Linear Equation Worksheets (Combine Like Terms)

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 combining like terms.

How to solve linear equations by combining like terms?

There are four sets of solving linear equations worksheets by combining like terms.

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

You can follow these steps to solve a linear equation by combining like terms:

1. Identify like terms: Like terms are terms that have the same variable(s) with the same power(s). For example, 2x and 3x are like terms, while 2x and 3y are not like terms.
2. Combine the like terms: To combine like terms, add or subtract their coefficients. For example, 2x + 3x = 5x.
3. Combine the numeric terms: For example, 5x + 2 + 7 = 5x + 9.
4. Isolate the variable term. Perform inverse operations to move all other terms to the opposite side of the equation.
5. Simplify the equation further, if necessary, until you have the variable term isolated on one side of the equation.
6. Solve for the variable by performing the necessary operations to isolate it.
7. Check your solution by substituting the value you found back into the original equation and verifying that both sides are equal.

For example,
3y - 4 + 2y = 6
3y + 2y - 4 = 6
5y - 4 = 6
5y = 10
y = 2

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

• Solve Linear Equations by Combining 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 by Combining Like Terms

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

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
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