Absolute Value Equations/Inequalities

Flashcard
•
Mathematics
•
9th - 11th Grade
•
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
What is the general form of an absolute value equation?
Back
An absolute value equation is typically written as |x| = a, where a is a non-negative number.
3.
FLASHCARD QUESTION
Front
What are the possible solutions for the equation |x| = a?
Back
The solutions are x = a and x = -a.
4.
FLASHCARD QUESTION
Front
What is the graph of the absolute value function y = |x|?
Back
The graph is a V-shaped graph that opens upwards, with the vertex at the origin (0,0).
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you solve the equation |x - 3| = 5?
Back
Split into two cases: x - 3 = 5 and x - 3 = -5. Solutions are x = 8 and x = -2.
6.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = |x|?
Back
The range is [0, infinity) because absolute values cannot be negative.
7.
FLASHCARD QUESTION
Front
What is the domain of the absolute value function?
Back
The domain of the absolute value function is (-infinity, infinity).
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