Absolute Value Equations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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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 always a non-negative value.
2.
FLASHCARD QUESTION
Front
How many solutions does the equation |x| = a have when a > 0?
Back
Two solutions: x = a and x = -a.
3.
FLASHCARD QUESTION
Front
What is the solution to the equation |x| = 0?
Back
The solution is x = 0.
4.
FLASHCARD QUESTION
Front
Solve the absolute value equation: |x - 4| = 5.
Back
x = 9 and x = -1.
5.
FLASHCARD QUESTION
Front
What does the equation |x + 2| = 3 represent?
Back
It represents two equations: x + 2 = 3 and x + 2 = -3.
6.
FLASHCARD QUESTION
Front
Solve for x: |3x| = 12.
Back
x = 4 and x = -4.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation |x - 1| = 0?
Back
The solution is x = 1.
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