Simultaneous Round Table Role Answers
Solve the Equation:
2(3𝑥 − 4) =
1
6
(𝑥 − 3). Use the following first step:
Student 1: Distribute the 2.
Student 2: Divide by 2.
Student 3: Multiply by 6.
Student 4: Distribute
1
6
Answers will vary, following are possible answers:
Student 1:
Step
Reason
2(3𝑥 − 4) =
1
(𝑥 − 3)
6
1
6x – 8 = 6 (𝑥 − 3)
6(6x -8) = x - 3
36x – 48 = x - 3
35x – 48 = -3
35x = 45
X=
45
35
𝑥=
Student 2:
9
7
Step
2(3𝑥 − 4) =
1
12(3x – 4) = x-3
36x – 48 = x -3
35x – 48 = -3
35x = 45
45
35
Distributive Property
Multiplication Property of Equality
Distributive Property
Subtraction (or Addition) Property of Equality
Addition Property of Equality
Division (or multiplication) Property of Equality
Simplify
Reason
(𝑥 − 3)
6
1
3x – 4 = 12(x – 3)
X=
Given
Given
Division (or multiplication) property of equality
Multiplication Property of Equality
Distributive Property
Subtraction (or Addition) Property of Equality
Addition Property of Equality
Division (or multiplication) Property of Equality
𝑥=
9
7
Simplify
Student 3:
Step
2(3𝑥 − 4) =
Reason
1
(𝑥 − 3)
6
12 (3x – 4) = x – 3
36x – 48 = x -3
35x – 48 = -3
35x = 45
X=
45
Given
Multiplication Property of Equality
Distributive Property
Subtraction (or Addition) Property of Equality
Addition Property of Equality
Division (or multiplication) Property of Equality
35
9
7
Simplify
Step
Reason
𝑥=
Student 4:
2(3𝑥 − 4) =
1
(𝑥 − 3)
6
1
1
2 (3x – 4) = 6x - 2
1
1
6x – 8 = 6x - 2
1
1
6𝑥 − 𝑥 = 8 −
6
2
35
15
𝑥=
6
2
90
𝑥=
70
9
𝑥=
7
Given
Distributive Property
Distributive Property
Addition Property of Equality
Simplify
Multiplication Property of Equality
Simplify