1.4 Solving Equations
- 2. Solving EquationsAn 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
- 7. 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?
- 8. 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?
- 9. SolutionsAn 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 statementAn 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
- 10. Is the equation always, sometimes, or never true?
- 11. Is the equation always, sometimes, or never true?
- 12. Is the equation always, sometimes, or never true?
- 13. You Try It: Is the equation always, sometimes, or never true?
- 14. You Try It: Is the equation always, sometimes, or never true?
- 15. Literal EquationsA 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.
- 16. Solve for r
- 17. Solve for x
- 18. Solve for v