Solving Multiplication and Division Equations

1
Solving Multiplication and Division Equations

• Section 4.4Objective Solve one-step
  multiplication and division equations

2
Vocabulary
Coefficient
Division Property of Equality
Multiplication Property of Equality
3
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.

4
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.

5
Examples

•  

6
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.

7
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.
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Using the Multiplication Property of Equality
 
9
Using the Multiplication Property of Equality
 
10
Word Problem Practice

• Raul is solving -6x 72. Find his mistake and
  correct it.

-6x 72

x 12
11
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.___________________________________________
________________________________________________
_________________________________________
12
Essential Question

• How is the process for solving multiplication and
  division one-step equations like solving
  one-step addition and subtraction equations?
• _________________________________________________
  _________________________________________________
  _________________________________________________
  _____________________________