Relations, Algebra 1 - Educator.com

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Relations

A relation is a set of ordered pairs. It can be represented as a table, a graph, or a mapping.
The domain of a relation is the set of values given by the first terms of the ordered pairs. The range is the set of values given the second terms.
The inverse of a relation R is the relation obtained by interchanging the coordinates in the ordered pairs of R. The domain of the inverse of R is the range of R and the range of the inverse of R is the domain of R.

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Table of Contents

I. Basic Concepts
	Variables and Expressions	11:22
	Order of Operations	15:59
	Distributive Property	9:50
	Real Number System	17:58
	Functions and Graphs	34:39
II. Solving Linear Equations
	From Sentences to Equations	16:05
	Addition and Subtraction Techniques	15:24
	Multiplication and Division Techniques	15:41
	Techniques for Multistep Equations	14:31
	When the Variable is on Both Sides of the Equation	20:17
	Ratios and Proportion	16:05
	Applications of Percents	13:46
	More Than One Variable	20:38
III. Functions
	Relations	16:58
	Functions	19:27
	Linear Functions	20:15
IV. Linear Functions and Their Graphs
	Slope and Rate of Change	19:46
	Direct Variation	15:13
	Slope Intercept Form of an Equation	11:06
	Point Slope Form of an Equation	9:07
	Parallel Lines and Perpendicular Lines	18:02
V. Systems of Equations
	Graphing Systems of Equations	22:45
	Solving by Substituting	22:41
	Solving by Addition and Subtraction	16:13
VI. Inequalities
	Addition & Subtraction Techniques	11:34
	Multiplication & Division Techniques	10:49
	Techniques for Multistep Inequalities	16:56
	Compound Inequalities	21:32
	Equations with Absolute Value	24:16
	Inequalities with Absolute Values	17:37
	Graphing Inequalities with Two Variables	24:33
	Graphing Systems of Inequalities	24:04
VII. Polynomials
	Multiplying Monomials	22:19
	Dividing Monomials	24:02
	Polynomials	8:56
	Adding and Subtracting Polynomials	15:51
	Multiplying Polynomials by Monomials	18:17
	Multiplying Polynomials	18:02
	Special Products	17:00
VIII. Factoring
	Special Product	17:51
	Factoring Using Greatest Common Factor	25:21
	Factoring Trinomials with Leading Coefficient of 1	27:11
	Factoring General Trinomials	46:09
	Factoring the Difference of Two Squares	24:03
	Factoring Perfect Squares	18:10
IX. Quadratic Functions
	Graphing Quadratic Functions	35:45
	Solving Equations by Graphing	40:42
	Solving Equations by Completing the Square	28:13
	Solving Equations Using the Quadratic Formula	17:17
X. Radical Expressions and Equations
	Simplifying Radical Expressions	41:30
	Operations with Radical Expressions	21:52
	Solving Radical Equations	27:00
	Pythagorean Theorem	17:24
	Distance Formula	26:50
XI. Rational Expressions and Equations
	Inverse Variation	24:13
	Rational Expressions	34:22
	Multiplying Rational Expressions	22:58
	Dividing Rational Expressions	21:49
	Dividing Polynomials	35:57
	Adding and Subtracting Rational Expressions with Like Denominators	17:38
	Adding and Subtracting Rational Expressions with Unlike Denominators	37:16
	Complex Fractions	25:38
	Rational Equations	38:09

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