Check my algebra

1. 4-t=3(t-1)-5
a. 3
b. 6
c. no solution (my answer)
d. identity

2. 8x-2(x+1)=2(3x-1)
a. 0
b. 2
c. no solution
d. identity(my answer)

3. 3(c-2)=2(c-6)
a. 2
b. -6(my answer)
c. no solution
d. identity

4. 0.5(m+4)=3(m-1)
a.-2
b. 2(my answer)
c. no solution
d. identity

!

1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3

2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.

3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
c = -6

4.) 0.5(m + 4) = 3(m - 1)
0.5m + 2 = 3m - 3
3m - 0.5m = 2 + 3
2.5m = 5
m = 5/2.5 = 2
m = 2

Answers: the graph is translated down 1 unit and the domain and range of g(x) is the same as the domain and range of f(x).