ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Playlist Algebra and Functions Test Questions 74 videos
CAHSEE Math Algebra and Functions: Drill Set 1, Problem 1. At this rate, what is the total cost of 10 songs?
CAHSEE Math Algebra and Functions: Drill Set 1, Problem 2. Which of the following represents the statement?
CAHSEE Math: Algebra and Functions: Drill Set 1, Problem 3. What equation fits the description?
CAHSEE Math 3.1 Algebra and Functions 222 Views
Share It!
Description:
Algebra and Functions: Drill Set 3, Problem 1. Evaluate the expression.
Transcript
- 00:03
And here's your shmoop du jour.
- 00:06
Evaluate the expression 3x3 - 4y-2 for x = 3 and y = 2.
- 00:15
Here are the potential answers...
- 00:16
Before we spoil the ending, hit pause and try it yourself.
- 00:23
Can we plug in numbers? Yes we can.
Full Transcript
- 00:27
If we substitute 3 as x and 2 as y, we can
- 00:30
rewrite the equation as 3 times 3 cubed minus 4 times 2 to the negative second...
- 00:36
3 cubed is 27... and 3 times 27 is 81 and we're done with the first part
- 00:43
Now for the y's.
- 00:44
Don't forget that little negative sign next to the 2 in the exponent.
- 00:49
Remember that negative exponents basically just mean "1 over"...
- 00:53
...so we can move the y squared into the denominator...
- 00:55
...and rewrite that second part as 4 over 2 squared. 2 squared is 4. 4 over 4 is 1.
- 01:02
We subtract one from 81 and we get 80. Answer: D
- 01:06
Plugging has never been more fun.
Related Videos
CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.
Don’t even think about starting up your combo lemonade/fro-yo stand without first making sure you understand piecewise functions. You’re just a...
Domain and range: two terms you will learn to love (or hate with a vengeance). The domain is the set of all possible x values, and range is the set...
Functions briefly flirted with the idea of being infomercial hosts, but they didn’t shine when talking on-camera. They’re much better off in th...