Integer addition worksheet with equations and answers to match.

Problem Analysis:

The task requires matching each given equation involving integers to its correct result. The equations involve addition of positive and negative integers, and we need to compute the results step by step.

Given Equations and Results:

#### Equations:
1. \( (+3) + (-4) \)
2. \( (-6) + (-2) \)
3. \( (+5) + (-2) \)
4. \( (-8) + (4) \)
5. \( (-9) + (-4) \)

#### Possible Results:
- \( -13 \)
- \( 3 \)
- \( -1 \)
- \( -8 \)
- \( -4 \)

Step-by-Step Solution:

#### 1. Compute \( (+3) + (-4) \):
- Adding a positive integer and a negative integer is equivalent to subtracting the absolute value of the negative integer from the positive integer.
- \( (+3) + (-4) = 3 - 4 = -1 \)
- Result: \( -1 \)

#### 2. Compute \( (-6) + (-2) \):
- Adding two negative integers is equivalent to adding their absolute values and keeping the negative sign.
- \( (-6) + (-2) = -(6 + 2) = -8 \)
- Result: \( -8 \)

#### 3. Compute \( (+5) + (-2) \):
- Adding a positive integer and a negative integer is equivalent to subtracting the absolute value of the negative integer from the positive integer.
- \( (+5) + (-2) = 5 - 2 = 3 \)
- Result: \( 3 \)

#### 4. Compute \( (-8) + (4) \):
- Adding a negative integer and a positive integer is equivalent to subtracting the absolute value of the smaller integer from the larger integer and keeping the sign of the larger integer.
- Here, \( |-8| = 8 \) and \( |4| = 4 \). Since \( 8 > 4 \), we subtract \( 4 \) from \( 8 \) and keep the negative sign.
- \( (-8) + (4) = -(8 - 4) = -4 \)
- Result: \( -4 \)

#### 5. Compute \( (-9) + (-4) \):
- Adding two negative integers is equivalent to adding their absolute values and keeping the negative sign.
- \( (-9) + (-4) = -(9 + 4) = -13 \)
- Result: \( -13 \)

Final Matching:

- \( (+3) + (-4) \) → \( -1 \)
- \( (-6) + (-2) \) → \( -8 \)
- \( (+5) + (-2) \) → \( 3 \)
- \( (-8) + (4) \) → \( -4 \)
- \( (-9) + (-4) \) → \( -13 \)

Boxed Answer:

\[
\boxed{
\begin{aligned}
(+3) + (-4) & \rightarrow -1 \\
(-6) + (-2) & \rightarrow -8 \\
(+5) + (-2) & \rightarrow 3 \\
(-8) + (4) & \rightarrow -4 \\
(-9) + (-4) & \rightarrow -13
\end{aligned}
}
\]