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Chapter 8 - Introduction to Algebra

# Chapter 8 - Introduction to Algebra - Chapter 8...

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Chapter 8 Introduction to Algebra

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Martin-Gay, Basic College Mathematics with Early Integers 2 8.1 – Variable Expressions 8.2 – Solving Equations: The Addition Property 8.3 – Solving Equations: The Multiplication Property 8.4 – Solving Equations Using Addition and Multiplication Pr Chapter Sections
§ 8.1 Variable Expressions

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Martin-Gay, Basic College Mathematics with Early Integers 4 Evaluating Algebraic Expressions Definition Example Variable : A letter to represent all the numbers fitting a pattern. Evaluate: 7 + 3z when z = -3 Algebraic Expression : A combination of numbers, letters (variables), and operation symbols. Evaluating the Expression : Replacing a variable in an expression by a number and then finding the value of the expression z 3 7 + SOLUTION SOLUTION ) 3 ( 3 7 - + = ) 9 ( 7 - + = 9 7 - = 2 - =
Martin-Gay, Basic College Mathematics with Early Integers 5 Combining Like Terms Definition Example Terms : The addends of an algebraic expression. Constant Term : A term that is only a number. Variable Term : A term that contains a variable. Numerical Coefficient : The number factor of a variable term. x x x 3 2 = + 2 x x x = 2 2 x x 2 3 + x 5 4 + x 1 7 + x

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Martin-Gay, Basic College Mathematics with Early Integers 6 Combining Like Terms Distributive Property Properties of Addition and Multiplication
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Chapter 8 - Introduction to Algebra - Chapter 8...

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