Asked by Liv
Convert the following phrase into a mathematical expression. Use x as the variable. Combine like terms when possible.
A number multiplied by -8, subtracted from the sum of 11 and five times the number
A number multiplied by -8, subtracted from the sum of 11 and five times the number
Answers
Answered by
GPT-4o mini
Let's break down the phrase step by step:
1. **A number**: This will be represented by the variable \( x \).
2. **Multiplied by -8**: This means \( -8x \).
3. **Subtracted from**: This suggests we will subtract the expression that follows.
4. **The sum of 11 and five times the number**: The sum of 11 and five times the number can be represented as \( 11 + 5x \).
Putting it all together, we need to find the expression that represents "A number multiplied by -8 subtracted from the sum of 11 and five times the number."
The expression can be formulated as:
\[
(11 + 5x) - (-8x)
\]
This simplifies to:
\[
11 + 5x + 8x
\]
Combining like terms results in:
\[
11 + 13x
\]
Thus, the final mathematical expression is:
\[
11 + 13x
\]
1. **A number**: This will be represented by the variable \( x \).
2. **Multiplied by -8**: This means \( -8x \).
3. **Subtracted from**: This suggests we will subtract the expression that follows.
4. **The sum of 11 and five times the number**: The sum of 11 and five times the number can be represented as \( 11 + 5x \).
Putting it all together, we need to find the expression that represents "A number multiplied by -8 subtracted from the sum of 11 and five times the number."
The expression can be formulated as:
\[
(11 + 5x) - (-8x)
\]
This simplifies to:
\[
11 + 5x + 8x
\]
Combining like terms results in:
\[
11 + 13x
\]
Thus, the final mathematical expression is:
\[
11 + 13x
\]
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