Cipher Protocol Worksheet
Classified Dossier Algebra 1 Regents Practice
OPERATION CIPHER PROTOCOL
Operative:
Date:
Section:
Score: / 8
Mission Protocol: Solve each multi-step equation or inequality below. Show complete algebraic work. Each problem yields a distinct integer value (Keys A through H). Record your results in the Cipher Register at the bottom. You will transfer these keys to Page 2 to decrypt the Meta Logic Grid!
A Multi-Step Equation Find \( x \)
\( 4(3x - 2) - 5(x - 3) = 28 \)
Key A =
B Rational Equation Find \( x \)
\( \frac{2x + 5}{3} - \frac{x - 1}{2} = 3 \)
Key B =
C Variables Both Sides Find \( x \)
\( 7 - 2(4 - 3x) = 5(2x - 5) + 8 \)
Key C =
D Integer Distribution Find \( x \)
\( 6(x + 2) - 4(2x - 1) = 30 \)
Key D =
E Linear Inequality Max integer in set
\( -3(2x - 4) + 5 \ge 41 \)
Key E =
F Inequality Both Sides Min integer in set
\( 5x - 2(x + 6) < 4x - 21 \)
Key F =
G Compound Inequality Sum of min & max int
\( -14 \le 4x - 2 < 22 \)
Key G =
H Rational Inequality Boundary value of \( x \)
\( \frac{5x - 7}{3} \ge 2x - 5 \)
Key H =
Master Cipher Register: Copy your solved keys here, then proceed to Page 2.
A
B
C
D
E
F
G
H
Phase 2: Decryption Einstein-Grid Logic Deduction
THE QUANTUM VAULT INFILTRATION
Target Elements:
4 Agents • 4 Sectors • 4 Gadgets
Four field agents (Chen, Cross, Sterling, Vance) were intercepted during a coordinated security breach. Each agent operated in a distinct security sector (Sector 2, Sector 3, Sector 5, Sector 8) and carried a distinct cyber gadget (EMP Disruptor, Laser Cutter, Neural Key, Quantum Drive). Substitute your values from Page 1 to decode the intercepted logs!
Step 1: Decode Intercepted Transmission Clues
Clue 1 Uses Key G
The operative carrying the Quantum Drive was deployed in Sector [G] = Sector .
Clue 2 Uses Keys A & B
Vance operated in a sector strictly less than [A] = , while Sterling was assigned to Sector [B] = .
Clue 3 Uses Key H
Agent Cross was confirmed stationed in Sector [H] = Sector .
Clue 4 Uses Key C
The operative with the Laser Cutter was stationed in an odd-numbered sector strictly greater than [C] = .
Clue 5 Uses Keys F & G
The operative carrying the EMP Disruptor operated in Sector [F − G] = Sector .
Clue 6 Integrity Check (D & E)
Verify: The Neural Key sector satisfies [ |D| + E ] = 7 + (−4) = Sector .
Step 2: Logic Deduction Matrix
Use \( \checkmark \) for confirmed matches and \( \times \) for eliminations.
| Operative |
Sectors |
Gadgets |
| Sec 2 |
Sec 3 |
Sec 5 |
| --- |
--- |
--- |
| Chen |
|
|
| Cross |
|
|
| Sterling |
|
|
| Vance |
|
|
Step 3: Final Intelligence Dossier
Summarize the confirmed matching:
Agent Chen Sector: ______ Gadget: ______
Agent Cross Sector: ______ Gadget: ______
Agent Sterling Sector: ______ Gadget: ______
Agent Vance Sector: ______ Gadget: ______
Master Vault Security Override Code: Evaluate: \( \text{Code} = (\text{Cross's Sector} \times \text{Sterling's Sector}) - (\text{Vance's Sector} \times \text{Chen's Sector}) + [F] \)
CODE =
