131 Solving Equations 3 CHAPTER OUTLINE 3.1 Simplifying Expressions and Combining Like Terms 132 3.2 Addition and Subtraction Properties of Equality 140 3.3 Multiplication and Division Properties of Equality 148 3.4 Solving Equations with Multiple Steps 153 Problem Recognition Exercises: Identifying Expressions and Equations 159 3.5 Applications and Problem Solving 159 Group Activity: Deciphering a Coded Message 168 Chapter 3 In this chapter, we continue our study of algebra by learning how to solve linear equations. An equation is a statement indicating that two expressions are equal. A solution to an equation is a value of the variable that makes the right-hand side of an equation equal to the left-hand side of the equation. Review Your Skills To check the solution to an equation, you will have to evaluate expressions. Evaluate each expression for x 5. Then match the expression in the left column with an expression of equal value in the right column. Fill in each numbered blank of the quote with the letter corresponding to its equivalent expression. 1. 3x 2 R. 10 2x 2. x 5 E. x 8 3. 4(x 1) U. 2x 9 3x 4. 11 x N. 6x 14 “___ ___ M B ___ ___ S ___ ___ L ___ T H ___ ___ ___ I V ___ ___ S ___” 4 3 1 2 2 3 1 1 3 4 1 2 1 Pythagoras
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