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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 )
Notes: 1.3-1.5Solving Linear EquationsRewriting Equations and FormulasProblem 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
Vocabulary
Equation
Linear Equation
Solution
Equivalent
Verbal Model
Algebraic Model
Problem Set 1: Solving Linear Equations
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 .
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.