Question

which expression is equivalent to $8.2d + 3.4 + 1.3d + 3.9$?

answer

$\circ$ $16.8d$ $\circ$ $7.3 + 9.5d$
$\circ$ $16.8$ $\circ$ $6.9d + 7.3$

Explanation:

Step1: Combine like terms for \(d\)

Identify terms with \(d\): \(8.2d\) and \(1.3d\). Add their coefficients: \(8.2 + 1.3 = 9.5\). So, the \(d\)-terms combine to \(9.5d\).

Step2: Combine constant terms

Identify constant terms: \(3.4\) and \(3.9\). Add them: \(3.4 + 3.9 = 7.3\).

Step3: Form the equivalent expression

Combine the results from Step1 and Step2: \(9.5d + 7.3\) (or \(7.3 + 9.5d\) as addition is commutative).

Answer:

\(7.3 + 9.5d\) (or the option labeled with this expression)