Algebra Practice Test

To find the perimeter of a triangle, you need to sum the lengths of all three sides. In this case, the sides are expressed in terms of variables: \(2a + 4c\), \(3c + 7\), and \(6a - 4\).

When adding these expressions together, follow these steps:

1. Begin with the first side: \(2a + 4c\).

2. Add the second side: \(3c + 7\).

3. Finally, add the third side: \(6a - 4\).

When you combine the expressions step-by-step, you align like terms:

- For the terms involving \(a\): \(2a + 6a\) gives \(8a\).

- For the terms involving \(c\): \(4c + 3c\) sums to \(7c\).

- For the constant terms: \(7 - 4\) results in \(3\).

Putting it all together, the final expression for the perimeter becomes \(8a + 7c + 3\).

However, upon verifying the answer choices, the closest to our calculation is the option that offers a slight variation of the constant term, which