Question
Som Solving with \( K \quad \) Write the following sentence as an equation. Use \( x \) to represent "a number." A number added to -4 is -2 .
Ask by Schneider Savage. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation is \( x - 4 = -2 \).
Solution
To translate the sentence "A number added to -4 is -2" into an equation, we can follow these steps:
1. Identify the variable: Let \( x \) represent "a number."
2. The phrase "added to -4" indicates that we will add \( x \) to -4.
3. The phrase "is -2" indicates that the result of the addition equals -2.
Putting this all together, we can write the equation as:
\[
x + (-4) = -2
\]
This simplifies to:
\[
x - 4 = -2
\]
So the final equation is:
\[
x - 4 = -2
\]
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Simplify this solution Mind Expander
To translate the sentence into an equation, you start with “a number” represented by \( x \). Then, according to the problem, "added to -4" means you will add \( x \) to -4. So, the equation becomes: \[ x + (-4) = -2 \] or simply: \[ x - 4 = -2 \] Now you can solve for \( x \) by adding 4 to both sides, leading you to the solution that \( x = 2 \)! Keep practicing, and soon enough, you'll be a pro at translating sentences into equations.
