Absolute Value Equations

Flashcard
•
Mathematics
•
8th 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 denoted as |x|.
2.
FLASHCARD QUESTION
Front
How do you solve an absolute value equation?
Back
To solve an absolute value equation, set the expression inside the absolute value equal to both the positive and negative values of the other side of the equation.
3.
FLASHCARD QUESTION
Front
Solve for x: |x| = 5
Back
x = 5 or x = -5.
4.
FLASHCARD QUESTION
Front
What does it mean if an absolute value equation has no solution?
Back
It means that there is no value of the variable that can satisfy the equation, often because the absolute value cannot equal a negative number.
5.
FLASHCARD QUESTION
Front
Solve for x: |x - 3| = 7
Back
x = 10 or x = -4.
6.
FLASHCARD QUESTION
Front
What is the first step in solving |2x + 1| = 9?
Back
Set up two equations: 2x + 1 = 9 and 2x + 1 = -9.
7.
FLASHCARD QUESTION
Front
Solve for x: |3x + 2| = 0
Back
x = -2/3.
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