Math worksheet for solving basic algebraic equations with variables.

Problem Description:

The task involves solving a series of simple equations to find the value of the unknown variable in each equation. The equations are presented in a worksheet format, and the goal is to determine the missing values step by step.

Equations to Solve:

1. \( h + 5 = 8 \)
2. \( a + 4 = 12 \)
3. \( 4 + h = 13 \)
4. \( 9 + a = 11 \)
5. \( 5 + b = 10 \)
6. \( 10 + t = 20 \)
7. \( i + 2 = 4 \)
8. \( 3 + h = 12 \)
9. \( x + 2 = 8 \)
10. \( 8 + b = 17 \)

Solution Approach:

To solve each equation, we isolate the unknown variable on one side of the equation by performing basic arithmetic operations (addition or subtraction). Let's solve each equation step by step.

---

#### Equation 1: \( h + 5 = 8 \)
- Subtract 5 from both sides:
\[
h + 5 - 5 = 8 - 5
\]
\[
h = 3
\]

#### Equation 2: \( a + 4 = 12 \)
- Subtract 4 from both sides:
\[
a + 4 - 4 = 12 - 4
\]
\[
a = 8
\]

#### Equation 3: \( 4 + h = 13 \)
- Subtract 4 from both sides:
\[
4 + h - 4 = 13 - 4
\]
\[
h = 9
\]

#### Equation 4: \( 9 + a = 11 \)
- Subtract 9 from both sides:
\[
9 + a - 9 = 11 - 9
\]
\[
a = 2
\]

#### Equation 5: \( 5 + b = 10 \)
- Subtract 5 from both sides:
\[
5 + b - 5 = 10 - 5
\]
\[
b = 5
\]

#### Equation 6: \( 10 + t = 20 \)
- Subtract 10 from both sides:
\[
10 + t - 10 = 20 - 10
\]
\[
t = 10
\]

#### Equation 7: \( i + 2 = 4 \)
- Subtract 2 from both sides:
\[
i + 2 - 2 = 4 - 2
\]
\[
i = 2
\]

#### Equation 8: \( 3 + h = 12 \)
- Subtract 3 from both sides:
\[
3 + h - 3 = 12 - 3
\]
\[
h = 9
\]

#### Equation 9: \( x + 2 = 8 \)
- Subtract 2 from both sides:
\[
x + 2 - 2 = 8 - 2
\]
\[
x = 6
\]

#### Equation 10: \( 8 + b = 17 \)
- Subtract 8 from both sides:
\[
8 + b - 8 = 17 - 8
\]
\[
b = 9
\]

---

Final Answers:

1. \( h = 3 \)
2. \( a = 8 \)
3. \( h = 9 \)
4. \( a = 2 \)
5. \( b = 5 \)
6. \( t = 10 \)
7. \( i = 2 \)
8. \( h = 9 \)
9. \( x = 6 \)
10. \( b = 9 \)

Boxed Final Answer:

\[
\boxed{3, 8, 9, 2, 5, 10, 2, 9, 6, 9}
\]