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Absolute Value Videos 12 videos
Check out this video to learn more about absolute value and how it has no patience for negative signs.
We love doing absolute value problems because it means spending time with our good buddy, the number line. But don’t think we’ve forgotten abou...
The easy way to remember the look of an absolute value graph is that they are always a V-shape... and “V” stands for value. Or for verisimilitu...
SAT Math 1.3 Numbers and Operations 190 Views
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Description:
SAT Math 1.3 Numbers and Operations. x and y must be which of the following?
Transcript
- 00:02
Put this in your calculator and shmoop it.
- 00:06
If the absolute of x plus y equals the absolute
- 00:08
value of x plus the absolute value of y, then x and y must be which of the following?
- 00:14
I. Positive II. Negative
- 00:15
III. One positive and one negative Here are the potential answers...
Full Transcript
- 00:23
Alright, we have one of those multiple part questions where we have to test choices I, II, and III.
- 00:27
Whenever we see those straight vertical lines,
- 00:30
also known as the absolute value sign. We know the answer that comes out of those
- 00:33
lines will always, always be positive. So, let's test each case by plugging in numbers for x and y.
- 00:40
Case I: Both x and y are positive.
- 00:44
If x = 5 and y = 5, the absolute value of 5 + 5 = 10, and the absolute value of 5 plus
- 00:51
the absolute value of 5 is also 10. Check, this one works.
- 00:55
Case II: Both x and y are negative.
- 00:58
If x = -5 and y = -5, then the absolute value of negative 5 plus negative 5 = 10, and the
- 01:05
absolute value of negative 5 plus the absolute value of negative 5 equals 10. Check.
- 01:10
Case III: x and y are opposite signs.
- 01:14
If x = 5 and y = -5. The absolute value of 5 plus negative 5 equals zero.
- 01:22
and the absolute value of 5 plus the absolute value of negative 5 equals 10.
- 01:27
Ehh, this one's a no-go.
- 01:30
Only cases I and II make the original premise true, so (D) is the correct answer.
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