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Basic Algebra Videos 43 videos
ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?
ACT Math: Pre-Algebra Drill 2, Problem 4. Which of the following numbers is largest?
SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?
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?
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.
Full Transcript
- 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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