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# 1.4 Solving Equations

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• ### 1.4 Solving Equations

1. 1. 1.4 Solving Equations<br />
2. 2. Solving Equations<br />An equation is a statement in which two expressions are equal.<br />Solving an equation that contains a variable means finding all values of the variable that make the equation true. <br />A solution of the equation is a value that makes the equation true.<br />Inverse operations are operations that “undo” each other.<br />Inverse operations are used to solve equations<br />
3. 3. Solve each equation<br />
4. 4. Solve each equation<br />
5. 5. Solve each equation<br />
6. 6. Solve each equation<br />
7. 7. Write an equation to solve each problem.<br />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?<br />
8. 8. Write an equation to solve each problem.<br />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?<br />
9. 9. Solutions<br />An equation does not always have one solution.<br />An equation has no solution if no value of the variable makes the equation true.<br />When solving you will reach a false statement<br />An identity is an equation that is true for every value of the variable.<br />When solving you will reach a point where one side is identical to the other<br />
10. 10. Is the equation always, sometimes, or never true?<br />
11. 11. Is the equation always, sometimes, or never true?<br />
12. 12. Is the equation always, sometimes, or never true?<br />
13. 13. You Try It: Is the equation always, sometimes, or never true?<br />
14. 14. You Try It: Is the equation always, sometimes, or never true?<br />
15. 15. Literal Equations<br />A literal equation is an equation that uses at least two different letters as variables.<br />We usually solve literal equations “in terms of” one of the variables.<br />
16. 16. Solve for r<br />
17. 17. Solve for x<br />
18. 18. Solve for v<br />