If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Lesson 5: Finding mistakes in one-step equations

# Finding mistakes in one-step equations

In this lesson, we learned how to spot mistakes in solving algebraic equations. We saw that it's crucial to apply the same operation to both sides of the equation. We also learned the importance of accurate arithmetic in getting the correct answer. Lastly, we saw that not all steps, even if algebraically correct, help simplify the equation.

## Want to join the conversation?

• Question. Why would it matter if you got step one wrong if you got step 2 right?
• I guess it's because teachers want us to do everything right the first time, and while you may get lucky to get the correct answer, in the end, it's the work that mainly counts and you may not get lucky every time on step two. :/
• Why are almost all the mess ups on step one?
• I don't know. Maybe it is because you are most likely to mess up on step one?? I don't really know, this is just a guess.
• on 2.35 why are we flipping the fractions.
• because it makes it equivalent to 1 and cancels out the fraction and changes the other one.
• y + 5 = 12

y + 5 - 5 = 12 - 5

y = 7

Is this correct? Why or why not?
• 1/3 = 2/3x

3/2 * 1/3 = 3/2 * 2/3x

1/2 = x

Is that correct? Why or why not?
• Yes that is correct, if you multiply numerators and denominators, you get 3/6 which reduces to 1/2.
• where do we use equations in everyday life?
• On the 2nd problem, you said that whatever you do to the right/left hand side, you do to the left/right hand side, but instead of multiplying by 1/3, couldn't you just divide by 1/3 instead? Any thoughts?