Linear Equation Worksheets (Distributive Property)

There are five sets of solving linear equation worksheets:

• Solve linear equations (1-step equations)
  
• Solve linear equations (2-step equations)
  
• Solve linear equations (combine like terms)
  
• Solve linear equations (distributive property & combine like terms)
  
• Solve linear equations (fractions)
  

Examples, solutions, videos, and worksheets to help Grade 6 and Grade 7 students learn how to solve linear equations by using the distributive property and combining like terms.

How to solve linear equations (distributive property & combining like terms)?

There are three sets of solving linear equations worksheets using distributive property & combining like terms.

• Solve linear equations (variables on one side, positive coefficients).
• Solve linear equations (variables on one side, negative coefficients).
• Solve linear equations (variables on both sides).

You can follow these steps to solve a linear equation:

1. Use the distributive property and combine like terms, if applicable.

• Multiply each term inside the parentheses by the number or variable outside the parentheses.
• Combine the like terms that were created by the distribution.

2. Isolate the variable term. Perform inverse operations to move all other terms to the opposite side of the equation.
3. Simplify the equation further, if necessary, until you have the variable term isolated on one side of the equation.
4. Solve for the variable by performing the necessary operations to isolate it.
5. Check your solution by substituting the value you found back into the original equation and verifying that both sides are equal.

For example,
3x + 3(2x + 3) = 54
3x + 6x + 9 = 54
9x + 9 = 54
9x = 54
x = 5

Have a look at this video if you need to review how to solve linear equations by using the distributive property and combining like terms.

• Solve Linear Equations by Using the Distributive Property & Combine Like Terms

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Linear Equations Worksheets.

 

More Linear Equation Worksheets (Distributive Property & Combine Like Terms)

Printable
(Answers on the second page.)
Linear Equations Worksheet #1 (variables on one side, positive coefficients)
Linear Equations Worksheet #2 (variables on one side, negative coefficients)
Linear Equations Worksheet #3 (variables on both sides)
Linear Equations Worksheet #4 (describe each step)
Linear Equations Worksheet #5 (describe each step)

Online or Generated
Combine like Terms (Sprint)
Solve by Combining Like Terms
Solve Equations with the Variable on Both Sides

Solve Equations by Distributive Property
Solve Multi-Step Equations 1
Solve Multi-Step Equations 2
Solve Word Problems using Algebra

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