Question
Represent the following phrase as an algebraic expression, where "a number" is the letter \( x \). You do not need to simplify. \[ 4 \text { is multiplied by the sum of a number and } 8 \text {. } \]
Ask by Long Olson. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[ 4(x + 8) \]
Solution
The phrase "4 is multiplied by the sum of a number and 8" can be translated into an algebraic expression as follows:
\[
4(x + 8)
\]
Here:
- \( x \) represents "a number."
- \( x + 8 \) represents the sum of the number and 8.
- Multiplying the sum by 4 gives the final expression \( 4(x + 8) \).
**Answer:**
\[ 4(x + 8) \]
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Simplify this solution Mind Expander
To represent the phrase algebraically, we start by setting "a number" as the variable \( x \). The phrase "the sum of a number and 8" translates to \( x + 8 \). Therefore, when we say "4 is multiplied by the sum of a number and 8", we can express this as \( 4(x + 8) \). So, the final algebraic expression is \( 4(x + 8) \). If you're ever unsure about translating phrases to algebraic expressions, remember to break the phrase down into smaller parts. Identify keywords: "sum" often indicates addition, while phrases like "is multiplied" signal multiplication. It's all about piecing together the components logically!
