Solving Equations Review

Solving Equations Review

Multiple Types of Equations

• Simple - variable on one side of the equation

• Complex - variable on both sides of the equation

Key Terms

• Constant - number that does not have a variable with it

• Coefficient - number that has a variable beside it

Solving Simple Equations

1. Distribute

2. Combine constants and coefficients (combining like terms)

3. Move constants to one side

4. Divide by coefficient

Solving Complex Equations

1. Distribute

2. Combine constants and coefficients (combining like terms)

3. Move constants to one side of the equation

4. Move coefficients to the other side of the equation

5. Divide by the coefficient

Open Ended

 $3\left(5x-2\right)+10=13$  

 $15x-6+10=13$  

What would be the next step that you need to take? 

Open Ended

 $2\left(3x-1\right)+3=8x-4+2x$  

Write the equation if I distribute and combine like terms. (Do not move anything to the other side)

One, None, or Infinite Solutions

One Solution - when you solve you will get x=#

No Solution - when you solve you will get a false statement, like 6=10

Infinite Solutions - when you solve you will get a true statemen, like 5=5

Multiple Choice

When you solve an equation you get 8=8. How many solutions does that equation have?

• One

• None

• Infinite

Multiple Choice

When you solve an equation you get x=4. How many solutions does that equation have?

• One

• None

• Infinite

Multiple Choice

When you solve an equation you get 5=3. How many solutions does that equation have?

• One

• None

• Infinite