Mrs. McAlister wrote the equation 10t−4t+3t=8 on the board and asked students to write an equivalent equation. The table shows the responses from four students. Student Responses Name Equation Michele 3 t is equal to 8 Piotr 6 t is equal to 8 Ronnie negative 1 t is equal to 8 Tanisha 9 t is equal to 8 Which student wrote an equation that is equivalent to Mrs. McAlister’s?
Combine the like terms on the left: 10t − 4t + 3t = (10 − 4 + 3)t = 9t. So the equivalent equation is 9t = 8, which is Tanisha’s equation. Michele’s, Piotr’s, and Ronnie’s coefficients do not simplify to 9.
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