No such thing as subtracting
You end up with a minus
Vince: I'm doing pretty good! What about yourself?
Lucy: Well actually I was wondering if you could help me with this one algebraic expression... 'n+3-5n+12'.
Vince: Hm, it's not that hard you see. All you have to do is organize the terms, you circle like terms then regroup all of it. Then you simplify.
Lucy: I think the answer is '-6n+15', am I correct?
Vince: You circled 'n' and '-5n'... You regrouped, so then the expression should be 'n-5n+3+12'. Then simplified it should be '4n+15'. There's where you went wrong! Instead of adding a positive 'n' to '-5n' you added a negative 'n', that's how you got '-6n+15'!
Lucy: Oh really?! Wow, I never realized that I have made that mistake, and the answer should be '-4n+15'? ... Thanks for helping me, if you need some help I'll be there!
*A few minutes after working in silence.
Vince: Hey, since you said you'd help me if I needed it, could you help me with just this question... '2+4(3n+8)'. I came up with the answer '12n+10'.
Lucy: This uses the distributed property: '4(3n+8)' and you use bring down 2. You have to identify your terms inside the brackets, which are '3n' and 8. Then the next step you multiply '3n' by the number 4, and 8 by 4. Then if it's properly simplified the question should now read: '2+12n+32'.
Vince: That's what I wrong! I see now, continue please.
Lucy: You then circle the like terms 2 and 32. Reorganize the expression, then combine like terms! Then answer should be '12n+32'.
Vince: Oh! Thanks for helping me solve the question!
Lucy: You're welcome!
Vince: Hey, wait!
Lucy: Yes, what?
Vince: Do you want to go to lunch together?
Lucy: Sure, of course. Thanks!
The day passes..
Chapter 3: One Step Equation Solving
Additive Equation: The first thing I did was isolate the variable by adding it's opposite; (-4). The next thing I did was to balance the equation by doing the same thing you did to one side to the other. The equation should now look like this: -4+4+n=6-4. Then I cancel out the zero pairs! Now you should be left with n=2. Verify is the next thing you do, replacing the variable with 2.
Subtractive Equation: Isolate the variable by adding the opposite of the constant; (-4). Balance it out doing the same thing to the other side: x-4+4=8. Cancel out, and you should be left with x=12. Don't forget to verify.
Multiplicitive Equation: Isolate the variable, divide by 2 on both sides so they're balanced! Then all your left with: n=8. Now all you do is verify, you replace 'n' with 8: 2(8)=16. Does that work? YEAH! 16=16
Divisive Equation: The first thing you have to do is to isolate the variable just like all the previous ones. What's the opposite of dividing by 5? Multiplying by 5! Then don't forget to balance the equation out, by doing the same thing to the other side. Zero pairs should be gone now! The last step is to verify, to make sure it's correct. 2=2
Chapter 4: Algetile Video