Algebra Code Breaker Puzzles
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Algebra Code Breaker Puzzles
🔍 Part 1: Expression Detective
Instructions: Solve each expression when x = 5 and y = 2. Match your answer to the code table to find the secret letters!
Code Table: 6=O, 7=T, 10=A, 15=R
Secret Message: Write the letters in order from questions 1-6: __ __ __ __ __ __
🗝️ Part 2: Equation Solver
Instructions: Solve each equation to find the value of the variable. Use the code table below to decode the hidden word!
Code Table: 1=A, 4=D, 7=P, 8=H, 9=N, 11=E
Hidden Word: Write the letters in order from questions 7-12: __ __ __ __ __ __
Challenge: Can you create your own algebra code for a friend? Write one expression and one equation below:
📋 Answer Sheet
Teacher Reference - Complete Solutions
Part 1: Expression Detective (x = 5, y = 2)
Code Table: 6=O, 7=T, 10=A, 15=R
1. x + 2 = 5 + 2 = 7 Letter: T
2. x + y = 5 + 2 = 7 Letter: T
3. x - y + 7 = 5 - 2 + 7 = 10 Letter: O
4. 2x + 5 = 2(5) + 5 = 15 Letter: T
5. 3x - y - 3 = 3(5) - 2 - 3 = 10 Letter: A
6. 2x + 5 = 2(5) + 5 = 15 Letter: R
Secret Message: T O T A R A
Part 2: Equation Solver
Code Table: 1=A, 4=D, 7=P, 8=H, 9=N, 11=E
7. n + 3 = 7 → n = 7 - 3 = 4 Letter: D
8. m - 3 = 4 → m = 4 + 3 = 7 Letter: A
9. 2k = 14 → k = 14 ÷ 2 = 7 Letter: P
10. p + 3 = 11 → p = 11 - 3 = 8 Letter: H
11. 3t = 27 → t = 27 ÷ 3 = 9 Letter: N
12. w - 7 = 4 → w = 4 + 7 = 11 Letter: E
Hidden Word: D A P H N E
Solution Steps Summary:
Key Skills Demonstrated:
- Substituting values into algebraic expressions
- Following order of operations
- Solving one-step equations (addition, subtraction, multiplication, division)
- Using inverse operations to isolate variables
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