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NAME
DATE
2-5
PERIOD
Word Problem Practice
Solving Equations Involving Absolute Value
1. ENGINEERING Tolerance in engineering
is an allowance made for imperfections in
a manufactured object. The manufacturer
of an oven specifies a temperature
tolerance of ±15ºF. This means that the
temperature inside the oven will be
within 15ºF of the temperature that it
is set on. Write an absolute value
expression to represent the maximum
and minimum temperatures inside
the oven when the thermostat is set
on 400ºF.
t - 400 = 15
The Next Frontier for Flight
Finding new resources
for Earth
Flying faster
from one
continent
to another
Exploring other planets
in our solar system
for signs of life
21%
{-7, 3}
4. STATISTICS The most familiar
statistical measure is the arithmetic
mean, or average. A second important
statistical measure is the standard
deviation, which is a measure of how far
the individual scores are from the mean.
For example, the mean score on the
Wechsler IQ test is 100 and the standard
deviation is 15. This means that people
within one deviation of the mean have IQ
scores that are 15 points higher or lower
than the mean.
a. Write an absolute value equation to
find the maximum and minimum test
scores within one standard deviation
if the mean was 80 and the standard
deviation was 12.
t - 80 = 12
43%
10%
Scientific
experiments
in space
b. What is the range of Wechsler IQ test
scores ±3 standard deviations from
the mean?
26%
55 to 145
Source: The World Almanac
between 7,200,000 and 9,600,000
C06-03A-873949
Chapter 2
34
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2. AVIATION The circle graph shows the
results of a survey that asked 4300
students ages 7 to 18 what they thought
would be the most important benefit of
air travel in the future. There are about
40 million students in the United States.
If the margin of error is ±3%, what is the
range of the number of students ages 7 to
18 who would likely say that “finding
new resources for Earth” is the most
important benefit of future flight?
3. COLLEGE A certain scholarship and
student loan fund uses a formula to
determine whether or not a student
qualifies for college funding. The formula
is 3k + 6 = 15, where k is a need score
determined by an interview. What are
the possible need scores?