1. 6/(2u^2-2u)-7/(2u-2)
6  7u
2u (u  1)
2. The speed of train A is 10 mph slower than the speed of train B. Train A travels 190 miles in the same
time? it takes train B to travel 240 miles. Find the speed of train A and train B.
Train A speed = 38mph; train B speed = 48mph.
3. Divide and simplify (-56+7x)/5 divided by (121x-968)/25
56  7 x
7(8  x)
7


968  121x 121(8  x) 121
4. Simplify by removing factors of 1 (x^2-4)/(2-x)
-x-2
5. Solve x/(x+6)-6/(x-6)=(x^2+36)/(x^2-36) the solution is x=
Solving this, we get x = -6 but this is not solution as expression becomes infinite at this value. Hence,
there is no solution.
6. Divide and simplify (x^2-9)/x divided by (x-3)/(x+2) type a fraction .leave in factored form
( x  3)( x  2)
x
7. Simplify by removing factors of 1 80u^9z^7/50u^5z^2
18 4 5
u z
5
8. Solve (z-7)/(z-8)=1/(z-8) the solution is z=
No solution
9. Simplify by removing factors of 1 (5s^2+7s)/(35s+49s)
1/7
10. Find the LCM 10c^2b^8,5c^6b^4,14c^6b^8 the LCM is
70c6b8
11. Add simplify if possible (r+y)/(ry^2)+(2r+y)/(r^2y)
r 2  3ry  y 2
r 2 y2
12. Divide and simplify (Z^2-36)/z divided by (z+6)/(z+3)
( z  6)( z  3)
z
13. Subtract simplify if possible (1-v)/(v-7)-(4v-5)/(7-v)
3v  4
v7
14. Multiply and simplify (6a^5)/(5t^2)*(25t^4)/36a
5a 4t 2
6
15. Add simplify if possible 7v/(v^2-81)+v/(v-9)
v(v  15)
v 2  81
16. Solve T= 2/t=-3
-2/3
17. Find all numbers for which the rational expression is undefined -(12/5v) the rational expression is
not defined for v= 0.
18. Add simplify if possible 3/(v-9)+6/(v-9)^2
3(v  7)
(v  9) 2
19. Find the LCM of (5+4s),(25-16s^2), and (5-4s)
(25-16s2)
20. Add 9/(8+x)+6/(8+x)=
15
8 x
21. Solve (Y-9)/(y+5)=4/7 the solution is Y=
83
3