Absolute Value Test

Flashcard
•
Mathematics
•
10th 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 equation of the form |A| = B, you set up two cases: A = B and A = -B, then solve for the variable.
3.
FLASHCARD QUESTION
Front
What is the solution to the equation |x - 3| = 5?
Back
x = 8 or x = -2.
4.
FLASHCARD QUESTION
Front
What does the equation |v + 8| - 5 = 2 represent?
Back
It represents the absolute value of (v + 8) being equal to 7, leading to two cases: v + 8 = 7 and v + 8 = -7.
5.
FLASHCARD QUESTION
Front
Solve the equation: |2x + 9| = 15.
Back
x = 3 or x = -12.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 6|1 - 5x| - 9 = 57?
Back
Add 9 to both sides to isolate the absolute value: 6|1 - 5x| = 66.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation |n + 2| = 4?
Back
n = 2 or n = -6.
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