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SAT Math 1.5 Algebra and Functions. If f (x) = x2 - 16 and g(x) = x4 - 256, what is f of x divided by g of x?
SAT Math 4.5 Numbers and Operations 203 Views
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Description:
SAT Math 4.5 Numbers and Operations
Transcript
- 00:02
And here's an unshmoopy question you may find on an exam somewhere in life...
- 00:05
When a certain positive number is divided by 5 the remainder is 1.
- 00:09
When it is divided by 8, the remainder is 4.
- 00:11
What is the smallest possible value of this number?
- 00:15
And here are the potential answers...
Full Transcript
- 00:20
The best way to find the answer is to just guess and check, using logic.
- 00:25
Since we want the smallest possible answer, let's start with the smallest answer choice
- 00:29
and work our way up until we find the right one.
- 00:31
We'll first start with Choice A first.
- 00:34
When divided by 5, 16 does leave a remainder of 1, but 16 is divisible by 8.
- 00:39
So Choice A gets the axe.
- 00:42
Time for Choice B's audition.
- 00:44
21 fits the first criterion, but when divided by 8, it has a remainder of 5.
- 00:50
Choice C is next. We see right away that 24 is a multiply of 8...
- 00:57
Now Choice D. 34 has a remainder of 4 when divided by 5
- 01:01
and a remainder of 2 when divided by 8.
- 01:03
Nope.
- 01:04
Now we only have one candidate left.
- 01:06
36 has a remainder of 1 when divided by 5 and a remainder of 4 when divided by 8.
- 01:12
Choice E is the correct answer.
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