LOOP RAIDER MASTER KEY

Teacher Reference & Setup Manual / 20-Problem Loop

Model Key

Classroom Deployment Guide

1. Print & Cut: Print the 5 pages of loop cards. Cut each page into quarters to get 20 cards.
2. Hang: Tape the cards in a random order around the classroom. Do NOT hang them in alphabetical order, or students won't have to hunt! Solved answers should match the 'Previous Answer Target' of their next card.
3. Start: Hand out the answer sheets. Students can start at any card. If they start at Card M, they write 'M' in the 'Card' box of Station 1, solve it, get 1.5, and look for Card N (which has 1.5 at the top).

The Master Loop Sequence

Use this sequence to instantly verify a student's path. No matter where they start, they must follow this alphabetical order to form a closed loop!

A → B → C → D → E → F → G → H → I → J → K → L → M → N → O → P → Q → R → S → T → A

Detailed Solutions (Stations A - J)

Card A (Starts with 1):

\( 3x - 4.5 = 10.5 \)

Add 4.5: 3x = 15 → x = 5 (Goes to B)

Card B (Starts with 5):

\( \frac{x}{3} + 1.5 = -1.5 \)

Sub 1.5: x/3 = -3 → x = -9 (Goes to C)

Card C (Starts with -9):

\( -5x + 12 = -3 \)

Sub 12: -5x = -15 → x = 3 (Goes to D)

Card D (Starts with 3):

\( 0.5x - 7 = -3 \)

Add 7: 0.5x = 4 → x = 8 (Goes to E)

Card E (Starts with 8):

\( \frac{1}{3}x + 8 = 10 \)

Sub 8: x/3 = 2 → x = 6 (Goes to F)

Card F (Starts with 6):

\( -4x - 6 = 6 \)

Add 6: -4x = 12 → x = -3 (Goes to G)

Card G (Starts with -3):

\( 1.5x - 8 = 10 \)

Add 8: 1.5x = 18 → x = 12 (Goes to H)

Card H (Starts with 12):

\( \frac{x}{-2} + 5 = 7 \)

Sub 5: x/-2 = 2 → x = -4 (Goes to I)

Card I (Starts with -4):

\( 6x + 2.4 = 14.4 \)

Sub 2.4: 6x = 12 → x = 2 (Goes to J)

Card J (Starts with 2):

\( -2x + 1 = 4 \)

Sub 1: -2x = 3 → x = -1.5 (Goes to K)

Loop Raider Master Key (Part 2)

PAGE 02 / 02

Detailed Solutions (Stations K - T)

Card K (Starts with -1.5):

\( 0.8x - 3 = 5 \)

Add 3: 0.8x = 8 → x = 10 (Goes to L)

Card L (Starts with 10):

\( \frac{x}{4} - 1.5 = -2 \)

Add 1.5: x/4 = -0.5 → x = -2 (Goes to M)

Card M (Starts with -2):

\( 4x - 2.5 = 3.5 \)

Add 2.5: 4x = 6 → x = 1.5 (Goes to N)

Card N (Starts with 1.5):

\( -3x + 4.5 = 19.5 \)

Sub 4.5: -3x = 15 → x = -5 (Goes to O)

Card O (Starts with -5):

\( \frac{x}{0.5} + 6 = 14 \)

Sub 6: x/0.5 = 8 → x = 4 (Goes to P)

Card P (Starts with 4):

\( 0.2x + 5 = 8 \)

Sub 5: 0.2x = 3 → x = 15 (Goes to Q)

Card Q (Starts with 15):

\( 7x - 4.2 = -11.2 \)

Add 4.2: 7x = -7 → x = -1 (Goes to R)

Card R (Starts with -1):

\( 8x + 1.5 = 5.5 \)

Add -1.5: 8x = 4 → x = 0.5 (Goes to S)

Card S (Starts with 0.5):

\( \frac{x}{-5} - 4 = -2 \)

Add 4: x/-5 = 2 → x = -10 (Goes to T)

Card T (Starts with -10):

\( -9x + 3.5 = -5.5 \)

Sub 3.5: -9x = -9 → x = 1 (Goes to A)

Instant Grading Tip

Students can start at any card. However, their alphabetical card sequence should always progress in alphabetical order (e.g., K → L → M → ... → T → A → B). If a student has a break in alphabetical sequence, they made a calculation or sign error at that station.

Equation Loop Raider Key

Equation Loop Raider Key

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