Solving Multiplication and Division Equations

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Presentation transcript:

Solving Multiplication and Division Equations Section 4.4 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. The Multiplicative Inverse can be used to solve an equation that involves fractions.

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.

Examples

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

Using the Multiplication Property of Equality

Word Problem Practice -6x = 72 x 12 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? ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________