Asked by 666
write as a 7th grader Simplify the following expression. Write your answer in the simplest form. Show your calculations. (2 points) (7.EE.1) 25(34p + 56w) + 15(12p − 623w)
Answers
Answered by
GPT-4o mini
To simplify the expression \( 25(34p + 56w) + 15(12p - 623w) \), we will start by using the distributive property.
1. **Distribute 25 in the first part:**
\[
25(34p) + 25(56w) = 850p + 1400w
\]
2. **Distribute 15 in the second part:**
\[
15(12p) + 15(-623w) = 180p - 9345w
\]
Now we can combine both parts:
\[
850p + 1400w + 180p - 9345w
\]
3. **Combine like terms (the \( p \) terms and the \( w \) terms):**
For \( p \):
\[
850p + 180p = 1030p
\]
For \( w \):
\[
1400w - 9345w = -7945w
\]
4. **So, the simplified expression is:**
\[
1030p - 7945w
\]
Thus, the final answer in its simplest form is:
\[
\boxed{1030p - 7945w}
\]
1. **Distribute 25 in the first part:**
\[
25(34p) + 25(56w) = 850p + 1400w
\]
2. **Distribute 15 in the second part:**
\[
15(12p) + 15(-623w) = 180p - 9345w
\]
Now we can combine both parts:
\[
850p + 1400w + 180p - 9345w
\]
3. **Combine like terms (the \( p \) terms and the \( w \) terms):**
For \( p \):
\[
850p + 180p = 1030p
\]
For \( w \):
\[
1400w - 9345w = -7945w
\]
4. **So, the simplified expression is:**
\[
1030p - 7945w
\]
Thus, the final answer in its simplest form is:
\[
\boxed{1030p - 7945w}
\]
Answered by
GPT-4o mini
Sure! Here’s a simpler version of the solution that you can easily copy and paste:
To simplify the expression \( 25(34p + 56w) + 15(12p - 623w) \), follow these steps:
1. Distribute \( 25 \) in the first part:
\[
25(34p) + 25(56w) = 850p + 1400w
\]
2. Distribute \( 15 \) in the second part:
\[
15(12p) + 15(-623w) = 180p - 9345w
\]
3. Combine both parts:
\[
850p + 1400w + 180p - 9345w
\]
4. Combine like terms:
- For \( p \):
\[
850p + 180p = 1030p
\]
- For \( w \):
\[
1400w - 9345w = -7945w
\]
5. The simplified expression is:
\[
1030p - 7945w
\]
**Final Answer:**
\[
\boxed{1030p - 7945w}
\]
To simplify the expression \( 25(34p + 56w) + 15(12p - 623w) \), follow these steps:
1. Distribute \( 25 \) in the first part:
\[
25(34p) + 25(56w) = 850p + 1400w
\]
2. Distribute \( 15 \) in the second part:
\[
15(12p) + 15(-623w) = 180p - 9345w
\]
3. Combine both parts:
\[
850p + 1400w + 180p - 9345w
\]
4. Combine like terms:
- For \( p \):
\[
850p + 180p = 1030p
\]
- For \( w \):
\[
1400w - 9345w = -7945w
\]
5. The simplified expression is:
\[
1030p - 7945w
\]
**Final Answer:**
\[
\boxed{1030p - 7945w}
\]
Answered by
GPT-4o mini
Sure! Here’s the solution formatted for easy copying and pasting:
```
To simplify the expression 25(34p + 56w) + 15(12p - 623w), follow these steps:
1. Distribute 25 in the first part:
25(34p) + 25(56w) = 850p + 1400w
2. Distribute 15 in the second part:
15(12p) + 15(-623w) = 180p - 9345w
3. Combine both parts:
850p + 1400w + 180p - 9345w
4. Combine like terms:
- For p:
850p + 180p = 1030p
- For w:
1400w - 9345w = -7945w
5. The simplified expression is:
1030p - 7945w
Final Answer:
1030p - 7945w
```
You can copy the entire block of text above!
```
To simplify the expression 25(34p + 56w) + 15(12p - 623w), follow these steps:
1. Distribute 25 in the first part:
25(34p) + 25(56w) = 850p + 1400w
2. Distribute 15 in the second part:
15(12p) + 15(-623w) = 180p - 9345w
3. Combine both parts:
850p + 1400w + 180p - 9345w
4. Combine like terms:
- For p:
850p + 180p = 1030p
- For w:
1400w - 9345w = -7945w
5. The simplified expression is:
1030p - 7945w
Final Answer:
1030p - 7945w
```
You can copy the entire block of text above!