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Grade 7 Math Worksheets

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.

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:

- 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.
- Combine the like terms: To combine like terms, add or subtract their coefficients. For example, 2x + 3x = 5x.
- Combine the numeric terms: For example, 5x + 2 + 7 = 5x + 9.
- Isolate the variable term. Perform inverse operations to move all other terms to the opposite side of the equation.
- Simplify the equation further, if necessary, until you have the variable term isolated on one side of the equation.
- Solve for the variable by performing the necessary operations to isolate it.
- 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.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Linear Equations Worksheets**.

**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

Solve Word Problems using Algebra

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