Question
Use the distributive property to write an equivalent expression. \[ 6(k+5) \]
Ask by Campbell Wells. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Equivalent expression: \( 6k + 30 \)
Solution
To use the distributive property for the expression \( 6(k + 5) \), you multiply the 6 by each term inside the parentheses:
\[
6(k) + 6(5) = 6k + 30
\]
**Equivalent expression:**
\[
6k + 30
\]
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Simplify this solution Bonus Knowledge
Distributing 6 into the expression \( k + 5 \) gives us \( 6 \cdot k + 6 \cdot 5 \). So, you would rewrite the expression as \( 6k + 30 \). It's like sharing 6 cookies with a group, ensuring everyone gets their fair share of both the k's and the additional 5 treats! Now, keep in mind that this property doesn’t just work with numbers—it can also be great for expanding algebraic expressions, making it a handy tool for simplifying tasks in math. So, feel free to practice using it on different expressions for some extra fun!
