Inequalities with Absolute Values, Algebra 1

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Carleen Eaton

Grant Fraser

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Inequalities with Absolute Values

To solve an inequality involving absolute value, convert the original inequality into a compound inequality that does not involve absolute value, using the definition of absolute value. For example, |2x + 3| > 4 would become: either 2x + 3 > 4 or 2x + 3 < -4.
Describe the solution set of a compound inequality using either a number line or set builder notation.

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Table of Contents

I. Basic Concepts
	Variables and Expressions	24:05
	Order of Operations	22:16
	The Distributive Property	16:27
	The Real Number System	22:35
	Functions and Graphs	27:49
II. Solving Linear Equations
	From Sentences to Equations	22:13
	Addition and Subtraction Techniques	14:39
	Multiplication and Division Techniques	19:19
	Techniques for Multi-Step Equations	19:13
	When the Variable is on Both Sides of the Equation	24:16
	Ratios and Proportions	22:39
	Applications of Percents	20:38
	More Than One Variable	22:34
III. Functions
	Relations	24:39
	Functions	19:03
	Linear Functions	20:03
IV. Linear Functions and their Graphs
	Slope and Rate of Change	23:58
	Direct Variation	13:18
	Slope Intercept Form of an Equation	17:11
	Point Slope Form of an Equation	10:32
	Parallel and Perpendicular Lines	18:15
V. Systems of Equations
	Graphing Systems of Equations	20:01
	Solving by Substitution	24:12
	Solving by Addition and Subtraction	12:18
	Solving by Multiplication	19:11
	Applications: Systems of Equations	18:24
VI. Inequalities
	Inequalities: Addition and Subtraction Techniques	10:08
	Inequalities: Multiplication and Division Techniques	10:59
	Techniques for Multi-Step Inequalities	16:21
	Compound Inequalities	23:00
	Equations with Absolute Values	23:13
	Inequalities with Absolute Values	17:34
	Graphing Inequalities with Two Variables	30:50
	Graphing Systems of Inequalities	27:38
VII. Polynomials
	Multiplying Monomials	19:55
	Dividing Monomials	23:09
	Polynomials	16:35
	Adding and Subtracting Polynomials	22:00
	Multiplying Polynomials by Monomials	24:08
	Multiplying Polynomials	26:37
	Special Products	19:40
VIII. Factoring
	Factoring Monomials	27:25
	Factoring Using Greatest Common Factor (GCF)	26:03
	Factoring Trinomials with Leading Coefficient 1	27:37
	Factoring General Trinomials	34:11
	Factoring the Difference of Two Squares	20:22
	Factoring Perfect Squares	18:07
IX. Quadratic Functions
	Graphing Quadratic Functions	28:05
	Solving Equations by Graphing	28:18
	Solving Equations by Completing the Square	25:07
	Solving Equations Using the Quadratic Formula	24:15
X. Radical Expressions and Equations
	Simplifying Radical Expressions	32:40
	Operations with Radical Expressions	19:59
	Solving Radical Equations	26:50
	Pythagorean Theorem	19:08
	Distance Formula	18:27
XI. Rational Expressions and Equations
	Inverse Variation	14:43
	Rational Expressions	32:43
	Multiplying Rational Expressions	27:22
	Dividing Rational Expressions	28:30
	Dividing Polynomials	29:44
	Adding and Subtracting Rational Expressions with Like Denominators	16:50
	Adding and Subtracting Rational Expressions with Unlike Denominators	36:00
	Complex Fractions	18:43
	Rational Equations	39:10

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Inequalities with Absolute Values

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Inequalities with Absolute Values

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