Question

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

Student Responses
Name

1.Michele

2.Piotr

3.Ronnie

4.Tanisha

Equation

1.3t=8
2.6t=8
3.-1t=8
4.9t=8



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

Answer 1

Tanisha the original equations answer is 9t=8

Answer 2

Tanisha wrote an equation that is same as Mrs. McAlister's equation.

9t = 8

Explanation:

Mrs. McAlister wrote an equation on the board is:

10t-4t+3t=8

Now we simplify this

In order to simplify the left side, we combine like terms.

Here 10t, -4t, & 3t are like terms

So, 10t - 4t + 3t is equivalent to 9t

Thus,

9t = 8

This equation is written by the Tanisha.

That's the final answer.

I hope it helps you.