Question

Claire kept an important letter in a book she was reading. She remembers that she kept the letter 20 pages away from the 54th page of the book.
The following absolute value equation can be used to determine the page in the book where Claire kept the letter.

|x − 54| = 20

Here, x represents the page numbers of the book where Claire could have kept the letter.

Based on this information, which pages in the book may hold Claire's letter?

A.
Page 74 or page 108 of the book may hold Claire's letter.
B.
Page 20 or page 54 of the book may hold Claire's letter.
C.
Page 54 or page 74 of the book may hold Claire's letter.
D.
Page 34 or page 74 of the book may hold Claire's letter.

Answer 1

A
X-54=20
+54. +54
You add 54 to both sides
Then you end up with
X = 74

So the letter is on page 74.