Test: Linear equations II - Challenging

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Question 1:   Solve   1 2 x1= 1 3 x
1 6
6
6
1 6
Question 2:   Solve   x3 3 2x 9 =2
27
27
0
1
Question 3:   Solve   1+ x+17 5 = 3x7 4
11 2 11
11 2 11
11 123
11 123
Question 4:   From two sites collected   46kg   of tomato. How many vegetables were collected from each plot if the second harvested   6kg   more than the first?
16kg   and   30kg
16kg   and   26kg
10kg   and   36kg
20kg   and   26kg
Question 5:   Father is   35   years old and the son is   12   years old. In how many years father will be twice as old as the son?
11   years
2   years
10   years
12   years
Question 6:   The boat traveled the distance between the two marinas for   2   hours and back for   3   hours. The current speed is   2 km h  .  Find the speed of the boat.
12 km h
11 km h
15 km h
10 km h
Question 7:   Solve   2x =8
4
0
4   and   4
4
Question 8:   Solve   53x =9
1 1 3   and   4 2 3
1 1 3
4 2 3
1 1 3   and   4 2 3
Question 9:   Solve the equation   x 4 =1
x=5 x=3

x=5 x=3

x=5 x=3

x=5 x=5 x=3 x=3

Question 10:   For which values of   a   expression   ax=4+a   have no roots?
4
0
1
4