Absolute value equation FLASHCARD per 6

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Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the absolute value of a number?
Back
The absolute value of a number is its distance from zero on the number line, always expressed as a positive value.
2.
FLASHCARD QUESTION
Front
Solve the equation: 5|x| - 8 = 2
Back
x = 2, x = -2
3.
FLASHCARD QUESTION
Front
Evaluate the expression: |x + 9| = -5
Back
No solution, because absolute values cannot be negative.
4.
FLASHCARD QUESTION
Front
Solve the equation: |x – 12| - 3 = 11
Back
x = 26, x = -2
5.
FLASHCARD QUESTION
Front
Why is absolute value always positive?
Back
Absolute value measures distance from zero, and distance is always a positive quantity.
6.
FLASHCARD QUESTION
Front
What does the equation |v + 8| − 5 = 2 represent?
Back
It represents two possible equations: v + 8 = 7 and v + 8 = -7, leading to solutions v = -1 and v = -15.
7.
FLASHCARD QUESTION
Front
If |x| = a, what can we conclude about x?
Back
x can be either a or -a.
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