Answer:
1). A
2). B and C
3). C
4). A
5). B
6). A
7). D
8). B
Step-by-step explanation:
1. 5x - x = 32
4x = 32
x = [tex]\frac{32}{4}[/tex]
x = 8
Option A. is the answer.
2. 8x - 11 = -2x + 15 - 5
8x + 2x = 15 - 5 + 11
10x = 21
x = [tex]\frac{21}{10}[/tex]
x = 2.1
Options B and C are the correct options.
3). -a = 3a + 8
-a - 3a = 8
-4a = 8
a = - [tex]\frac{8}{4}[/tex]
a = -2
Option C. is the answer.
4). -2x + 6 = 4x
6 = 4x + 2x
6 = 6x
x = 1
Option A. is the answer.
5). 15 - 3.7m = 12.84 - 2.5m
15 - 12.84 = 3.7m - 2.5m
2.16 = 1.2m
m = [tex]\frac{2.16}{1.20}[/tex]
m = 1.8
Option B is the answer.
6). 0.75x + 3 = 4.5
0.75x = 4.5 - 3
0.75x = 1.5
x = [tex]\frac{1.5}{0.75}[/tex]
x = 2
Option A is the answer.
7). 5(3m - 2 + 4m) = 5m + 62 - 6m
15m - 10 + 20m = 5m - 6m + 62
15m + 20m - 5m + 6m = 10 + 62
36m = 72
m = [tex]\frac{72}{36}[/tex]
m = 2
Option D. is the answer.
8). 3(2m - 9 + 6m) = 3m + 29 - 7m
6m - 27 + 18m = 3m - 7m + 29
24m - 27 = -4m + 29
24m + 4m = 29 + 27
28m = 56
m = [tex]\frac{56}{28}[/tex]
m = 2
Option B. is the answer
