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# 1.4 Solving Equations

## by leblance on Sep 08, 2011

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• Never true
• Always true

## 1.4 Solving EquationsPresentation Transcript

• 1.4 Solving Equations
• Solving Equations
An equation is a statement in which two expressions are equal.
Solving an equation that contains a variable means finding all values of the variable that make the equation true.
A solution of the equation is a value that makes the equation true.
Inverse operations are operations that “undo” each other.
Inverse operations are used to solve equations
• Solve each equation
• Solve each equation
• Solve each equation
• Solve each equation
• Write an equation to solve each problem.
The flower carpet at Grand Place in Brussels, Belgium has a length that is three times the width and a perimeter of 200 meters. What are the dimensions?
• Write an equation to solve each problem.
Two buses leave Dallas at the same time and travel in opposite directions. One bus averages 58mi/h and the other averages 52mi/h. When will they be 363 mi apart?
• Solutions
An equation does not always have one solution.
An equation has no solution if no value of the variable makes the equation true.
When solving you will reach a false statement
An identity is an equation that is true for every value of the variable.
When solving you will reach a point where one side is identical to the other
• Is the equation always, sometimes, or never true?
• Is the equation always, sometimes, or never true?
• Is the equation always, sometimes, or never true?
• You Try It: Is the equation always, sometimes, or never true?
• You Try It: Is the equation always, sometimes, or never true?
• Literal Equations
A literal equation is an equation that uses at least two different letters as variables.
We usually solve literal equations “in terms of” one of the variables.
• Solve for r
• Solve for x
• Solve for v