1. GOAL 1 MULTIPLICATION AND DIVISION EQUATIONS 3.2 Solving Equations Using Multiplication and Division EXAMPLE 1 TRANSFORMATIONS THAT PRODUCE EQUIVALENT EQUATIONS Multiply each side of the equation by the same nonzero number. Divide each side of the equation by the same nonzero number.

2. Extra Example 1 EXAMPLE 2 Solve –3x = 2. Click to see the solution

3. Extra Example 2 EXAMPLE 3 Click to see the solution

4. Extra Example 3 Click to see the solution

5. Checkpoint 1. Solve –22 = –2x.

6. ADDITION PROPERTY OF EQUALITY SUBTRACTION PROPERTY OF EQUALITY MULTIPLICATION PROPERTY OF EQUALITY DIVISION PROPERTY OF EQUALITY PROPERTIES OF EQUALITY

7. GOAL 2 SOLVING REAL-LIFE PROBLEMS EXAMPLE 4 VOCABULARY ratio similar triangles 3.2 Solving Equations Using Multiplication and Division

8. Extra Example 4 a. A strobe light emits 14 flashes per second. Find the total number of flashes it emits in a 5-min period. Click to see the solution

9. Extra Example 4 (cont.) EXAMPLE 5 b. A time-lapse camera photographed a growing plant at the rate of 25 frames per hour over several days. For how many days was the plant photographed if there were a total of 17,400 frames? Click to see the solution

10. Extra Example 5 The two triangles are similar. What is the length of side 6 cm x S R T 8 cm 4 cm P MN Click to see the solution

11. Checkpoint For the triangles in Extra Example 5, find the length of given that the length of is 5 cm.

12. QUESTIONS?