Solving Multi-Step Linear Equations with Variables on Both Sides

Linear Equations (Multi-step)

by Jerfson Delphonse

​-Used to determine a pattern/trend

​-In the form y=mx

​-Has three solution types:

​No solution, One Solution, Infinite Solution

Multiple Choice

Solve the following equation

2x + 4 = 12

• $$x\ =\ -6$$  

• $$x\ =\ 4$$  

• $$x\ =5$$  

• $$x=-8$$  

​Linear Equations (Multi-step)

​Step 1: Identify where your variables are located

​Step 2: Move the smaller variable

​Step 3: Only move using addition/ Subtraction

​Step 4: Solve using "Properties of Equality"

​*Remember to always distribute first!*

​Let's Solve!!

Multiple Choice

$$3\left(x+4\right)\ +2x\ =5x\ +12$$  

Solve and identify the solution type.

• x= 12

  one solution

• 2=7

  No solution

• I don't know

  but I tried

• 12=12

  Infinite Solution

Poll

Linear Equations can be created using rational numbers. Choose the correct list of rational numbers. (Must be complete)

• Whole , Counting, Integers, Repeating Decimals, and Terminating Decimals

• Whole, Counting, Natural, Integers, All Decimals

• Whole, Counting, Integers, Repeating decimals, Terminating decimals, and natural numbers

• Only perfect squares and perfect cubes

​Let's Solve!!

​Go to page 85 and complete #5-8

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