Variable Showdown Worksheet
Trio Activity • Set A
Variable Showdown
Solving Linear Equations with Variables on Both Sides
Trio Match Rule All 3 teammates get the same answer!
Name:
Date:
Teammate B:
Teammate C:
Trio Protocol: Solve each equation below showing all inverse operations. After completing each problem, compare your solution with Teammates B and C. All three answers must match! If there is a disagreement, examine each person's work together to locate and correct the error.
#1
\(5x = 2x + 12\)
Level 1
Set A Solution:
\(x =\)
#2
\(8x + 3 = 5x + 21\)
Level 1
Set A Solution:
\(x =\)
#3
\(6x + 25 = 2x + 13\)
Level 2
Set A Solution:
\(x =\)
#4
\(10x - 17 = 3x + 18\)
Level 2
Set A Solution:
\(x =\)
#5
\(-3x + 8 = 2x + 33\)
Level 3
Set A Solution:
\(x =\)
#6
\(14 - 2x = 38 - 5x\)
Level 3
Set A Solution:
\(x =\)
#7
\(-6x - 11 = -2x - 3\)
Level 4
Set A Solution:
\(x =\)
#8
\(12x - 29 = 5x + 20\)
Level 4
Set A Solution:
\(x =\)
Trio Match:
1 2 3 4 5 6 7 8
Check each circle once all 3 teammates verify matching answers.
Trio Activity • Set B
Variable Showdown
Solving Linear Equations with Variables on Both Sides
Trio Match Rule All 3 teammates get the same answer!
Name:
Date:
Teammate A:
Teammate C:
Trio Protocol: Solve each equation below showing all inverse operations. After completing each problem, compare your solution with Teammates A and C. All three answers must match! If there is a disagreement, examine each person's work together to locate and correct the error.
#1
\(7x - 16 = 3x\)
Level 1
Set B Solution:
\(x =\)
#2
\(4x + 19 = 2x + 31\)
Level 1
Set B Solution:
\(x =\)
#3
\(9x + 40 = 4x + 25\)
Level 2
Set B Solution:
\(x =\)
#4
\(2x + 27 = 8x - 3\)
Level 2
Set B Solution:
\(x =\)
#5
\(7x + 12 = 3x - 8\)
Level 3
Set B Solution:
\(x =\)
#6
\(9x - 45 = 4x - 5\)
Level 3
Set B Solution:
\(x =\)
#7
\(13 - 4x = 29 + 4x\)
Level 4
Set B Solution:
\(x =\)
#8
\(25 - 3x = 60 - 8x\)
Level 4
Set B Solution:
\(x =\)
Trio Match:
1 2 3 4 5 6 7 8
Check each circle once all 3 teammates verify matching answers.
Trio Activity • Set C
Variable Showdown
Solving Linear Equations with Variables on Both Sides
Trio Match Rule All 3 teammates get the same answer!
Name:
Date:
Teammate A:
Teammate B:
Trio Protocol: Solve each equation below showing all inverse operations. After completing each problem, compare your solution with Teammates A and B. All three answers must match! If there is a disagreement, examine each person's work together to locate and correct the error.
#1
\(9x - 15 = 5x + 1\)
Level 1
Set C Solution:
\(x =\)
#2
\(7x - 10 = 3x + 14\)
Level 1
Set C Solution:
\(x =\)
#3
\(8x + 31 = 3x + 16\)
Level 2
Set C Solution:
\(x =\)
#4
\(6x - 11 = 2x + 9\)
Level 2
Set C Solution:
\(x =\)
#5
\(5x - 7 = 8x + 8\)
Level 3
Set C Solution:
\(x =\)
#6
\(6x + 5 = 8x - 11\)
Level 3
Set C Solution:
\(x =\)
#7
\(-5x + 6 = 20 + 2x\)
Level 4
Set C Solution:
\(x =\)
#8
\(4x + 15 = 8x - 13\)
Level 4
Set C Solution:
\(x =\)
Trio Match:
1 2 3 4 5 6 7 8
Check each circle once all 3 teammates verify matching answers.
Variable Showdown Answer Key
Teacher Reference • Trio Answer Key
Variable Showdown Key
Triad Step-by-Step Solutions • Problems 1 through 4
Grade 8 Math
3-Way Group Activity
Problem 1 Level 1 • Two-Step Isolating
Trio Target: \(x = 4\)
Set A \(5x = 2x + 12\)
− Subtract \(2x\):
\(3x = 12\)
− Divide by \(3\):
\(\mathbf{x = 4}\)
Set B \(7x - 16 = 3x\)
− Subtract \(3x\), add \(16\):
\(4x = 16\)
− Divide by \(4\):
\(\mathbf{x = 4}\)
Set C \(9x - 15 = 5x + 1\)
− Subtract \(5x\), add \(15\):
\(4x = 16\)
− Divide by \(4\):
\(\mathbf{x = 4}\)
Problem 2 Level 1 • Standard Multi-Step
Trio Target: \(x = 6\)
Set A \(8x + 3 = 5x + 21\)
− Subtract \(5x\), subtract \(3\):
\(3x = 18\)
− Divide by \(3\):
\(\mathbf{x = 6}\)
Set B \(4x + 19 = 2x + 31\)
− Subtract \(2x\), subtract \(19\):
\(2x = 12\)
− Divide by \(2\):
\(\mathbf{x = 6}\)
Set C \(7x - 10 = 3x + 14\)
− Subtract \(3x\), add \(10\):
\(4x = 24\)
− Divide by \(4\):
\(\mathbf{x = 6}\)
Problem 3 Level 2 • Negative Integer Target
Trio Target: \(x = -3\)
Set A \(6x + 25 = 2x + 13\)
− Subtract \(2x\), subtract \(25\):
\(4x = -12\)
− Divide by \(4\):
\(\mathbf{x = -3}\)
Set B \(9x + 40 = 4x + 25\)
− Subtract \(4x\), subtract \(40\):
\(5x = -15\)
− Divide by \(5\):
\(\mathbf{x = -3}\)
Set C \(8x + 31 = 3x + 16\)
− Subtract \(3x\), subtract \(31\):
\(5x = -15\)
− Divide by \(5\):
\(\mathbf{x = -3}\)
Problem 4 Level 2 • Subtraction Operations
Trio Target: \(x = 5\)
Set A \(10x - 17 = 3x + 18\)
− Subtract \(3x\), add \(17\):
\(7x = 35\)
− Divide by \(7\):
\(\mathbf{x = 5}\)
Set B \(2x + 27 = 8x - 3\)
− Subtract \(2x\), add \(3\):
\(30 = 6x\)
− Divide by \(6\):
\(\mathbf{x = 5}\)
Set C \(6x - 11 = 2x + 9\)
