Question
M6|L21 Combining Like Terms (Part 2)Sign out
Write equivalent expressions.
How could you start to write equivalent expressions?
18 − 8(3x − 8)
Start left to right and subtract 18 − 8 first.
Use the distributive property to distribute the -8 to the values within the parentheses.
Write equivalent expressions.
How could you start to write equivalent expressions?
18 − 8(3x − 8)
Start left to right and subtract 18 − 8 first.
Use the distributive property to distribute the -8 to the values within the parentheses.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To write equivalent expressions for the given expression \( 18 - 8(3x - 8) \), you can apply the distributive property. Here’s how to do it step by step:
1. **Distribute the -8**:
Multiply -8 by each term inside the parentheses:
\[
-8(3x) + -8(-8)
\]
This simplifies to:
\[
-24x + 64
\]
2. **Combine with the constant**:
Now, incorporate the constant 18 from the original expression:
\[
18 - 24x + 64
\]
3. **Combine like terms**:
Combine the constants (18 and 64):
\[
82 - 24x
\]
Thus, the equivalent expression for \( 18 - 8(3x - 8) \) is:
\[
82 - 24x
\]
This process shows how you can systematically apply the distributive property and combine like terms to generate an equivalent expression.
1. **Distribute the -8**:
Multiply -8 by each term inside the parentheses:
\[
-8(3x) + -8(-8)
\]
This simplifies to:
\[
-24x + 64
\]
2. **Combine with the constant**:
Now, incorporate the constant 18 from the original expression:
\[
18 - 24x + 64
\]
3. **Combine like terms**:
Combine the constants (18 and 64):
\[
82 - 24x
\]
Thus, the equivalent expression for \( 18 - 8(3x - 8) \) is:
\[
82 - 24x
\]
This process shows how you can systematically apply the distributive property and combine like terms to generate an equivalent expression.
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