Question

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?

|x – 57| = 0
|57 – 3| = x
|3 – 57| = x
|x – 57| = 3

Answer 1

|x – 57| = 3

Explanation:

let x be the farthest block to which Jamaal is allowed to walk.

the statement “Jamaal is allowed to walk

no farther than three blocks in either direction from his house.”

means

the distance between the 57th block and the farthest block = 3

means

|x – 57| = 3

Answer 2

|x – 57| = 3

Explanation:

let x be the farthest block to which Jamaal is allowed to walk.

the statement “Jamaal is allowed to walk

no farther than three blocks in either direction from his house.”

means

the distance between the 57th block and the farthest block = 3

means

|x – 57| = 3