### Home > INT1 > Chapter A > Lesson A.1.4 > ProblemA-42

A-42.

Evaluate each equation below.

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

Rewrite the expression, substituting in the known variable.

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

$y = 14$

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

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

$a = 6.5$

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

Rewrite the expression, substituting in the known variable.

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

$n = 74$

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

Refer to parts (a) and (c).

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

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