Question

23 error analysis susie simplified the following expression. -2x + 5(3x - 4)+6 -2x + 15x + 20 + 6 13x + 26 what is susies error? explain how to correctly simplify the expression. what is the correct answer?

Explanation:

Step1: Identify Susie's error

Susie made a sign - error when distributing 5. When distributing 5 in 5(3x - 4), it should be 15x-20, not 15x + 20.

Step2: Correctly distribute

Distribute 5 in 5(3x - 4) to get -2x+15x - 20+6.

Step3: Combine like - terms

Combine the x - terms (-2x+15x) and the constant terms (-20 + 6). (-2x+15x)=13x and (-20 + 6)=-14. So the simplified expression is 13x-14.

Answer:

Susie's error is a sign - error in distribution. The correct way to simplify is to first distribute 5 to get -2x + 15x-20 + 6, then combine like - terms to get 13x-14. The correct answer is 13x-14.