Solving Linear Equations and Inequalities

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Presentation transcript:

Solving Linear Equations and Inequalities

Chapter Sections 2.1 – Combining Like Terms 2.2 – The Addition Property of Equality 2.3 – The Multiplication Property of Equality 2.4 – Solving Linear Equations with a Variable on One Side of the Equation 2.5 – Solving Linear Equations with the Variable on Both Sides of the Equation 2.6 – Formulas 2.7 – Ratios and Proportions 2.8 – Inequalities in One Variable Chapter 1 Outline

The Multiplication Property of Equality

Multiplication Property of Equality If a = b, then a · c = b · c for any real numbers a, b, and c. Example: Solve the equation 9x = 63. · · 9x = ·15 (Multiply both sides by ) 1x= 7 x=7

Multiplication Property of Equality Example: Solve the equation 8w = 3. To solve the equation we divide both sides of the equation by 8. 8w = 3 = w = Divide both sides by 8.