SAT Math Solving Equation

[InexorableVideos]

The first method might be longer, but it is absolutely not wrong!

[jgg]

I love these videos, I think it's important to teach both paths to be able to understand the right path and the wrong path in a different way, good vibes and I look forward to more videos, thanks for teaching.

yo amo estos videos, yo pienso que es importante enseñar los dos caminos para poder comprender de diferente manera el camino correcto y el camino incorrecto, buenas vibras y espero mas videos, gracias por enseñar.

[jakovmanishek]

The first and second methods are the same, and both are correct, because in the first case we multiply both parts by (x - 3), knowing that (x - 3) ≠ 0 (range of acceptable values) => x ≠ 3

[xninja]

That's why my teacher always said that : take out common term first and in 99% case otherwise some sums get too much complicated
Gosh now i remember him

[peach_]

I dunno which way is correct. But how you hold a chalk is amazing

[timeonly]

In the short way, you need to say that either x=3, or not. If x=3, then the expression [with numerator factored: 11(x-3) ] on the LHS is undefined.(one could also state that the domain of the function on the LHS must exclude x=3). So, we consider the case when x NOT equal to 3... which means that x-3 is NOT ZERO, and hence we can cancel the factors of (x-3), to get 11=x.

[captainqwerty]

new fear unlocked, this denominator thing even in equalities

[aarusharya]

Excellent explanation. Just want to add a point though. In shorter method x-3 can only be canceled out assuming x-3 cannot be zero or x cannot be equal to 3.

[teamflod]

I've never thought of the wrong way. Like he mad it tough.

[ZzSlumberzZ]

I hesitate to cancel out x's in numerator and denominator as I fear that might remove the extra roots.

[heatheninc.]

Bro, it's been almost a decade since I was in school and even I followed that good job!

[stanky]

Yeah SAT math you just look for shortcuts. They're usually all pretty similar patterns, so it's not as bad as people might think

[adamantturner]

I love these videos. We need more educational videos than crap.

[MichaelMaysMusicMinistries]

Factor first! I’m tutoring my daughter in Algebra I and it’s the step she forgets the most. Even if factoring doesn’t lead you straight to the correct answer, it at least gives you a sense of the nature of the numbers involved.

As to those saying “Eleven isn’t wrong so the first way isn’t wrong since it produces that value, ” he clearly meant it was wrong because it was so long and forgot to use that basic algebra rule:

FACTOR FIRST! Since the typical reaction bypasses this, he’s right—it is wrong because it skips this step, not because you can’t get a correct answer. Heck, guessing can get you the right answer, too. Are you people gonna argue guessing is okay, too?

[toanly]

I'm impressed by his chalk handling skills, for the the way "it's supposed to be done" what are you testing for? their ability to see the simplification instead of the long way? what's the value in that, and what's the value of why you value it in the overall reason why the test is conducted in general.

[rishavsingh]

Professor plays with the basics very well which we usually forgot or skip .

[littledeathmark]

the first one long, but it isn't wrong. u just have to know how domains work and you'll eventually figure it out.

[alejrandom]

You can visualize this as the intersection between 2 graphs
y=11 and
y=x for x/=3 (meaning there is a hole at x=3)
Only intersection is at x=11

[SwagnerCountsThings]

The way he holds chalk is so satisfying

[RohitSharma-kgye]

The sound of the chalk is so satisfying