SolveLiteral Equation Worksheets

There are three sets of solving literal equation worksheets:

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to solve three-step literal equations.

How to solve three-step literal equations?

There are two sets of solving three-step literal equations.

• Solve three-step Literal Equations with two variables.
• Solve three-step Literal Equations with three variables.

Solving literal equations involves isolating a specific variable in an equation that contains multiple variables. The goal is to rearrange the equation to solve for the desired variable. Here’s how to solve literal equations step by step:

1. Identify the Variable to Solve For: Determine which variable you want to isolate and solve for in the equation. You have to do PEMDAS backwards in order to isolate the variable. Addition or subtraction first, then multiplication or division, then exponent and then parenthesis.
2. Perform Inverse Operations: Use inverse operations to isolate the variable on one side of the equation. Perform the same operations on both sides of the equation to maintain balance.
3. Simplify and Solve: Continue solving for the desired variable by simplifying the equation step by step until you have the variable isolated on one side.
4. Check Your Solution: After isolating the variable, substitute the solution back into the original equation to verify that it satisfies the equation.

Here’s an example to illustrate the process:

Example: Solve the equation 12x - 3y = 2x for x.

1. Identify the variable to solve for:
We want to solve for x.
2. Perform inverse operations: To isolate x, we need to get x to one side of the equation by subtracting 2x from both sides. Then, we need to get rid of the terms involving y by adding 3y to both sides of the equation:
10x = 3y
3. Simplify and solve: Divide both sides of the equation by 10 to solve for x: x = 3/10 y

Example:

Solving literal equations follows the same principles as solving regular equations, but you’re just isolating a specific variable instead of finding a numerical solution.

Have a look at this video if you need to review how to solve literal equations.

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

More Literal Equation Worksheets

Printable
Literal Equation Worksheet #1 (two variables)
Literal Equation Worksheet #2 (three variables)

More Printable Worksheets

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