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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.

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

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Extra Example 2 EXAMPLE 3 Click to see the solution

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Extra Example 3 Click to see the solution

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Checkpoint 1. Solve –22 = –2x.

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

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

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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

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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

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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

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

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QUESTIONS?

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Two equations are equivalent if they have the same solutions. Solving a Linear Equation An equation is a statement in which two expressions are equal.

Two equations are equivalent if they have the same solutions. Solving a Linear Equation An equation is a statement in which two expressions are equal.

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