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CAHSEE Math 2.5 Algebra and Functions 284 Views


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Description:

Algebra and Functions: Drill Set 2, Problem 5. Simplify the expression.

Language:
English Language

Transcript

00:03

And here's your shmoop du jour.

00:06

Simplify the expression 5x2 + 6y2 - 4x2 + y2.

00:12

And here are the potential answers...

00:15

Before we spoil the ending, hit pause and try to solve it yourself.

00:22

This question is testing whether we know how to add and subtract

00:25

elements of an equation with exponents.

00:29

This is what is usually referred to as "collecting like terms'...

00:33

...meaning, the coefficients of terms with the same variable and exponent are added.

00:41

The basic rule is that if they are of the same level of exponent --

00:44

i.e. taken to the same power, then... yeah. We can.

00:48

So in this equation we have 2 elements that are x squareds: 5x squared and negative 4x squared.

00:55

Combine them and we just have... x squared.

00:58

Same deal with y squared. We have 2 like elements:

01:01

one is 6y squared and the other is just plain old y squared.

01:05

These two add up to 7y squared.

01:08

The whole equation now simplifies to x squared plus 7y squared.

01:11

Answer: B. Finito.

01:13

Next time we come over, we look forward to seeing your new "like term" collection...

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