Absolute Value Inequalities Word Problems
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is an absolute value inequality?
Back
An absolute value inequality is an inequality that involves the absolute value of a variable, expressing the distance of that variable from a certain value.
2.
FLASHCARD QUESTION
Front
How do you express a range of values using absolute value?
Back
A range of values can be expressed using absolute value as |x - a| ≤ b, where 'a' is the central value and 'b' is the allowable distance from 'a'.
3.
FLASHCARD QUESTION
Front
What does the equation |v - 20| = 0.03 represent?
Back
It represents that the volume 'v' of a bottle is within 0.03 ounces of 20 ounces.
4.
FLASHCARD QUESTION
Front
What is the solution to the inequality |w - 213| ≤ 5?
Back
The solution is 208 ≤ w ≤ 218, meaning the weight of the box must be between 208 grams and 218 grams.
5.
FLASHCARD QUESTION
Front
What does the equation |W - 25| ≤ 0.5 signify in a street width problem?
Back
It signifies that the width 'W' of the street must be within 0.5 feet of 25 feet.
6.
FLASHCARD QUESTION
Front
How do you find the maximum and minimum values from an absolute value equation?
Back
To find the maximum and minimum values, solve the equation |x - a| = b to get x = a + b and x = a - b.
7.
FLASHCARD QUESTION
Front
What is the meaning of the equation |x - 300| = 25 in the context of temperature?
Back
It means that the temperature 'x' for roasting cocoa beans can vary 25 degrees above or below 300 degrees Fahrenheit.
Tags
CCSS.HSA.CED.A.3
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