Absolute Value Equations and Inequalities

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 denoted as |x|.
2.
FLASHCARD QUESTION
Front
What does it mean when an absolute value equation has no solution?
Back
An absolute value equation has no solution when the expression inside the absolute value cannot equal a negative number.
3.
FLASHCARD QUESTION
Front
Solve for x: |6 - 2x| = -5.
Back
No solution.
4.
FLASHCARD QUESTION
Front
What is the general form of an absolute value equation?
Back
The general form is |A| = B, where A is an expression and B is a non-negative number.
5.
FLASHCARD QUESTION
Front
How do you solve an absolute value equation?
Back
To solve |A| = B, set up two equations: A = B and A = -B.
6.
FLASHCARD QUESTION
Front
Solve for x: |2x - 3| + 5 = 10.
Back
x = -1 or x = 4.
7.
FLASHCARD QUESTION
Front
What is an absolute value inequality?
Back
An absolute value inequality expresses a range of values that satisfy the condition of being within a certain distance from a point.
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