Question

which equation matches this situation?
there are 7 students at tutoring. the teacher assigned each of them the same number of problems to complete. then he assigned each student 4 more problems. 56 problems were assigned in all.
image of a bar model with 7 parts labeled x+4 and total 56
options: 4x + 7 = 56, 7(x + 4) = 56, 7x + 4 = 56

Explanation:

Step1: Analyze the problem

There are 7 students, and each student is assigned \( x \) problems initially, then 4 more. So each student has \( x + 4 \) problems.

Step2: Total problems equation

Since there are 7 students, the total number of problems is 7 times the number of problems per student, which is \( 7(x + 4) \). And the total problems are 56, so the equation is \( 7(x + 4)=56 \).

Answer:

\( 7(x + 4)=56 \) (the middle option: \( 7(x + 4)=56 \))