Question
Consider the following. a number added to the product of four and the number Translate into a variable expression. (Use \( x \) for your variable. Do not simplify.) Simplify. \( \begin{array}{l}\text { Suggested tutorials: } \\ \text { Learn It: Translate verbal to variable expressions. } \\ \text { Learn It: Simplify general variable expressions. } \\ \text { Need Help? Read It } \\ \text { Watch It }\end{array} \)
Ask by Malone Luna. in Puerto Rico
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
La expresión simplificada es \( 5x \).
Solution
Para traducir la frase "un número añadido al producto de cuatro y el número" a una expresión variable, seguimos estos pasos:
1. **Identificar el número**: Usamos \( x \) como nuestra variable.
2. **Identificar el producto**: El producto de cuatro y el número se expresa como \( 4x \).
3. **Añadir el número**: Ahora, añadimos el número \( x \) al producto \( 4x \).
Por lo tanto, la expresión variable es:
\[
x + 4x
\]
Ahora, simplificamos la expresión:
\[
x + 4x = 5x
\]
Así que la expresión simplificada es:
\[
5x
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To translate the phrase "a number added to the product of four and the number" into a variable expression using \( x \), you would express it as \( x + 4x \). Here, \( 4x \) represents the product of four and the number \( x \), while \( x + 4x \) captures the addition of the original number. Next, let's simplify the expression \( x + 4x \). When we combine like terms, we get \( 5x \). So, the final simplified expression is \( 5x \). This process helps in translating and simplifying mathematical expressions efficiently!
