Absolute Value Equations and Inequalities
Flashcard
•
Mathematics
•
2nd Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is absolute value?
Back
The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-3| = 3 and |3| = 3.
2.
FLASHCARD QUESTION
Front
How do you solve an absolute value equation like |x| = a?
Back
To solve |x| = a, you set up two equations: x = a and x = -a.
3.
FLASHCARD QUESTION
Front
What does it mean when |x| < a?
Back
It means that x is within a distance of a from zero. This can be expressed as -a < x < a.
4.
FLASHCARD QUESTION
Front
What does it mean when |x| > a?
Back
It means that x is more than a distance of a from zero. This can be expressed as x < -a or x > a.
5.
FLASHCARD QUESTION
Front
Solve the equation |x - 4| = 2.
Back
x - 4 = 2 or x - 4 = -2. So, x = 6 or x = 2.
6.
FLASHCARD QUESTION
Front
What is the solution to |x + 3| < 5?
Back
-5 < x + 3 < 5, which simplifies to -8 < x < 2.
7.
FLASHCARD QUESTION
Front
What is the solution to |2x - 1| ≥ 3?
Back
2x - 1 ≥ 3 or 2x - 1 ≤ -3. So, x ≥ 2 or x ≤ -1.
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