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Math II Videos 98 videos

Independent and Dependent Events
7802 Views

This video covers both independent and dependent events, although we much prefer independent events. Dependent events are just so dang clingy.

Disjoint and Overlapping Events
18804 Views

Disjoint events are events that cannot happen at the same time. If one happens, the other doesn't. Simple as that. Overlapping events, on the other...

SAT Math 1.1 Numbers and Operations
359 Views

SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?

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The Classic: Solve for X 428 Views


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Description:

ACT Math: Pre-Algebra Drill 7, Problem 3. Solve for x.

Language:
English Language

Transcript

00:03

Do you hear the people shmoop...shmooping the math of angry men...

00:08

Solve for x: 2 times the quantity 3x plus 2x minus 5 minus the quantity 6x plus 1 equals 1.

00:14

And here are the potential answers...

00:21

OK so what is this question asking?

00:27

It's just a big fat distribution and simplification problem.

00:30

Let's start by dieting down the parentheses with respect to our friend Mr. PEMDAS.

00:37

Multiply across the 2 here and we get 2 times 3x is 6x.

00:41

2 times 2x is 4x and 2 times negative 5 is negative 10...

00:47

...then just keep going to get rid of the 2nd set of parentheses by allocating the negative

00:51

sign to get negative 6x minus 1.

00:54

And the rewritten problem looks like this:

00:58

Now we just combine terms. The 6x's cancel each other out, so just cross 'em off... and

01:02

we have 4x minus 11 equals 1.

01:04

Add 11 to both sides and we have 4x equals 12. Divide both sides by 4 and we have x equals...3.

01:12

Answer: D.

01:13

As in, 'Diet shakes.'

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