Question

HELP PLEASE ASAP!!!!!!!!!!!!

1. 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

2. 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

3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?

Two
Many
None
One

Answer 1

Step 2; 6x − 8 = 12 + 2x

Step-by-step explanation:

Step 1: Write the equation

Step 2: Apply distributive property to the left side and sum the constants to the right side

Step 3: Subtract 2x from both sides and add 8 to both sides:

Step 4: Divide both sides by 4:

Answer 2

1. Step 2 : 6x - 8 = 12 + 2x
2. 2m = 8
3. Two