Question
11. Simplify. \( 6-(3+2 \cdot 5)+(-3)^{2} \) \( \begin{array}{ll}\text { A. }-15 & \text { B. } 2 \\ \text { C. } 28 & \text { D. } 34\end{array} \)
Ask by Johnston Watkins. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified value of the expression is 2.
Solution
To simplify the expression \( 6 - (3 + 2 \cdot 5) + (-3)^{2} \), follow the order of operations (PEMDAS/BODMAS):
1. **Parentheses/Brackets**:
\[
3 + 2 \cdot 5
\]
- First, perform the multiplication:
\[
2 \cdot 5 = 10
\]
- Then, add:
\[
3 + 10 = 13
\]
2. **Substitute back into the expression**:
\[
6 - 13 + (-3)^{2}
\]
3. **Exponents**:
\[
(-3)^{2} = (-3) \times (-3) = 9
\]
4. **Perform the remaining operations**:
\[
6 - 13 + 9
\]
- Subtract:
\[
6 - 13 = -7
\]
- Add:
\[
-7 + 9 = 2
\]
So, the simplified value of the expression is **2**.
**Answer:** B. 2
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
Let's break it down step by step: 1. First, calculate the multiplication: \( 2 \cdot 5 = 10 \). 2. Then, substitute it back into the expression: \( 6 - (3 + 10) + (-3)^2 \). 3. Now, simplify inside the parentheses: \( 3 + 10 = 13 \). 4. The expression now looks like \( 6 - 13 + (-3)^2 \). 5. Calculate \( (-3)^2 = 9 \). 6. Now the expression is \( 6 - 13 + 9 \). 7. Finally, perform the operations from left to right: \( 6 - 13 = -7 \), then \( -7 + 9 = 2 \). So, the simplified value is \( 2 \). The answer is **B. 2**.
