Absolute Value Word Problems Homework

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Name: ______________________
Class: _____
Date: ______________
Absolute Value Word Problems Homework
Answer all questions fully.
1. The flow rate on the Otter River Run can vary up to 90 gallons per minute from the
target flow rate of 640 gallons per minute.
a. Write an absolute value equation to show the extreme values of the flow rate
on the Otter River Run.
b. Solve the inequality you wrote. Graph your solutions
c. Interpret your solutions in the context of the problem.
2. At a warehouse that makes locks, the thickness of each key can be up to .25 mm off
from the ideal thickness of 7.4 mm. If it is more than that, the key won’t fit in the lock.
a. Write an absolute value equation to show the extreme widths of the keys.
b. Solve the inequality you wrote. Graph the solutions.
c. Interpret your solutions in the context of the problem.
Name: ______________________
Class: _____
Date: ______________
3. In order for a ring to be considered a size 9, it must have a diameter of 18.94 mm.
When making rings, an increase or decrease of .2 mm changes the size of the ring by ¼
of a size.
a. Write an absolute value equation to show the extreme acceptable values of a
size 9 ring.
b. Solve the inequality you wrote. Graph the solutions.
c. Interpret your solutions in the context of the problem.
4. While making bread, a company ideally puts in 4 Tbsp of yeast. If they err more than
.25 Tbsp, then the bread will not rise properly.
a. Write an absolute value equation to show the extreme acceptable amounts of
yeast the company can put in their bread without ruining it.
b. Solve the inequality you wrote. Graph the solutions.
c. Interpret your solutions in the context of the problem.
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