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1.4

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1.4

1. 1. 1.4 SOLVING EQUATIONS
2. 2. 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
3. 3. SOLVE EACH EQUATION
4. 4. SOLVE EACH EQUATION
5. 5. SOLVE EACH EQUATION
6. 6. SOLVE EACH EQUATION
7. 7. WRITE AN EQUATION TO SOLVE EACHPROBLEM. 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. 8. WRITE AN EQUATION TO SOLVE EACHPROBLEM. 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. 9. 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
10. 10. IS THE EQUATION ALWAYS, SOMETIMES, ORNEVER TRUE?
11. 11. IS THE EQUATION ALWAYS, SOMETIMES, ORNEVER TRUE?
12. 12. IS THE EQUATION ALWAYS, SOMETIMES, ORNEVER TRUE?
13. 13. IS THE EQUATION ALWAYS, SOMETIMES, ORNEVER TRUE?
14. 14. 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.
15. 15. SOLVE FOR R
16. 16. SOLVE FOR X
17. 17. SOLVE FOR V
18. 18. HOMEWORK Page 30  #4 – 6  #11 – 25 odd  #28  #29 – 39 odd  #42, 46, 47, 51