Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Question

Simplify the expression 82+9(12÷3⋅2)−7.
Explain each of your steps.

(5 points)

Answer 1

To simplify the expression 82 + 9(12 ÷ 3 ⋅ 2) − 7, we first need to evaluate the parentheses.

Inside the parentheses, we have 12 ÷ 3 ⋅ 2. To solve this, we perform the division first: 12 ÷ 3 = 4.

Now we have 4 ⋅ 2 = 8.

Substituting this back into the expression, we have 82 + 9(8) − 7.

Next, we need to perform the multiplication: 9(8) = 72.

Substituting this back into the expression, we have 82 + 72 − 7.

Finally, we can add and subtract: 82 + 72 = 154.

Substituting this back into the expression, we have 154 − 7.

Therefore, the simplified expression is 147.