Solving 2-Step Equations
The Main Objective
The main thing, is get the (x) by itself.
Step 1: Inverse Operations: Addition and Subtraction
The first thing you want to do, is take the addition or subtraction part of the equation, and use the inverse operation. For example, if I had 2x+5=25, I would subtract the 5 from the right side. If you do one thing to one side, do the same to the other. So, we would have 2x=20. Now, it's simple.
Step 2: Inverse Operations: Multiply and Divide
Now we have 2x=20. So, what do we do? We do the same thing as in step 1, but with multiply and divide. 2x is a multiplication problem, so we will have to divide 2 from (x), or, the left side. Again, if we do something to one side, we have to do the same thing to the other. So, we now have to divide 2 from 20, which equals 10. Now we have the x on one side, and the 10 on the other, with an equal sign in the middle. That "equation" says: x=10
In technicality, this is a two-step equation, but in reality, it's kind of a three-step equation.
Step 3: Solve the Equation
This step is pretty self explanatory. All you have to do is plug in the x. For example, x=10 so in my example, it would be: 2(10) + 5 = 25. Now, all you have to do is check to see if the equation is correct.
Now, it's your turn. Don't be scared, it's easy! Try these simple two step equations.
7x + 5 = 40 x=?
5x + 15 = 60 x=?
Did you get the correct answers? Let's check.
Alright, good job! Now try these on your own! Don't forget your inverse operations!
8x + 8 = 64 x=?
2x + 9 = 21 x=?
Now try this one. Watch your inverse operations!
9x - 10 = 71
Did you get the correct answer? If you did, pat yourself on the back. If you didn't, still pat yourself on the back, this type of problem can be tricky at times. If you didn't get these questions correct, please raise your hand so I can come and help you find what you did wrong.
Thank you guys for listening, I hope this helped!