Math worksheet with a "SUM UP +" puzzle activity involving number addition and letter substitution.

Problem Description:

The task involves solving a series of arithmetic problems and using the results to decode a secret message. Each problem's answer corresponds to a letter in the provided code key at the top of the image. The goal is to solve all the problems, map the answers to letters, and reveal the hidden message.

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Step-by-Step Solution:

#### 1. Solve Each Arithmetic Problem:
We will solve each problem step by step and record the answers.

##### Row 1:
1. \( 3 + 2 = 5 \)
2. \( 6 + 8 = 14 \)
3. \( 5 + 9 = 14 \)
4. \( 9 + 1 = 10 \)
5. \( 3 - 7 = -4 \)
6. \( 3 + 6 = 9 \)
7. \( 9 + 3 = 12 \)
8. \( 6 + 3 = 9 \)
9. \( 7 + 3 = 10 \)
10. \( 8 + 3 = 11 \)
11. \( 1 - 6 = -5 \)
12. \( 20 + 7 = 27 \)
13. \( 9 - 9 + 2 = 2 \)
14. \( 7 - 1 = 6 \)

##### Row 2:
1. \( 17 + 2 - 9 = 10 \)
2. \( 18 + 4 - 3 = 19 \)
3. \( 19 + 3 - 1 = 21 \)
4. \( 20 + 3 + 1 = 24 \)
5. \( 21 + 7 + 4 = 32 \)
6. \( 23 + 9 - 3 = 29 \)
7. \( 24 - 3 + 7 = 28 \)
8. \( 25 + 7 + 20 = 52 \)
9. \( 26 + 9 + 3 = 38 \)
10. \( 28 + 5 + 3 = 36 \)
11. \( 29 - 7 + 9 = 31 \)
12. \( 30 + 5 + 8 = 43 \)
13. \( 31 + 2 - 4 = 29 \)
14. \( 32 - 8 + 7 = 29 \)

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#### 2. Map Answers to Letters Using the Code Key:
The code key at the top of the image maps numbers to letters. We will use this key to convert each answer into a corresponding letter.

##### Code Key:
- \( W = 1 \)
- \( G = 2 \)
- \( H = 3 \)
- \( O = 4 \)
- \( L = 5 \)
- \( S = 6 \)
- \( A = 7 \)
- \( E = 8 \)
- \( Q = 9 \)
- \( Y = 10 \)
- \( U = 11 \)
- \( T = 12 \)
- \( C = 13 \)
- \( B = 14 \)
- \( N = 15 \)
- \( F = 16 \)
- \( 17 = 17 \)
- \( 18 = 18 \)
- \( 19 = 19 \)
- \( 20 = 20 \)
- \( 21 = 21 \)
- \( 22 = 22 \)
- \( 23 = 23 \)
- \( 24 = 24 \)
- \( 25 = 25 \)
- \( 26 = 26 \)
- \( 27 = 27 \)
- \( 28 = 28 \)
- \( 29 = 29 \)
- \( 30 = 30 \)
- \( 31 = 31 \)
- \( 32 = 32 \)
- \( 33 = 33 \)
- \( 34 = 34 \)
- \( 35 = 35 \)
- \( 36 = 36 \)
- \( 37 = 37 \)
- \( 38 = 38 \)
- \( 39 = 39 \)
- \( 40 = 40 \)
- \( 41 = 41 \)
- \( 42 = 42 \)
- \( 43 = 43 \)

##### Mapping Answers:
- Row 1:
1. \( 5 \rightarrow L \)
2. \( 14 \rightarrow B \)
3. \( 14 \rightarrow B \)
4. \( 10 \rightarrow Y \)
5. \( -4 \rightarrow \text{(No match)} \)
6. \( 9 \rightarrow Q \)
7. \( 12 \rightarrow U \)
8. \( 9 \rightarrow Q \)
9. \( 10 \rightarrow Y \)
10. \( 11 \rightarrow T \)
11. \( -5 \rightarrow \text{(No match)} \)
12. \( 27 \rightarrow 27 \) (No direct mapping, assume error or placeholder)
13. \( 2 \rightarrow G \)
14. \( 6 \rightarrow S \)

- Row 2:
1. \( 10 \rightarrow Y \)
2. \( 19 \rightarrow 19 \) (No direct mapping, assume error or placeholder)
3. \( 21 \rightarrow 21 \) (No direct mapping, assume error or placeholder)
4. \( 24 \rightarrow 24 \) (No direct mapping, assume error or placeholder)
5. \( 32 \rightarrow 32 \) (No direct mapping, assume error or placeholder)
6. \( 29 \rightarrow 29 \) (No direct mapping, assume error or placeholder)
7. \( 28 \rightarrow 28 \) (No direct mapping, assume error or placeholder)
8. \( 52 \rightarrow \text{(No match)} \)
9. \( 38 \rightarrow 38 \) (No direct mapping, assume error or placeholder)
10. \( 36 \rightarrow 36 \) (No direct mapping, assume error or placeholder)
11. \( 31 \rightarrow 31 \) (No direct mapping, assume error or placeholder)
12. \( 43 \rightarrow 43 \) (No direct mapping, assume error or placeholder)
13. \( 29 \rightarrow 29 \) (No direct mapping, assume error or placeholder)
14. \( 29 \rightarrow 29 \) (No direct mapping, assume error or placeholder)

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#### 3. Interpret the Results:
From the mappings, we can see that some answers do not have direct mappings in the provided code key. This suggests either an error in the problem setup or placeholders for certain values. However, based on the valid mappings:

- Row 1: \( L, B, B, Y, ?, Q, U, Q, Y, T, ?, ?, G, S \)
- Row 2: \( Y, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ? \)

The valid letters from Row 1 are: \( L, B, B, Y, Q, U, Q, Y, T, G, S \).

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#### 4. Form the Secret Message:
Using the valid letters, the secret message appears to be:
\[ \boxed{LBBYQUQYTGS} \]

This is the decoded message based on the solvable parts of the exercise. If additional context or clarification is needed for the unmapped values, please provide further details.