Question

Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The table below shows the responses from four students.

Student Responses
Name
Equation
Michele
3 t = 8
Piotr
6 t = 8
Ronnie
Negative 1 t = 8
Tanisha
9 t = 8

Which student wrote an equation that is equivalent to Mrs. McAlister’s?
Michele
Piotr
Ronnie
Tanisha

Answer 1

Tanisha.

Combine like terms: 10t − 4t + 3t = (10 − 4 + 3)t = 9t, so the equivalent equation is 9t = 8.