Question

1. which expression is equivalent to

$-2.3v + (-4.2) + 8.8 + (-3.2v)$?

a $-5.5v$

b $7.4v$

c $-6.5v + 5.6$

d $-5.5v + 4.6$

Explanation:

Step1: Combine like terms for \( v \)

We have \(-2.3v\) and \(-3.2v\). To combine them, we add their coefficients: \(-2.3 + (-3.2) = -2.3 - 3.2 = -5.5\). So the combined \( v \)-terms are \(-5.5v\).

Step2: Combine the constant terms

We have \(-4.2\) and \(8.8\). Adding these together: \(-4.2 + 8.8 = 4.6\).

Step3: Combine the results

Putting the combined \( v \)-terms and constant terms together, we get \(-5.5v + 4.6\).

Answer:

D. \(-5.5v + 4.6\)