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:
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1. Solve Each Arithmetic Problem:
We will solve each problem step by step and record the answers.
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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. \( 9 + 2 = 11 \)
8. \( 3 + 0 = 3 \)
9. \( 6 + 9 = 15 \)
10. \( 7 + 3 = 10 \)
11. \( 8 + 3 = 11 \)
12. \( 1 + 6 = 7 \)
13. \( 20 + 7 = 27 \)
14. \( 9 + 9 + (-2) = 16 \)
15. \( 7 + 1 = 8 \)
#####
Row 2:
1. \( 17 + 2 - 9 = 10 \)
2. \( 18 + 4 - 3 = 19 \)
3. \( 19 + 7 + (-1) = 25 \)
4. \( 20 + 3 + (-4) = 19 \)
5. \( 21 + 7 + 4 = 32 \)
6. \( 23 + 9 - 3 = 29 \)
7. \( 24 - 10 - 3 = 11 \)
8. \( 25 + 6 + 7 = 38 \)
9. \( 26 + 9 + 3 = 38 \)
10. \( 27 + 9 - 2 = 34 \)
11. \( 28 + 2 + (-5) = 25 \)
12. \( 29 + 3 + 9 = 41 \)
13. \( 30 + 5 + 8 = 43 \)
14. \( 31 + 2 - 4 = 29 \)
15. \( 32 + 8 - 7 = 33 \)
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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.
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Row 1:
1. \( 5 \rightarrow E \)
2. \( 14 \rightarrow N \)
3. \( 14 \rightarrow N \)
4. \( 10 \rightarrow J \)
5. \( -4 \rightarrow W \)
6. \( 9 \rightarrow I \)
7. \( 11 \rightarrow K \)
8. \( 3 \rightarrow C \)
9. \( 15 \rightarrow O \)
10. \( 10 \rightarrow J \)
11. \( 11 \rightarrow K \)
12. \( 7 \rightarrow G \)
13. \( 27 \rightarrow Z \)
14. \( 16 \rightarrow P \)
15. \( 8 \rightarrow H \)
#####
Row 2:
1. \( 10 \rightarrow J \)
2. \( 19 \rightarrow S \)
3. \( 25 \rightarrow Y \)
4. \( 19 \rightarrow S \)
5. \( 32 \rightarrow V \)
6. \( 29 \rightarrow U \)
7. \( 11 \rightarrow K \)
8. \( 38 \rightarrow B \)
9. \( 38 \rightarrow B \)
10. \( 34 \rightarrow X \)
11. \( 25 \rightarrow Y \)
12. \( 41 \rightarrow F \)
13. \( 43 \rightarrow R \)
14. \( 29 \rightarrow U \)
15. \( 33 \rightarrow T \)
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3. Combine the Letters to Form the Message:
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Row 1: \( E, N, N, J, W, I, K, C, O, J, K, G, Z, P, H \)
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Row 2: \( J, S, Y, S, V, U, K, B, B, X, Y, F, R, U, T \)
Combining these, we get the final message:
```
ENNWIKCOJKGZPH
JSYSVUKBBXYFURT
```
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Final Answer:
The decoded message is:
\[
\boxed{ENNWIKCOJKGZPHJSYSVUKBBXYFURT}
\]
This is the sequence of letters obtained from solving the arithmetic problems and mapping them to the code key. If there is a specific structure or pattern expected for the message, further interpretation might be needed. However, based on the given instructions, this is the complete solution.
Parent Tip: Review the logic above to help your child master the concept of algebra with pizzazz 158 answers.