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	Polynomials
	Finding the Greatest Common Factor
	Factoring Trinomials
	Absolute Value Function
	A Summary of Factoring Polynomials
	Solving Equations with One Radical Term
	Adding Fractions
	Subtracting Fractions
	The FOIL Method
	Graphing Compound Inequalities
	Solving Absolute Value Inequalities
	Adding and Subtracting Polynomials
	Using Slope
	Solving Quadratic Equations
	Factoring
	Multiplication Properties of Exponents
	Completing the Square
	Solving Systems of Equations by using the Substitution Method
	Combining Like Radical Terms
	Elimination Using Multiplication
	Solving Equations
	Pythagoras' Theorem 1
	Finding the Least Common Multiples
	Multiplying and Dividing in Scientific Notation
	Adding and Subtracting Fractions
	Solving Quadratic Equations
	Adding and Subtracting Fractions
	Multiplication by 111
	Adding Fractions
	Multiplying and Dividing Rational Numbers
	Multiplication by 50
	Solving Linear Inequalities in One Variable
	Simplifying Cube Roots That Contain Integers
	Graphing Compound Inequalities
	Simple Trinomials as Products of Binomials
	Writing Linear Equations in Slope-Intercept Form
	Solving Linear Equations
	Lines and Equations
	The Intercepts of a Parabola
	Absolute Value Function
	Solving Equations
	Solving Compound Linear Inequalities
	Complex Numbers
	Factoring the Difference of Two Squares
	Multiplying and Dividing Rational Expressions
	Adding and Subtracting Radicals
	Multiplying and Dividing Signed Numbers
	Solving Systems of Equations
	Factoring Out the Opposite of the GCF
	Multiplying Special Polynomials
	Properties of Exponents
	Scientific Notation
	Multiplying Rational Expressions
	Adding and Subtracting Rational Expressions With Unlike Denominators
	Multiplication by 25
	Decimals to Fractions
	Solving Quadratic Equations by Completing the Square
	Quotient Rule for Exponents
	Simplifying Square Roots
	Multiplying and Dividing Rational Expressions
	Independent, Inconsistent, and Dependent Systems of Equations
	Slopes
	Graphing Lines in the Coordinate Plane
	Graphing Functions
	Powers of Ten
	Zero Power Property of Exponents
	The Vertex of a Parabola
	Rationalizing the Denominator
	Test for Factorability for Quadratic Trinomials
	Trinomial Squares
	Solving Two-Step Equations
	Solving Linear Equations Containing Fractions
	Multiplying by 125
	Exponent Properties
	Multiplying Fractions
	Adding and Subtracting Rational Expressions With the Same Denominator
	Quadratic Expressions - Completing Squares
	Adding and Subtracting Mixed Numbers with Different Denominators
	Solving a Formula for a Given Variable
	Factoring Trinomials
	Multiplying and Dividing Fractions
	Multiplying and Dividing Complex Numbers in Polar Form
	Power Equations and their Graphs
	Solving Linear Systems of Equations by Substitution
	Solving Polynomial Equations by Factoring
	Laws of Exponents
	index casa mÃo
	Systems of Linear Equations
	Properties of Rational Exponents
	Power of a Product and Power of a Quotient
	Factoring Differences of Perfect Squares
	Dividing Fractions
	Factoring a Polynomial by Finding the GCF
	Graphing Linear Equations
	Steps in Factoring
	Multiplication Property of Exponents
	Solving Systems of Linear Equations in Three Variables
	Solving Exponential Equations
	Finding the GCF of a Set of Monomials

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Independent, Inconsistent, and Dependent Systems of Equations

There are three possible ways in which two lines can be positioned in a plane. The lines might intersect in a single point. In this case we say that the equations are independent or the system is independent. If the two lines are parallel, then there is no solution to the system, and the equations are inconsistent or the system is inconsistent. If the two equations of a system are equivalent, the equations are dependent or the system is dependent.

The next figure shows the types of graphs that correspond to independent, inconsistent, and dependent systems.


Independent	Inconsistent	Dependent