Theoretical Probability

It is the likeliness of an event happening based on all the POSSIBLE outcomes.

Experimental Probability

Based on an experiment written as a ratio comparing the number of times the event occurred to the number of trials.

Standard Form

A polynomial which is written in decreasing order by degree where all like terms have been combined.

Direct Variation

y = kx, Increase (or decrease) in one variable causes a proportional increase (or decrease) in another variable

Inverse Variation

y = k/x, As one quantity increases, the other quantity decreases

Joint Variation

y = kxz, a relationship that occurs when a quantity varies directly with the product of two or more other quantities

Distributive Property

A property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

Commutative Property

The property that states that two or more numbers can be added/multiplied in any order without changing the sum/product.

Associative Property

The property that states changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication

Radical expression

An expression that contains a radical. It must be reduced to simplest terms by prime factorization and then removing appropriately paired factors.

System of Linear Equations

Two or more linear equations for which you can solve for the missing variables.

Compound inequality

Two inequalities that are combined into one statement by the word AND or OR.

Disjunction

A compound statement formed by joining two or more statements with the word OR

Conjunction

A compound statement formed by joining two or more statements with the word AND

Perpendicular Lines

Slopes are opposite reciprocals.

One solution. Consistent/Independent

One solution. Consistent/Independent

Parallel Lines

Slopes are the same but y-intercepts must be different. No solution. Inconsistent

Intersecting Lines

Slopes are different.

One solution. Consistent/Independent

One solution. Consistent/Independent

Coinciding Lines

Slopes and y-intercepts are the same.

Infinitely many solutions. Consistent/Dependent

Infinitely many solutions. Consistent/Dependent

Factor an expression

To break an expression down into prime factors.

Types of factoring

GCF - Greatest Common Factor

DOTS - Difference of two squares

PST - Perfect Square trinomial

Grouping - Four or more terms

General - What multiplies to give ac but adds to give b then reduce

DOTS - Difference of two squares

PST - Perfect Square trinomial

Grouping - Four or more terms

General - What multiplies to give ac but adds to give b then reduce

Factor the GCF

Greatest Common Factor Ex: 4x - 8 = 4(x - 2)

DOTS

Difference of two squares Ex: x² - 4 = (x + 2) ( x - 2)

PST

Perfect Square Trinomial Ex: x² - 6x + 9 = (x - 3)²

General Factoring

Given an expression in the form ax² + bx + c factor by finding what multiplies to give ac but adds to give b then reduce.

Asymptote

A line that the graph of a function approaches, but never intersects.

Vertical Asymptote

Given an equation in the form of y = a /(x -b) + c it is at x = b

Horizontal Asymptote

Given an equation in the form of y = a /(x -b) + c it is at y = c

Pythagorean Theorem

a² + b² = c²