opener. notes: 1.3-1.5 solving linear equations rewriting equations and formulas problem solving...
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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 )
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Notes: 1.3-1.5Solving Linear EquationsRewriting Equations and FormulasProblem Solving Using Algebraic Models
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Transformations that Produce Equivalent Equations
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
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Vocabulary
Equation
Linear Equation
Solution
Equivalent
Verbal Model
Algebraic Model
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Problem Set 1: Solving Linear Equations
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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 .
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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.