Multiplication and Division One Step Equations

Multiplication and Division One Step Equations

Integers

• In order to solve one step equations, you need to be able to complete operations with integers (adding, subtracting, multiplying and dividing).

• Integers are positive and negative whole numbers.

  
  

Important Vocabulary for Equations

• Variable – is a symbol, commonly a single letter, that represents a number.  

• Coefficient - A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. 

• Constant - is a number on its own

Solving Equations

• When solving equations, think of the equation as a scale. Each side of the equals sign must remain “balanced.”

• Whatever you do to one side, you MUST do it to the other.

• The goal of solving equations is to get one variable by itself on one side of the equals sign.

• You will use inverse operations to "undo" the problem to solve for the variable.

6x = 36

Refer to the videos posted on Microsoft Teams

-72 = 9x

• Refer to the videos posted on Microsoft Teams

-2x = 82

• Refer to the videos posted on Microsoft Teams

 $\frac{a}{-4}=-9$  

• Refer to the videos posted on Microsoft Teams
  

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 $\frac{m}{2}=-10$  

• Refer to the videos posted on Microsoft Teams
  

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 $30\ =\ \frac{b}{-6}$  

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Multiple Choice

-20 = 4x

• 5

• -5

• 4

• 3

Multiple Choice

-8y = 24

• 5

• -2

• -3

• 4

Fill in the Blank

-9d = -72

Multiple Choice

 $\frac{y}{-3\ }=\ -8$  

• 20

• 24

• 32

• 16

Multiple Choice

 $-7\ =\ \frac{m}{5}$  

• -30

• -35

• -40

• 30

Fill in the Blank

 $\frac{m}{2}=\ -10$  

Lelah sent 574 text messages last week. On average, how many messages did she send each day?

• Let m represent the number of messages lelah sent.

• Write an equation

• 574 = 7m ( The reason we use is 7 is because there are 7 days in a week)

• Now solve (divide both sides by 7)

• M= 82

The distance d Trina traveled in her car while driving 60 miles per hour for 3 hours is given by the equation

 $\frac{d}{3}=\ 60$  . How far did she travel?

• Solve the equation  $\frac{d}{3}=60$  

• Multiply both sides by 3

• D = 180

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Fill in the Blank

The distance d that lee travels on his bike at a rate of 20 miles per hour for 4 hours is given by the equation

 $\frac{d}{4}=\ 20\$  . How far did he ride?

Fill in the Blank

Serena mailed 138 letters during the last 6 days. Write and solve an equation to find, on average, how many letters she mailed each day.