Download Rationals Review

Algebra 2
Rationals Review
Name____________________________________ Period___________
Solve each variation problem.
5
, find an equation relating x and y.
2
1. If y varies inversely as x and y
18 when x
2. If y varies inversely as x and y
6 when x
4 , find y when x
3.
3x 2
, find:
x 4
a) an equation for the vertical asymptote
3. Given the function y
b) an equation for the horizontal asymptote
c) the x-intercept(s)
d) the y-intercept(s)
Graph each function.
4
4. y
x
Simplify each expression.
x2 1
7. 2
x 7x 8
9.
x 2 4x 5
x 2 2x 1
5. y
1
x
6. y
3
8.
10.
3x 12
x
2
7x 12
x 3
x2 9
1
x 5
Algebra 2
Perform the indicated operation.
80x 4 xy
11.
y 3 5x 2
13.
15.
x 2 13x 40 x 2 5x 24
x 3
x 2 2x 15
5x
4x 9
x 8 x
2
5x 24
12.
x 3 6x 2
2x 8 x 2 9
14.
x 2 4x 4
( x 2)
x 3
16.
x 2
5x
x 4x 3 x 2 9
18.
5
2
2
Solve.
17.
19.
2
6
x 2 2x 5
5
x
2
x 6
2
x 3
x 2
20.
3
x
2
3
4
x 3 x 3 x
8
2
9
21. Joe can type twenty texts in 10 minutes. Jim can type the same twenty texts in 15 minutes. How long
will it take them to type the twenty texts together?
22. A kayak can move at a speed of 3 km/hr in still water. Jim kayaked 5 km downstream in a river in
the same time it took to go 2 km upstream. What is the speed of the river?