Convert the following phrase into a mathematical expression. Use x as the variable. Combine like terms when possible.

Question

A number multiplied by -8​, subtracted from the sum of 11 and five times the number

Answer 1

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: \[ 11 + 13x \]