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CAHSEE Math 2.3 Algebra I 200 Views


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Description:

Algebra I Drill 2, Problem 3. Which of the following is the same as the expression?

Language:
English Language

Transcript

00:03

Here’s an unshmoopy question you’ll find on an exam somewhere in life.

00:08

Which of the following is the same as x plus 1 over 2… plus 3x over 5… equals 7/10?

00:15

And here are the potential answers…

00:21

So… what is this question asking?

00:24

Can we simplify? Ask Henry David Thoreau.

00:30

The fact that the 2 and the 5 in the first two denominators can be multiplied

00:34

to get 10 should jump right out at us…

00:37

Ok, so let’s start multiplying the top and bottom of the first term by 5…

00:42

and we get 5x+5 over 10.

00:45

Then the next term top and bottom get multiplied by 2… and we get 6x over 10.

00:51

And finally… leave 7 over 10 as is. We’ve already got what we want on the bottom.

00:55

Now multiply both sides by 10 to eliminate the denominators altogether…

01:01

and we get 11x + 5 is 7.

01:04

Answer B.

01:05

As in, “Boxer shorts.”

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