Solving by Addition and Subtraction, Algebra 1

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Carleen Eaton

Grant Fraser

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Solving by Addition and Subtraction

If no coefficient is 1 or –1, use the addition and subtraction method. If you can add or subtract the equations and get one variable to vanish, then just solve for the remaining variable. This called elimination.
Use this method if the coefficients of one of the variables have the same or opposite signs in the two equations.

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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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Solving by Addition and Subtraction

QuickNotes™

Solving by Addition and Subtraction

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