5
QuizMultiple Choice

Solving Absolute Value Equations

Question 5 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?

Answer
A
|x – 112| = 0
B
|x – 112| = 4
C
|4 – 112| = x
D
|112 – 4| = x

Explanation

The distance between Sharon’s block, 112, and a possible block number, x, is represented by |x − 112|. The turtle’s farthest distance is 4 blocks, so set that distance equal to 4: |x − 112| = 4. This is choice B, “|x − 112| = 4.”

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