Mathematics
nunoelpelotero
67

HELP!!! 1. What is the value of x in the equation −x = 2 − 3x + 6? 8 4 −4 −8 2. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below: Step 1: 2(3x − 4) = 8 + 2x + 4 Step 2: 5x − 6 = 12 + 2x Step 3: 5x − 2x = 12 + 6 Step 4: 3x = 18 Step 5: x = 6 In which step did the student first make an error and what is the correct step? Step 2; 6x − 6 = 2(6 + x + 2) Step 2; 6x − 8 = 12 + 2x Step 3; 5x − 2x = 12 − 6 Step 3; 5x + 2x = 12 + 6 3. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13: Step 1: 4m − 2m + 4 = −1 + 13 Step 2: 4m − 2m + 4 = 12 Step 3: 2m + 4 = 12 Which of these is most likely the next step? 2m = 3 2m = 8 2m = 16 2m = 18

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(1) Answers
anahialvarez646

1. -x = 2 - 3x + 6 -x + 3x = 8 2x = 8 x = 8/2 x = 4 2. Step 1: 2(3x − 4) = 8 + 2x + 4 Step 2: 5x − 6 = 12 + 2x   ←  wrong The correct step: Step 2: 6x − 8 = 12 + 2x 3. The next step is 2m = 8

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