74260
AssignmentMultiple Choice

Solving Absolute Value Equations

Question 74260 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th block of the town, which absolute value equation can be used to determine the farthest block to which Jamaal is allowed to walk?

Answer
A
|x – 57| = 0
B
|57 – 3| = x
C
|3 – 57| = x
D
|x – 57| = 3

Explanation

The distance between Jamaal’s house at block 57 and a block numbered x is |x − 57|. At the farthest allowed blocks, that distance is 3, so the equation is |x − 57| = 3. Choice D correctly represents this distance; the equation gives blocks 54 and 60.

AI-written and checked against the verified answer.

Previous
Next