Solving Absolute Value Equations Answers

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Which number line represents the solutions to |–2x| = 4?

A
A number line from negative 10 to 10 in increments of 2. Two points, one at negative 4 and one at 2.
Option A
B
A number line from negative 10 to 10 in increments of 2. Two points, one at negative 2 and one at 4.
Option B
C
A number line from negative 10 to 10 in increments of 2. Two points, one at negative 2 and one at 2.
Option C
D
A number line from negative 10 to 10 in increments of 2. Two points, one at negative 8 and one at 8.
Option D
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For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

A
|323 – 50| = x
B
|323 + 50| = x
C
|x – 323| = 50
D
|x + 323| = 50
23

Which equation has no solution?

A
|–x – 3| = 5
B
|2x – 1| = 0
C
|5 – 3x| = –8
D
|–x + 9| = 0
24

Which equation has only one solution?

A
|x – 5| = –1
B
|–6 – 2x| = 8
C
|5x + 10| = 10
D
|–6x + 3| = 0

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