1. 1.4 SOLVING EQUATIONS

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. SOLVE EACH EQUATION

4. SOLVE EACH EQUATION

5. SOLVE EACH EQUATION

6. SOLVE EACH EQUATION

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. 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. 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. IS THE EQUATION ALWAYS, SOMETIMES, OR
NEVER TRUE?

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. SOLVE FOR R

16. SOLVE FOR X

17. SOLVE FOR V

18. HOMEWORK
 Page 30
 #4 – 6
 #11 – 25 odd
 #28
 #29 – 39 odd
 #42, 46, 47, 51