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Error Analysis in Algebraic Reasoning
Worksheet
Grade Level
Grade 7
7.94 Error Analysis in Algebraic Reasoning
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🔴 Hard
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Problem: Solve for t: 5(2t + (4)) = 4(3t + (6)) Student's work: 1) 5(2t + (4)) = 4(3t + (6)) 2) 10t + (4) = 4(3t + (6)) 3) 10t + (4) = 12t + (24) 4) 10t - 12t = (24) - (4) 5) -2t = 20 6) t = -10 Which option identifies the first incorrect step and gives the corrected step?
A
Step 2 is the first incorrect step. Corrected Step 2: 10t - (20) = 4(3t + (6))
B
Step 3 is the first incorrect step. Corrected Step 3: 10t + (20) = 12t + (24)
C
Step 6 is the first incorrect step. Corrected Step 6: t = -2
D
Step 2 is the first incorrect step. Corrected Step 2: 10t + (20) = 4(3t + (6))
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