Absolute Value Word Problems
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of absolute value?
Back
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.
Tags
CCSS.6.NS.C.7C
2.
FLASHCARD QUESTION
Front
How do you solve an absolute value equation of the form |x - a| = b?
Back
To solve |x - a| = b, you set up two equations: x - a = b and x - a = -b, then solve for x.
3.
FLASHCARD QUESTION
Front
What does the equation |x + 1| = 5 represent?
Back
It represents two scenarios: x + 1 = 5 (x = 4) and x + 1 = -5 (x = -6).
4.
FLASHCARD QUESTION
Front
How can you express a range of values using absolute value?
Back
You can express a range of values as |x - a| = b, where 'a' is the center point and 'b' is the distance from 'a'.
5.
FLASHCARD QUESTION
Front
What is the significance of the equation |x - 300| = 25 in a real-world context?
Back
It describes the acceptable temperature range for roasting cocoa beans, indicating temperatures between 275°F and 325°F.
6.
FLASHCARD QUESTION
Front
How do you interpret the statement '50 dollars give or take 15' in terms of absolute value?
Back
It can be modeled as |x - 50| = 15, where x represents the actual amount of money.
Tags
CCSS.HSA.CED.A.3
7.
FLASHCARD QUESTION
Front
What is the solution set for the equation |x - 5.67| = 0.02?
Back
The solution set is {5.69, 5.65}, representing the acceptable weights of the quarters.
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