Graphing Systems of Inequalities, Algebra 1

Algebra 1 > Graphing Systems of Inequalities

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Graphing Systems of Inequalities

A system of inequalities is two inequalities in the same two variables. The solution is the set of all ordered pairs that satisfy both inequalities.
To solve a system of inequalities, graph each inequality. The solution of the system is the intersection of the graphs of the inequalities.
If the intersection is empty, the system has no solution.
In certain real world problems, only solutions that are positive numbers or integers make sense.

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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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Graphing Systems of Inequalities

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Graphing Systems of Inequalities

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