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Given the following equation, what is x?)
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ACT Aspire Math: Placing the Solution to an Expression on a Number Line 2 Views
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Description:
Consider the equation
.
Indicate the location of x on the number line shown. Assume that all points on the number line are equidistant.
Transcript
- 00:03
Okay Aspiring math people Next up A drill for you
- 00:06
Here we go Consider the equation Three fourths minus one
- 00:09
twelfth equals acts Indicates location of exxon The number line
- 00:13
shown Assume that all points on the number line are
- 00:15
equal distant All right well let's think about this first
Full Transcript
- 00:22
step here's just solve the expression in the problem the
- 00:24
lowest common denominator here is twelve right so it's going
- 00:28
to be nine twelve minus one twelve and that gets
- 00:32
us eight twelves and eight twelves is what is that
- 00:35
we can take out fours from there we've got two
- 00:37
fours up here and three fours down there so it's
- 00:40
two thirds all right so that's our most reduced number
- 00:44
here now where do we put it on this number
- 00:46
line equal distant thing well all this is great and
- 00:49
everything but we've got to find out what the letter
- 00:51
something the number line actually represent their seven total marks
- 00:54
here counting five letters and the zero and the one
- 00:57
there which gives us six inter spaces yeah that would
- 01:00
be the distance between zero and a right there for
- 01:03
example what were told that the points are equal distance
- 01:06
so each inter space represents one sixth so why don't
- 01:10
we just rewrite everything with our fancy new actual numbers
- 01:14
instead of just hash marks but wait none of these
- 01:17
looks like two thirds luckily fractions are malleable and we
- 01:21
confined an equivalent fraction that had six in the denominator
- 01:24
We've got four six right We just multiplied by two
- 01:26
over to for the two thirds Ever get a six
- 01:28
and a bottom wealth four six is located right here
- 01:32
One two three four It's the same tick Mark is
- 01:34
the 1 labeled d in the original diagram So that's 00:01:38.311 --> [endTime] our answer Yeah Answers ia's in We're done
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