Ch 8 TEST Solving Absolute Value Equations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an absolute value equation?
Back
An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.
2.
FLASHCARD QUESTION
Front
How do you solve the equation |x| = a?
Back
To solve |x| = a, you set up two equations: x = a and x = -a.
3.
FLASHCARD QUESTION
Front
What does the equation |5x| = 40 represent?
Back
It represents two equations: 5x = 40 and 5x = -40, leading to solutions x = 8 and x = -8.
4.
FLASHCARD QUESTION
Front
What is the solution set for |2x - 1| = 9?
Back
The solution set is x = 5 and x = -4.
5.
FLASHCARD QUESTION
Front
How do you interpret the inequality |x| < a?
Back
The inequality |x| < a means that x is between -a and a, or -a < x < a.
6.
FLASHCARD QUESTION
Front
What is a compound inequality?
Back
A compound inequality combines two inequalities, often using 'and' (conjunction) or 'or' (disjunction).
7.
FLASHCARD QUESTION
Front
What does the inequality |4k + 12| ≥ 6 mean?
Back
It means that 4k + 12 is either greater than or equal to 6 or less than or equal to -6.
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