(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
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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!