Question

Write an equation for the story using x as the variable.

Five students came for after-school tutoring. Lin's teacher assigned each of them the same number of problems to complete. Then she assigned 2 more problems to one of the students. 27 problems were assigned in all.

Equation=??
X=??

Answer 1

x = 5 (Amount of problems each student got equally)

Equation - "5x + 2 =27"

Working out:

The story focuses on the problems, so the equation will link to the output of the problem.

The story starts with 5 students, so 5 will be a coefficient of x.

The story has a total of 27 problems given to the 5 students, so this will be solving a linear equation.

There are +2 problems added individually to a student, so this will be a constant itself.

Putting all this together gives us:

5x + 2 = 27

x = Number of problems each student got equally.

Solving it:

5x + 2 =27

5x = 25

x = 5

Each student got 5 problems equally, and one individual student got 2 extra (wohoo).

Hope this has helped! ^^