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ACT Math Videos 161 videos

ACT Math 3.1 Plane Geometry
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ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

ACT Math 1.3 Pre-Algebra
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ACT Math Pre-Algebra Drill 1, Problem 3. Can you find the product of two square roots?

ACT Math 2.2 Intermediate Algebra
471 Views

ACT Math Intermediate Algebra Drill 2, Problem 2. How else can the expression be written?

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ACT Math 2.2 Pre-Algebra 421 Views


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Description:

ACT Math Pre-Algebra: Drill 2, Problem 2. Solve for y.

Language:
English Language

Transcript

00:03

Here's a question you can really shmoop to...

00:07

Solve for y: 100 over y minus 16 equals 40. And here are the potential answers...

00:16

OK, what's this fine problem asking us to do?

00:18

Eh. It's a pretty vanilla test to see if we can handle a variable in the denominator.

00:24

So... first things first -- let's simplify a bit and add 16 to both sides... to get 100

00:30

over y equals 56.

00:33

Now let's get that twisted denominator y on top as a numerator, and multiply both sides

00:38

by y... to get 100y over y equals 56y.

00:43

Why? Because we said so.

00:45

So that's 100y on the left and 56y on the right

00:48

Divide both sides by 56 and we have y equals 100 over 56.

00:53

Now time to reduce. Thank you, Curves.

00:56

Both numbers are even, so we know we can divide by 2... which gives us 50 over 28.

01:01

Whoops... still even. So divide by 2 again and we have 25 over 14.

01:05

Boom. The answer is D.

01:07

As in, "Dangerous denominators."

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