12. (08.05 HC)
The work of a student to solve a set of equations is shown:

Equation 1: m = 8 + 2n
Equation 2: 3m = 4 + 4n

Step 1: –3(m) = –3(8 + 2n) [Equation 1 is multiplied by –3.]
3m = 4 + 4n [Equation 2]
Step 2: –3m = –24 – 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]
Step 3: –3m + 3m = –24 – 6n + 4n [Equations in Step 2 are added.]
Step 4: 0 = –24 – 2n
Step 5: n = –12


In which step did the student first make an error? (1 point)


Step 4
Step 3
Step 2
Step 1


13. (08.06 LC)
Variable g is 8 more than variable w. Variable g is also 4 less than w. Which pair of equations best models the relationship between g and w? (1 point)


g= w – 8
g = w + 4
w = 8g
w = g – 4
g= w + 8
g = w – 4
w = 8g
w = g + 4