Alg1 - 1.1 solve simple equations - NOTES

To perform solving simple equations

1. Isolate the variable. This means to get the variable by itself on one side of the equation. To do this, we can use the opposite operations of the operations on the variable. For example, if there is an addition sign on the variable, we can subtract the same number from both sides of the equation.

2. Simplify the equation. This means to remove any unnecessary parentheses or fractions. We can also combine any like terms on both sides of the equation.

3. Check your answer. To check your answer, substitute your answer back into the original equation. If you get the same expression on both sides of the equation, then your answer is correct.

Here is an example of how to solve the linear equation x + 3 = 5:

1 Isolate the variable. Subtract 3 from both sides of the equation:

x + 3 - 3 = 5 - 3

This gives us: x = 2

2 Simplify the equation. There is no need to simplify this equation any further.

3 Check your answer. Substitute 2 for x in the original equation:

Code snippet (2) + 3 = 5

This gives us:

5 = 5

Since we get the same expression on both sides of the equation, we know that our answer is correct.

I hope this helps! Let me know if you have any other questions.