Solving One-Step Equations
|
|||
You know the answer, right? Yes, 3! 3*3 = 9! Another question to ponder- What is the opposite of multiplication? Yes... division! We are going to divide in order to get x by itself!
Why divide? What is 3/3? Yes... 1! What is 1*x? You got it.... x! That's how we get x by itself! We want the coefficient to be 1. Anytime you divide a number by itself, you will get an answer of 1!
Let's look at a few examples:

Would you like to see more examples on video? Algebra Class E-courses not only offer video instruction, but you'll get practice problems with complete step-by-step solutions!

Not too hard if the coefficient is an integer! What happens if the coefficient is a fraction?
Think: If I have 2/3x, how can I make 2/3 a coefficient of 1?
Yes... you will divide by 2/3, but...Do you remember what a reciprocal is in math? When you divide a fraction, you actually multiply by the reciprocal.
If you take 2/3 and you flip it to 3/2, that is the reciprocal! If you multiply by the reciprocal, you will have a coefficient of 1. Watch this:

You may also have problems where your answer results in a fraction. Here's one more example:


1. -5x = 25
2. 7y = -21
Ok.... ready to check your answers?
If you are following the Pre-Algebra unit, then your next lesson is on division equations.
Sign Up for Algebra Class E-courses
The Algebraic Expressions Course is the perfect solution for fine tuning those rusty Pre-Algebra skills.
Once you sign in. you'll have instant access to the student workbook and online videos.
It's FREE, so try it today!
Algebra Class E-courses provide you with the instruction and resources you need to be successful in Algebra 1. Video Lessons, practice problems, detailed solutions, and read more.....