NAME:_________________________________________________
Algebra 2/Trig –Solving Absolute Value Word Problems CLASSWORK
DATE:_________
PERIOD:_______
DO NOW: Review of Absolute Value Inequalities
What is the solution of the inequality
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ABSOLUTE VALUE INEQUALITY WORD PROBLEMS
Example: The temperature on Mars roughly satisfies the inequality |
Fahrenheit. What is the range of temperature on Mars?
 How do you know that your solution set will be an inequality?
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where t is the temperature in
Practice: The heights, h, of the students in the chorus at Central Middle School satisfy the inequality
h  57.5
 3.25, when h is measured in feet. Determine the interval in which these heights lie and express your
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answer to the nearest tenth of a foot.
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How do you know that your solution set will be an inequality?
WRITING AN ABSOLUTE VALUE INEQUALITY FROM A WORD PROBLEM
The absolute value |
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represents the set of all points x that are less than b units away from a.
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Examples: Write an inequality that represents the given information:
a) the temperature, t, in a room is less than 3° from 68°.
b) the average temperature, t, in a room is 70° and can differ no more than 6°.
Practice: At the Brooks Graphic Company, the average starting salary for a new graphic designer is
$37,600, but the actual salary could differ from the average by as much as $2590.
Write an absolute value inequality to describe this situation.
Solve the inequality to find the range of the starting salaries.
Practice: Last year’s senior class spent $23.95 for each prom favor. This year’s prom committee knows
that their prom favor must be no more than $5.50 of last year’s favor.
Write an absolute value inequality that could be used to model the acceptable price range for this year’s
prom favor. Then, solve the inequality to find the range of acceptable prices for a favor.