ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Factoring Videos 19 videos
ACT Math Intermediate Algebra Drill 1, Problem 4. Solve for x based on the equation.
SAT Math 8.5 Algebra and Functions 214 Views
Share It!
Description:
SAT Math 8.5 Algebra and Functions
Transcript
- 00:02
Buckle up! It's question time.
- 00:05
When you square a certain number, the result is equal to ten times the number plus the number again.
- 00:11
What is the number?
- 00:14
Another equation given to us in words that we have to translate to numbers…
- 00:18
Let’s call the number we’re looking for x.
Full Transcript
- 00:21
Squaring x gives us x squared… …which equals ten times the number…
- 00:25
10x…plus the number again…so PLUS x.
- 00:30
We can write this as the equation x squared equals 11x.
- 00:34
What number squared equals 11 times that number?
- 00:39
We can solve the problem with a little logic. Well…it must be 11…
- 00:42
See how it works. 11 times 11 is 121. 11 squared is 121 and they equal each other.
- 00:49
If we weren’t sure though, x squared is the same as x times x…
- 00:53
…so we can simply divide x from both sides. The correct answer is 11 and we're done!
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...