[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.42,0:00:04.37,Default,,0000,0000,0000,,- [Voiceover] Carly tried to\Nsolve an equation step by step.
Dialogue: 0,0:00:04.37,0:00:06.04,Default,,0000,0000,0000,,And they tell us, they see, we see
Dialogue: 0,0:00:06.04,0:00:07.67,Default,,0000,0000,0000,,how she tried to solve the equation.
Dialogue: 0,0:00:07.67,0:00:10.08,Default,,0000,0000,0000,,They say find Carly's mistake.
Dialogue: 0,0:00:10.08,0:00:11.29,Default,,0000,0000,0000,,So let's see what Carly did.
Dialogue: 0,0:00:11.29,0:00:15.82,Default,,0000,0000,0000,,She started with 7a = 28.
Dialogue: 0,0:00:15.82,0:00:19.58,Default,,0000,0000,0000,,Then on the left hand\Nside she divides it by a
Dialogue: 0,0:00:19.58,0:00:23.20,Default,,0000,0000,0000,,and on the right hand\Nside she divides by 7.
Dialogue: 0,0:00:23.20,0:00:24.66,Default,,0000,0000,0000,,Well this seems strange.
Dialogue: 0,0:00:24.66,0:00:25.82,Default,,0000,0000,0000,,When you're manipulating an equation
Dialogue: 0,0:00:25.82,0:00:27.59,Default,,0000,0000,0000,,whatever you do to one\Nside, you have to do
Dialogue: 0,0:00:27.59,0:00:28.73,Default,,0000,0000,0000,,to the other side.
Dialogue: 0,0:00:28.73,0:00:31.72,Default,,0000,0000,0000,,Over here she decides to\Ndivide the left side by a,
Dialogue: 0,0:00:31.72,0:00:35.04,Default,,0000,0000,0000,,on the right side she\Nshould divide by a as well.
Dialogue: 0,0:00:35.04,0:00:37.53,Default,,0000,0000,0000,,Or if she wants to divide\Nthe right side by 7,
Dialogue: 0,0:00:37.53,0:00:40.10,Default,,0000,0000,0000,,she should divide the\Nleft side by 7 as well,
Dialogue: 0,0:00:40.10,0:00:42.54,Default,,0000,0000,0000,,but she's dividing both sides\Nby two different things.
Dialogue: 0,0:00:42.54,0:00:46.21,Default,,0000,0000,0000,,So step 1 is where she makes the mistake.
Dialogue: 0,0:00:46.21,0:00:47.30,Default,,0000,0000,0000,,The right thing for her to do,
Dialogue: 0,0:00:47.30,0:00:49.39,Default,,0000,0000,0000,,or I guess maybe the\Nmost reasonable thing,
Dialogue: 0,0:00:49.39,0:00:52.76,Default,,0000,0000,0000,,if she wants to solve for\Na, divide both sides by 7.
Dialogue: 0,0:00:52.76,0:00:54.85,Default,,0000,0000,0000,,Then she would have\Nbeen left with just an a
Dialogue: 0,0:00:54.85,0:00:56.68,Default,,0000,0000,0000,,on the left hand side,\Nbecause it would have been
Dialogue: 0,0:00:56.68,0:00:58.68,Default,,0000,0000,0000,,7a/7 and a 4 over there.
Dialogue: 0,0:00:58.68,0:01:00.98,Default,,0000,0000,0000,,She would have said, oh,\Na must be equal to 4.
Dialogue: 0,0:01:00.98,0:01:02.23,Default,,0000,0000,0000,,So let's keep going.
Dialogue: 0,0:01:02.23,0:01:05.18,Default,,0000,0000,0000,,Let's do a few more of these.
Dialogue: 0,0:01:05.18,0:01:07.78,Default,,0000,0000,0000,,Trent tried to solve an\Nequation step by step.
Dialogue: 0,0:01:07.78,0:01:09.59,Default,,0000,0000,0000,,All right. Find Trent's mistake.
Dialogue: 0,0:01:09.59,0:01:11.10,Default,,0000,0000,0000,,So a lot of mistakes happening
Dialogue: 0,0:01:11.10,0:01:12.91,Default,,0000,0000,0000,,in algebra problems right now.
Dialogue: 0,0:01:12.91,0:01:16.51,Default,,0000,0000,0000,,So g/3 = 4/3.
Dialogue: 0,0:01:16.51,0:01:17.100,Default,,0000,0000,0000,,Now let's see. The first step.
Dialogue: 0,0:01:17.100,0:01:22.22,Default,,0000,0000,0000,,g/3 x 3, so he's multiplying\Nthe left hand side times 3
Dialogue: 0,0:01:22.22,0:01:27.01,Default,,0000,0000,0000,,and on the right hand side,\Nhe's multiplying by 1/3.
Dialogue: 0,0:01:27.01,0:01:29.40,Default,,0000,0000,0000,,So once again, he's doing\Ntwo different things
Dialogue: 0,0:01:29.40,0:01:30.93,Default,,0000,0000,0000,,to the left and the right hand side
Dialogue: 0,0:01:30.93,0:01:32.32,Default,,0000,0000,0000,,even though you're supposed\Nto do the same thing.
Dialogue: 0,0:01:32.32,0:01:34.67,Default,,0000,0000,0000,,If you do two different\Nthings, the equality
Dialogue: 0,0:01:34.67,0:01:37.55,Default,,0000,0000,0000,,will not hold anymore.
Dialogue: 0,0:01:37.55,0:01:38.92,Default,,0000,0000,0000,,Notice, if these two things are...
Dialogue: 0,0:01:38.92,0:01:42.59,Default,,0000,0000,0000,,If g/3 = 4, if you multiply this times 3
Dialogue: 0,0:01:42.59,0:01:45.63,Default,,0000,0000,0000,,and you only multiply this times 1/3,
Dialogue: 0,0:01:45.63,0:01:47.18,Default,,0000,0000,0000,,well then this thing is\Ngoing to become larger,
Dialogue: 0,0:01:47.18,0:01:49.13,Default,,0000,0000,0000,,because is you multiply by\N3 that's going to be larger
Dialogue: 0,0:01:49.13,0:01:51.92,Default,,0000,0000,0000,,if you take the same thing\Nand multiply it by 1/3.
Dialogue: 0,0:01:51.92,0:01:54.22,Default,,0000,0000,0000,,Then the equality won't hold true anymore.
Dialogue: 0,0:01:54.22,0:01:55.64,Default,,0000,0000,0000,,In order for it to hold true,\Nif you're going to multiply
Dialogue: 0,0:01:55.64,0:01:58.61,Default,,0000,0000,0000,,the left by 3 you have to\Nmultiply the right by 3.
Dialogue: 0,0:01:58.61,0:02:01.84,Default,,0000,0000,0000,,So he made a mistake on step 1.
Dialogue: 0,0:02:01.84,0:02:02.53,Default,,0000,0000,0000,,All right.
Dialogue: 0,0:02:02.53,0:02:04.99,Default,,0000,0000,0000,,Ling tried to solve an\Nequation step by step.
Dialogue: 0,0:02:04.99,0:02:07.01,Default,,0000,0000,0000,,All right. Find Ling's mistake.
Dialogue: 0,0:02:07.01,0:02:10.50,Default,,0000,0000,0000,,Let's see 12 = p + 6.2.
Dialogue: 0,0:02:10.50,0:02:12.79,Default,,0000,0000,0000,,All right. So now it looks like,
Dialogue: 0,0:02:12.79,0:02:17.55,Default,,0000,0000,0000,,on the left hand side Ling adds 6.2
Dialogue: 0,0:02:17.55,0:02:19.64,Default,,0000,0000,0000,,and on the right hand side, so there was
Dialogue: 0,0:02:19.64,0:02:21.59,Default,,0000,0000,0000,,p + 6.2 is the old right hand side,
Dialogue: 0,0:02:21.59,0:02:26.19,Default,,0000,0000,0000,,but it looks they then\Ntry to subtract 6.2.
Dialogue: 0,0:02:26.19,0:02:28.61,Default,,0000,0000,0000,,So it's the same number, but over here
Dialogue: 0,0:02:28.61,0:02:32.39,Default,,0000,0000,0000,,they're adding it and over\Nhere they're subtracting it.
Dialogue: 0,0:02:32.39,0:02:34.85,Default,,0000,0000,0000,,So they're not doing the\Nsame thing to both sides.
Dialogue: 0,0:02:34.85,0:02:36.69,Default,,0000,0000,0000,,If you want to add 6.2\Nto the left hand side
Dialogue: 0,0:02:36.69,0:02:38.85,Default,,0000,0000,0000,,you need to add 6.2 to\Nthe right hand side.
Dialogue: 0,0:02:38.85,0:02:40.98,Default,,0000,0000,0000,,If you want to subtract 6.2\Nfrom the right hand side
Dialogue: 0,0:02:40.98,0:02:44.65,Default,,0000,0000,0000,,you have to subtract 6.2\Nfrom the left hand side.
Dialogue: 0,0:02:44.65,0:02:47.65,Default,,0000,0000,0000,,So a lot of mistakes going on in step 1.
Dialogue: 0,0:02:47.65,0:02:51.36,Default,,0000,0000,0000,,Let me see one where there's\Nnot a mistake in step 1.
Dialogue: 0,0:02:51.36,0:02:52.03,Default,,0000,0000,0000,,All right.
Dialogue: 0,0:02:52.03,0:02:54.47,Default,,0000,0000,0000,,Alanna tried to solve an\Nequation step by step.
Dialogue: 0,0:02:54.47,0:02:59.47,Default,,0000,0000,0000,,4c = 12, divides the left hand side by 4
Dialogue: 0,0:03:00.25,0:03:02.53,Default,,0000,0000,0000,,and then multiplies the\Nright hand side by 4.
Dialogue: 0,0:03:02.53,0:03:04.62,Default,,0000,0000,0000,,No if you're going to divide\Nthe left hand side by 4
Dialogue: 0,0:03:04.62,0:03:06.99,Default,,0000,0000,0000,,you have to divide the right\Nhand side by 4 as well.
Dialogue: 0,0:03:06.99,0:03:08.43,Default,,0000,0000,0000,,You don't multiply it by 4.
Dialogue: 0,0:03:08.43,0:03:11.26,Default,,0000,0000,0000,,So a mistake in step 1.
Dialogue: 0,0:03:11.26,0:03:13.49,Default,,0000,0000,0000,,Let's do one more of these.
Dialogue: 0,0:03:13.49,0:03:18.41,Default,,0000,0000,0000,,All right. n + 12 = 18.3.
Dialogue: 0,0:03:18.41,0:03:20.43,Default,,0000,0000,0000,,So over here you had n + 12
Dialogue: 0,0:03:20.43,0:03:23.70,Default,,0000,0000,0000,,and then Rico subtracts 12.
Dialogue: 0,0:03:23.70,0:03:25.49,Default,,0000,0000,0000,,So if he subtracts 12\Nfrom the left hand side
Dialogue: 0,0:03:25.49,0:03:27.93,Default,,0000,0000,0000,,he needs to subtract 12\Nfrom the right hand side.
Dialogue: 0,0:03:27.93,0:03:28.93,Default,,0000,0000,0000,,It looks like he does that.
Dialogue: 0,0:03:28.93,0:03:30.100,Default,,0000,0000,0000,,He had 18.3 and he subtracts 12.
Dialogue: 0,0:03:30.100,0:03:33.74,Default,,0000,0000,0000,,So he subtracts 12 from both sides.
Dialogue: 0,0:03:33.74,0:03:37.85,Default,,0000,0000,0000,,So the left side is now\Nn + 12 - 12, was just n,
Dialogue: 0,0:03:37.85,0:03:39.47,Default,,0000,0000,0000,,which is why he subtracted 12,
Dialogue: 0,0:03:39.47,0:03:41.77,Default,,0000,0000,0000,,so you're just left with\Nan n on the left hand side,
Dialogue: 0,0:03:41.77,0:03:46.76,Default,,0000,0000,0000,,and on the right hand\Nside, let's see, 18.3 -12.
Dialogue: 0,0:03:46.76,0:03:51.34,Default,,0000,0000,0000,,Well 18 - 12 is 6, so this should be 6.3.
Dialogue: 0,0:03:51.34,0:03:53.54,Default,,0000,0000,0000,,So he made a little bit\Nof an arithmetic mistake
Dialogue: 0,0:03:53.54,0:03:58.54,Default,,0000,0000,0000,,in step, he made an arithmetic mistake
Dialogue: 0,0:03:58.67,0:04:03.67,Default,,0000,0000,0000,,and I think we are all done.