This worksheet provides 12 practice problems for evaluating functions, ranging from simple linear equations to more complex polynomials and exponents.

Problem: Evaluate each function.

We are given a series of functions and need to evaluate them for specific inputs. Let's solve each problem step by step.

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#### 1) \( q(m) = 10m \), Find \( q(2) \)

- The function is \( q(m) = 10m \).
- To find \( q(2) \), substitute \( m = 2 \) into the function:
\[
q(2) = 10 \cdot 2 = 20
\]

Answer: \( \boxed{20} \)

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#### 2) \( b(w) = -2w^2 - 11 \), Find \( b(-10) \)

- The function is \( b(w) = -2w^2 - 11 \).
- To find \( b(-10) \), substitute \( w = -10 \) into the function:
\[
b(-10) = -2(-10)^2 - 11
\]
Calculate \( (-10)^2 \):
\[
(-10)^2 = 100
\]
Substitute back:
\[
b(-10) = -2(100) - 11 = -200 - 11 = -211
\]

Answer: \( \boxed{-211} \)

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#### 3) \( x(g) = 2g^2 + 7g \), Find \( x(11) \)

- The function is \( x(g) = 2g^2 + 7g \).
- To find \( x(11) \), substitute \( g = 11 \) into the function:
\[
x(11) = 2(11)^2 + 7(11)
\]
Calculate \( (11)^2 \):
\[
(11)^2 = 121
\]
Substitute back:
\[
x(11) = 2(121) + 7(11) = 242 + 77 = 319
\]

Answer: \( \boxed{319} \)

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#### 4) \( y(w) = w^3 + 8w^2 \), Find \( y(9) \)

- The function is \( y(w) = w^3 + 8w^2 \).
- To find \( y(9) \), substitute \( w = 9 \) into the function:
\[
y(9) = (9)^3 + 8(9)^2
\]
Calculate \( (9)^3 \) and \( (9)^2 \):
\[
(9)^3 = 729, \quad (9)^2 = 81
\]
Substitute back:
\[
y(9) = 729 + 8(81) = 729 + 648 = 1377
\]

Answer: \( \boxed{1377} \)

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#### 5) \( z(n) = 3^{n+2} \), Find \( z(1) \)

- The function is \( z(n) = 3^{n+2} \).
- To find \( z(1) \), substitute \( n = 1 \) into the function:
\[
z(1) = 3^{1+2} = 3^3
\]
Calculate \( 3^3 \):
\[
3^3 = 27
\]

Answer: \( \boxed{27} \)

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#### 6) \( b(n) = (-3)^{2n} \), Find \( b(1) \)

- The function is \( b(n) = (-3)^{2n} \).
- To find \( b(1) \), substitute \( n = 1 \) into the function:
\[
b(1) = (-3)^{2 \cdot 1} = (-3)^2
\]
Calculate \( (-3)^2 \):
\[
(-3)^2 = 9
\]

Answer: \( \boxed{9} \)

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#### 7) \( b(s) = -10s \), Find \( b(s - 11) \)

- The function is \( b(s) = -10s \).
- To find \( b(s - 11) \), substitute \( s - 11 \) into the function:
\[
b(s - 11) = -10(s - 11)
\]
Distribute the \(-10\):
\[
b(s - 11) = -10s + 110
\]

Answer: \( \boxed{-10s + 110} \)

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#### 8) \( k(z) = z^2 + 7 \), Find \( k(8z - 2) \)

- The function is \( k(z) = z^2 + 7 \).
- To find \( k(8z - 2) \), substitute \( 8z - 2 \) into the function:
\[
k(8z - 2) = (8z - 2)^2 + 7
\]
Expand \( (8z - 2)^2 \):
\[
(8z - 2)^2 = (8z)^2 - 2 \cdot 8z \cdot 2 + 2^2 = 64z^2 - 32z + 4
\]
Substitute back:
\[
k(8z - 2) = 64z^2 - 32z + 4 + 7 = 64z^2 - 32z + 11
\]

Answer: \( \boxed{64z^2 - 32z + 11} \)

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#### 9) \( z(q) = -10q^2 - 5q \), Find \( z(q^3) \)

- The function is \( z(q) = -10q^2 - 5q \).
- To find \( z(q^3) \), substitute \( q^3 \) into the function:
\[
z(q^3) = -10(q^3)^2 - 5(q^3)
\]
Simplify \( (q^3)^2 \):
\[
(q^3)^2 = q^6
\]
Substitute back:
\[
z(q^3) = -10q^6 - 5q^3
\]

Answer: \( \boxed{-10q^6 - 5q^3} \)

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#### 10) \( y(z) = z^3 - 11z^2 \), Find \( y(10z) \)

- The function is \( y(z) = z^3 - 11z^2 \).
- To find \( y(10z) \), substitute \( 10z \) into the function:
\[
y(10z) = (10z)^3 - 11(10z)^2
\]
Calculate \( (10z)^3 \) and \( (10z)^2 \):
\[
(10z)^3 = 1000z^3, \quad (10z)^2 = 100z^2
\]
Substitute back:
\[
y(10z) = 1000z^3 - 11(100z^2) = 1000z^3 - 1100z^2
\]

Answer: \( \boxed{1000z^3 - 1100z^2} \)

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#### 11) \( p(d) = 3^{2d^2} \), Find \( p(d + 11) \)

- The function is \( p(d) = 3^{2d^2} \).
- To find \( p(d + 11) \), substitute \( d + 11 \) into the function:
\[
p(d + 11) = 3^{2(d + 11)^2}
\]
Expand \( (d + 11)^2 \):
\[
(d + 11)^2 = d^2 + 2 \cdot d \cdot 11 + 11^2 = d^2 + 22d + 121
\]
Substitute back:
\[
p(d + 11) = 3^{2(d^2 + 22d + 121)} = 3^{2d^2 + 44d + 242}
\]

Answer: \( \boxed{3^{2d^2 + 44d + 242}} \)

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#### 12) \( q(p) = -3^{2p} \), Find \( q(9p) \)

- The function is \( q(p) = -3^{2p} \).
- To find \( q(9p) \), substitute \( 9p \) into the function:
\[
q(9p) = -3^{2(9p)}
\]
Simplify \( 2(9p) \):
\[
2(9p) = 18p
\]
Substitute back:
\[
q(9p) = -3^{18p}
\]

Answer: \( \boxed{-3^{18p}} \)

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Final Answers:

\[
\boxed{
\begin{aligned}
1) & \ 20 \\
2) & \ -211 \\
3) & \ 319 \\
4) & \ 1377 \\
5) & \ 27 \\
6) & \ 9 \\
7) & \ -10s + 110 \\
8) & \ 64z^2 - 32z + 11 \\
9) & \ -10q^6 - 5q^3 \\
10) & \ 1000z^3 - 1100z^2 \\
11) & \ 3^{2d^2 + 44d + 242} \\
12) & \ -3^{18p}
\end{aligned}
}
\]