Evaluate each equation below.

1. For $f(x) = 2 + 3x$, what is the value of $f(4)$?

   Hint (a):

   Rewrite the expression, substituting in the known variable.

   Steps (a):

   $y = 2 + 3(4)$
   $y = 2 + 12$

   Answer (a):

   $y = 14$

2. For $a = 4 − 5c$ when $c=−\frac{1}{2}$, what is the value of $a$?

   Hint (b):

   See part (a) for a strategy to evaluate this expression.
   Remember to pay attention to negative signs.

   Answer (b):

   $a = 6.5$

3. For $n = 3d ^{2} − 1$ when $d = −5$ , what is the value of $n$?

   Hint (c):

   Rewrite the expression, substituting in the known variable.

   Steps (c):

   $n = 3(−5)² − 1\\n = 3(25) − 1\\n = 75 − 1$

   Answer (c):

   $n = 74$

4. For $h(x)=−4(x−2)$, what is the value of $h(−1)$?

   Hint (d):

   Refer to parts (a) and (c).

5. For $3 + k = t$ when $t = 14$, what is the value of $k$?

   Hint (e):

   Rewrite the problem, substituting in the known variable and then rearrange the problem to make it equal to the unknown variable.