One-Step Equations

Interactive Tutorial • Practice Problems • Speed Quiz

What are One-Step Equations?

An equation is a mathematical statement that shows two expressions are equal. A **one-step equation** requires just one operation to solve for the unknown variable.

  The key is to use **inverse operations** to "undo" what's been done to the variable.   The goal is to get the variable all by itself on one side of the equals sign.   $$x + 5 = 12$$   The variable, x, has 5 added to it. To "undo" this, we subtract 5 from both sides.   $$x + 5 - 5 = 12 - 5$$   $$x = 7$$

 
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Video: The Balance Analogy ⚖️

Watch this video to understand the concept of inverse operations using a balance scale.

 
 
 

Practice Problems

Solve each equation for the variable and enter your answer.

 
   
1) Addition: $$x + 8 = 15$$
       
   
 
 
   
2) Subtraction: $$y - 4 = 9$$
       
   
 
 
   
3) Multiplication: $$3m = 21$$
       
   
 
 
   
4) Division: $$\frac{p}{5} = 4$$
       
   
 

⚡ Equation Speed Quiz

       
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