Solving Multiplication and Division Equations Section 6.2 Objective: Solve one-step multiplication and division equations.

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Presentation transcript:

Solving Multiplication and Division Equations Section 6.2 Objective: Solve one-step multiplication and division equations

Vocabulary Coefficient Division Property of Equality Multiplication Property of Equality

Notes  You can use the Division Property of Equality to solve multiplication equations.  You can also use the Multiplication Property of Equality to solve division equations.

Procedure  Isolate the variable by performing the inverse operation on the number that is attached to the variable.  The inverse of multiplication is division. The inverse of division is multiplication.  Use the “Golden Rule.” Perform the same operation on the other side of the equal sign.

Example m ÷ 3 = 10 The inverse of division is multiplication. x 3 Repeat the operation on the other side. x 3 m= 30

Check. Use the original equation. m ÷ 3 = ÷ 3 = = 10

Example 2 7b = 105 The inverse of multiplying is dividing. ÷ 7 b =

Check 7b = 105 7(15) = = 105

Using the Division Property of Equality 1. Solve 20 = 4x. Check your solution. 2. Solve -8y = 24. Check your solution. 3. Solve -9d = -72. Check your solution.

Using the Division Property of Equality 4. Lelah sent 574 text messages last week. On average, how many messages did she send each day? 5. Antonia earns $6 per hour helping her grandmother. Write and solve an equation to find how many hours she needs to work to earn $48.

Using the Multiplication Property of Equality

Word Problem Practice 1.Raul is solving -6x = 72. Find his mistake and correct it. -6x=72 = x=12

Word Problem Practice 2. True or False. To solve the equation 5x = 20, you can use the Multiplication Property of Equality. Explain your reasoning. ____________________________________________ ____________________________________________ ____________________________________________ 3. A dragonfly can fly a distance of 50 feet at a speed of 25 feet per second. Find the time in seconds. Write the equation in the form d = rt, then solve. ____________________________________________ ____________________________________________ ____________________________________________

Essential Question How is the process for solving multiplication and division one-step equations like solving one-step addition and subtraction equations? ____________________________________________ ____________________________________________