distance formula Midpoint formula Standard form of a circle

Linear Equations and InequalitiesPages 21-25