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Solving Multiplication and Division Equations

- Section 4.4Objective 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

- 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. ______________

_________________________________________________

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____________________ 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? - _________________________________________________

_________________________________________________

_________________________________________________

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