Question

Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7
.(1 point)
Responses

120
120

36
36

2,478
2,478

80

Answer 1

To simplify the expression \(8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7\), we need to use the order of operations (PEMDAS/BODMAS).

1. **Multiply and divide first:**
- \(7 \cdot 6 = 42\)
- \(3 \cdot 4 = 12\)
- \(6 \cdot 7 = 42\)

Now substitute these values back into the expression:

\[
8 + 42 - 12 + 42
\]

2. **Now, proceed with addition and subtraction from left to right:**
- First, calculate \(8 + 42 = 50\)
- Next, calculate \(50 - 12 = 38\)
- Finally, calculate \(38 + 42 = 80\)

Therefore, the simplified result is \(80\).

The correct response is **80**.