Absolute Value Equations

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•
Mathematics
•
9th Grade
•
Hard
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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|.
2.
FLASHCARD QUESTION
Front
How do you solve an absolute value equation?
Back
To solve an absolute value equation, isolate the absolute value expression and then set up two separate equations: one for the positive case and one for the negative case.
3.
FLASHCARD QUESTION
Front
Solve for x: |x - 4| = 5
Back
x = 9 and x = -1.
4.
FLASHCARD QUESTION
Front
What does the equation |a| = b imply?
Back
It implies that a = b or a = -b, where b is a non-negative number.
5.
FLASHCARD QUESTION
Front
Solve for x: 2|x - 3| + 4 = 12
Back
x = 7 and x = -1.
6.
FLASHCARD QUESTION
Front
What is the first step in solving |x + 2| = 6?
Back
Isolate the absolute value: |x + 2| = 6.
7.
FLASHCARD QUESTION
Front
Solve for x: |3x + 1| = 4
Back
x = 1 and x = -rac{5}{3}.
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