Question

write an expression that is equivalent to $4.5d + 10 - 1.5d - 2.5$. group the like terms. $4.5d + 10 - 1.5d - 2.5 = 4.5d + 10 + (-1.5d) + (-2.5) = ? + ?$

Explanation:

Step1: Group like terms (d terms)

Group \(4.5d\) and \(-1.5d\): \(4.5d + (-1.5d)\)

Step2: Group like terms (constant terms)

Group \(10\) and \(-2.5\): \(10 + (-2.5)\)

Step3: Combine d terms

\(4.5d + (-1.5d) = (4.5 - 1.5)d = 3d\)

Step4: Combine constant terms

\(10 + (-2.5) = 10 - 2.5 = 7.5\)

Step5: Form the equivalent expression

Combine the results: \(3d + 7.5\)

Answer:

The first box (for d terms) is \(3d\) and the second box (for constant terms) is \(7.5\), so the equivalent expression is \(3d + 7.5\).