This worksheet is all about solving linear equations using the balance method. Linear equations are mathematical expressions with an equal sign, where the highest power of the variable is 1.
The balance method is a way of solving equations by keeping both sides of the equation balanced, like a scale. When you do something to one side, you must do the same thing to the other side to keep it balanced.
Here’s what you’ll need to do in this worksheet:
- Look at the first linear equation on the worksheet. Your goal is to find the value of the variable (usually represented by a letter like x or y) that makes the equation true.
- Using the balance method, try to isolate the variable on one side of the equation. To do this, you can add, subtract, multiply, or divide both sides of the equation by the same number. Remember, whatever you do to one side, you must do to the other side to keep it balanced.
- Keep simplifying the equation until you find the value of the variable that makes the equation true.
- Write the solution to the equation in the space provided.
- Repeat these steps for each linear equation on the worksheet.
For example, let’s say you have the equation:
x + 4 = 10
Using the balance method, you want to isolate the variable x. To do this, you can subtract 4 from both sides of the equation:
x + 4 – 4 = 10 – 4
This simplifies to:
x = 6
So, the solution to the equation is x = 6.
Take your time and remember to keep both sides of the equation balanced as you work through the problems. Good luck, and have fun solving linear equations!
Printable Linear Equations Worksheets