Question

which expression is equivalent to ( d + d + 4 + d + 1 )? choose the correct answer.
a) ( 3d + 3 )
b) ( 3d + 5 )
c) ( 5d + 3 )
d) ( 5d + 5 )

Explanation:

Step1: Combine like terms for \(d\)

There are three \(d\) terms: \(d + d + d\). Combining these, we get \(3d\) (since \(1 + 1 + 1 = 3\) for the coefficients of \(d\)).

Step2: Combine the constant terms

The constant terms are \(4\) and \(1\). Adding these together: \(4 + 1 = 5\).

Step3: Combine the results

Now, we combine the combined \(d\) terms and the combined constant terms. So the expression becomes \(3d + 5\).

Answer:

B) \(3d + 5\)