Question

ms. maynard brought ( q ) math quizzes home to grade over the weekend. she could only grade 31 of the quizzes on saturday. so, she had 56 quizzes left to grade on sunday.
which diagram models the story?
diagram 1: a bar labeled ( q ) divided into two parts, 56 and 31
diagram 2: a bar labeled 56 divided into two parts, ( q ) and 31
which equation models the story?
( q - 31 = 56 ) ( q + 31 = 56 )

Explanation:

Diagram Model:

The total number of quizzes is \( q \). She graded 31 on Saturday and had 56 left. So the total \( q \) should be the sum of graded (31) and ungraded (56). The first diagram has \( q \) as the total, split into 56 (left) and 31 (graded), which matches. The second diagram has 56 as total, which is wrong.

Step1: Define total and parts

Total quizzes: \( q \). Graded: 31. Left: 56.

Step2: Relate total and parts

Total minus graded equals left: \( q - 31 = 56 \).

Answer:

The first diagram (with \( q \) as total, split into 56 and 31)

Equation Model: