Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-1 1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

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Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear Equations and Inequalities

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter – 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 Sections

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-3 The Addition Property of Equality

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-4 Linear Equations A linear equation in one variable is an equation that can be written in the form ax + b = c where a, b, and c are real numbers and a  0. The solution to an equation is the number that when substituted for the variable makes the equation a true statement.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-5 Solutions to Equations Example: Consider the equation 2x – 4 = 6. Determine whether -3 is a solution. x = -3 2x – 4 = 6 2(-3) – 4 = 6 -6 – 4 = = 6 (False) Since we obtained a false statement, x = -3 is not a solution to the equation. ? ?

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-6 Equivalent Equations Two or more equations with the same solution are called equivalent equations. We ensure that an equation always remains balanced by doing the same thing to both sides of the equation. Left sideRight side =

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-7 Example: Solve the equation x – 4 = - 3 x – 4 = -3 x – = (Add 4 to both sides.) x + 0 = 1 x = 1 Check: x – 4 = -3 1 – 4 = = -3 (True) Addition Property of Equality If a = b, then a + c = b + c for any real numbers a, b, and c.

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