Name: ________________________________ Date: _______________ Block: _________
Ms. Gallagher
Chapter 8 Test Review
Let x and y vary inversely. Write an equation that related the two variable and
find y when x = 3.
1. x = 1, y = 5
2. x = -4, y = -6
3. x = , y = 18
y = 5/x
y = 24/x
y = 45/x
y = 5/3
y=8
y = 15
On a separate sheet of paper, graph the rational functions and state the domain
and range.
Use Calculator to check!
4.
5.
6.
8.
7.
9.
Perform the Indicated Operations
12.
10.
= (16x3)
y2
3(4x – 1)
(x – 4)(x – 3)
13.
11.
3(x + 4)
(x + 3)
1
(x+3)2
14.
16.
3x2 + 26x + 36
6x(x+3)
-2(2x2 + 3x + 3)
(x+3)(x – 3)(x + 1)
17.
15.
5x2 – 11x – 9
(x+8)(x – 3)
-(x – 3)
6(x + 5)
Solve the Rational Equations
18.
19.
x = -3; x = -5
x=0
21.
20.
x=6
22.
x = 5; x = -2
23.
x = -4
x = -2/3; x = 2
Solve the Following Word Problems.
24. So far this season, a basketball player has made 60 of 75 free-throw attempts.
Write a rational expression that represents the players free-throw percentage if
he makes the next x free-throw shots. How many consecutive shots will the
player have to make in order to have a free-throw percentage of 82%?
Let x = the next x free-throws made
Gives us x = 6.666…
So he needs to make 7 more shots.
25. Find the ratio of the volume of a square based pyramid to the volume of the
inscribed cone. Write you answer in simplest form.
26. If I have 30 starburst and 50% of those starbursts are orange, how many nonorange starbursts do I have to get if I want to have 10% orange starbursts.
Let x = # of non-orange chosen next
Gives us x = 120