Equation Decoder Cards
CUT GUIDE
CUT GUIDE
CUT GUIDE
Equation Crusaders: Desk Helpers
Print on heavy cardstock, laminate, and slice along the dashed guidelines.
Level 1 Scaffold
EQUATION DECODER
The 2-Step Protocol
Desk Card
1
Draw the Balance Line
"The Wall"
Drop a vertical line from the =. Keep both sides balanced!
3x + 5 | = 17
2
Undo Addition & Subtraction
Eliminate the constant term first using its opposite.
3x + 5 - 5 = 17 - 5
3
Undo Multiplication & Division
Isolate the variable last to solve.
× ↔ ÷ Both Sides!
3x/3 = 12/3 → x = 4
Integer Helper Dashboard
Add & Subtract
Same Sign: Add & Keep sign.
Diff Sign: Subtract, keep larger.
Multiply & Divide
Same Sign: (+) Pos
Diff Sign: (-) Neg
EQUATION DECODER
The 2-Step Protocol
Desk Card
1
Draw the Balance Line
"The Wall"
Drop a vertical line from the =. Keep both sides balanced!
3x + 5 | = 17
2
Undo Addition & Subtraction
Eliminate the constant term first using its opposite.
3x + 5 - 5 = 17 - 5
3
Undo Multiplication & Division
Isolate the variable last to solve.
× ↔ ÷ Both Sides!
3x/3 = 12/3 → x = 4
Integer Helper Dashboard
Add & Subtract
Same Sign: Add & Keep sign.
Diff Sign: Subtract, keep larger.
Multiply & Divide
Same Sign: (+) Pos
Diff Sign: (-) Neg
EQUATION DECODER
The 2-Step Protocol
Desk Card
1
Draw the Balance Line
"The Wall"
Drop a vertical line from the =. Keep both sides balanced!
3x + 5 | = 17
2
Undo Addition & Subtraction
Eliminate the constant term first using its opposite.
3x + 5 - 5 = 17 - 5
3
Undo Multiplication & Division
Isolate the variable last to solve.
× ↔ ÷ Both Sides!
3x/3 = 12/3 → x = 4
Integer Helper Dashboard
Add & Subtract
Same Sign: Add & Keep sign.
Diff Sign: Subtract, keep larger.
Multiply & Divide
Same Sign: (+) Pos
Diff Sign: (-) Neg
EQUATION DECODER
The 2-Step Protocol
Desk Card
1
Draw the Balance Line
"The Wall"
Drop a vertical line from the =. Keep both sides balanced!
3x + 5 | = 17
2
Undo Addition & Subtraction
Eliminate the constant term first using its opposite.
3x + 5 - 5 = 17 - 5
3
Undo Multiplication & Division
Isolate the variable last to solve.
× ↔ ÷ Both Sides!
3x/3 = 12/3 → x = 4
Integer Helper Dashboard
Add & Subtract
Same Sign: Add & Keep sign.
Diff Sign: Subtract, keep larger.
Multiply & Divide
Same Sign: (+) Pos
Diff Sign: (-) Neg
Designed by Lenny for Equation Crusaders Topic: Linear Equations • Grade 7-8 Scaffold