Math  /  Algebra

Question1. Two students both solved the equation 4(x0.5)=6-4(x-0.5)=6 incorrectly. The work of each student is shown.
Student A's Work: 4(x0.5)=6-4(x-0.5)=6
Step 1: 4x2=6-4 x-2=6 Step 2: 4x=8-4 x=8 Step 3: x=2x=-2 Student B's Work: 4(x0.5)=6-4(x-0.5)=6
Step 1: 4x+2=6-4 x+2=6 Step 2: 4x=8-4 x=8 Step 3: x=2x=-2 In which step of their work did Student A and Student B make their first mistake? A Student A made their first mistake in Step 1 and Student B made their first mistake in Step 1. B Student A made their first mistake in Step 1 and Student B made their first mistake in Step 2. C Student A made their first mistake in Step 2 and Student B made their first mistake in Step 1. D Student A made their first mistake in Step 2 and Student B made their first mistake in Step 2

Studdy Solution
Analyze Student B's Step 2: - From the correct Step 1: 4x+2=6-4x + 2 = 6. - Subtract 2 from both sides: 4x=4-4x = 4.
Student B's Step 2: 4x=8-4x = 8 is incorrect because the subtraction was done incorrectly.
The correct answer choice is:
C Student A made their first mistake in Step 1 and Student B made their first mistake in Step 2.

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