Question
4)) Which expression is equivalent to \( 5(9 u+2) \) ?
Ask by Tucker Harris. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
An equivalent expression is \( 45u + 10 \).
Solution
To find an expression equivalent to \( 5(9u + 2) \), you can use the **Distributive Property**, which states that \( a(b + c) = ab + ac \).
Applying the distributive property:
\[
5(9u + 2) = 5 \times 9u + 5 \times 2
\]
Calculate each term:
\[
5 \times 9u = 45u
\]
\[
5 \times 2 = 10
\]
Combine the results:
\[
45u + 10
\]
**Therefore, an equivalent expression is:**
\[
45u + 10
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To simplify the expression \( 5(9u + 2) \), you apply the distributive property. This means you multiply the 5 by each term inside the parentheses: \[ 5 \times 9u + 5 \times 2 = 45u + 10. \] So, the equivalent expression is \( 45u + 10 \). Now, when you're tackling expressions like these, remember to double-check your distribution. A common mistake is to forget to apply the number to every term, leading to incomplete or incorrect simplifications. With practice, these errors can be avoided, and you'll breeze through algebraic expressions in no time!
