48 minutes, 60 minutes, and 75 minutes.
Rate × Time = Distance, thus
= Time.
The race times range from a maximum time of
= 1.25 hours
= 75 minutes for the slowest runner to a minimum time of
=
about 0.71429 hours = about 42.86 minutes for the fastest runner. All answers
between (and including) 42.86 minutes and 75 minutes are correct.
Chapter 8
Algebra
In This Chapter…
Algebra
Algebra Answers
Algebra
For questions in the Quantitative Comparison format (“Quantity A” and “Quantity B” given), the
answer choices are always as follows:
(A)
Quantity A is greater.
(B)
Quantity B is greater.
(C)
The two quantities are equal.
(D)
The relationship cannot be determined from the information given.
Where answer choices do not appear on Quantitative Comparison questions in this book, you should
choose A, B, C or D based on the above.
For questions followed by a numeric entry box
, you are to enter your own answer in the
box. For questions followed by a fraction-style numeric entry box
, you are to enter
your answer in the form of a fraction. You are not required to reduce fractions. For example, if the
answer is
, you may enter
or any equivalent fraction.
All numbers used are real numbers. All figures are assumed to lie in a plane unless otherwise
indicated. Geometric figures are not necessarily drawn to scale. You should assume, however, that
lines that appear to be straight are actually straight, points on a line are in the order shown, and all
geometric objects are in the relative positions shown. Coordinate systems, such as
xy
-planes and
number lines, as well as graphical data presentations, such as bar charts, circle graphs, and line
graphs,
are
drawn to scale. A symbol that appears more than once in a question has the same meaning
throughout the question.
1. If 4(–3
x
– 8) = 8(–
x
+ 9), what is the value of
x
2
?
2. If 2
x
(4 – 6) = –2
x
+ 12, what is the value of
x
?
3. If
x
≠ 0 and
= –6, what is the value of
x
?
4. If
x
≠ 2 and
= 17, what is the value of
x
?
–5 is 7 more than –z.
5.
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