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Opener 1. Graph the numbers on a number line: 2. What property is illustrated by the statement ? 3. What is the quotient of and ? 4. Evaluate . 5. Evaluate when and 6. Simplify the expression )

Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

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Page 1: Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

Opener

1. Graph the numbers on a number line:

2. What property is illustrated by the statement ?

3. What is the quotient of and ?

4. Evaluate .

5. Evaluate when and

6. Simplify the expression )

Page 2: Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

Notes: 1.3-1.5Solving Linear EquationsRewriting Equations and FormulasProblem Solving Using Algebraic Models

Page 3: Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

Transformations that Produce Equivalent Equations

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Page 4: Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

Vocabulary

Equation

Linear Equation

Solution

Equivalent

Verbal Model

Algebraic Model

Page 5: Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

Problem Set 1: Solving Linear Equations

Page 6: Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

Problem Set 2: Rewriting Equations

1. Solve for

2. The formula for the perimeter of a rectangle is . Solve for .

3. Solve for .

4. The formula for the area of a triangle is . Solve for .

Page 7: Opener. Notes: 1.3-1.5 Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models

Writing and Using a Model

You own a lawn care business. You want to know how much money you spend on gasoline to travel to out-of-town clients. In a typical week you drive 600 miles and use 40 gallons of gasoline. Gasoline costs $1.25 per gallon, and your truck’s fuel efficiency is 21 miles per gallon on the highway and 13 miles per gallon in town.