Question
(1)) Which expression is equivalent to \( 3.5 b+4.5+0.5 b-0.5-1.5 b \) ? \( 5.5 b+4 \) 2.5b-5 \( 5.5 b-5 \) 2.5b+4
Ask by Mcguire Davies. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The expression simplifies to \( 2.5b + 4 \).
Solution
Let's simplify the expression step by step:
**Given Expression:**
\[ 3.5b + 4.5 + 0.5b - 0.5 - 1.5b \]
**Step 1: Combine like terms (terms with \( b \))**
\[
3.5b + 0.5b - 1.5b = (3.5 + 0.5 - 1.5)b = 2.5b
\]
**Step 2: Combine constant terms (numbers without \( b \))**
\[
4.5 - 0.5 = 4
\]
**Step 3: Write the simplified expression**
\[
2.5b + 4
\]
**Conclusion:**
The expression \( 3.5b + 4.5 + 0.5b - 0.5 - 1.5b \) simplifies to **\( 2.5b + 4 \)**.
**Correct Option:**
\[ \boxed{2.5b + 4} \]
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Simplify this solution Mind Expander
Let's simplify the expression \( 3.5b + 4.5 + 0.5b - 0.5 - 1.5b \). Combine like terms for \( b \): \[ (3.5b + 0.5b - 1.5b) = (3.5 + 0.5 - 1.5)b = 2.5b \] Now combine the constant terms: \[ (4.5 - 0.5) = 4.0 \] So, the simplified expression is: \[ 2.5b + 4 \] Thus, the equivalent expression is \( 2.5b + 4 \). If you find yourself feeling overwhelmed by algebra, remember that breaking down expressions into smaller parts can make things easier! Always group your variables and constants separately. Many people tend to skip combining like terms, leading to confusion and errors. Keep it organized, and you’ll ace those problems!
