Transcript Solving Multiplication and Division Equations

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
The inverse of
division is
multiplication.
Repeat the
operation on the
other side.
m ÷ 3 = 10
x3 x3
m
= 30
Check. Use the original
equation.
m ÷ 3 = 10
30 ÷ 3 = 10
10 = 10
Example 2
The inverse of
multiplying is
dividing.
7b = 105
÷
7
÷
7
15
7 105
b
=
15
7
35
35
0
Check
7b = 105
7(15) = 105
105 = 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
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.
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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.
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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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