Download Review for Chapter 9 Test

Algebra 2 Intensified
Review for Chapter 9 Test
Name:_____________________
Date:_____________ Pd:_____
NonCalculator:
Simplify each expression:
 2cd 
3 2
1)
8c 2 d 5
9 y2 1 1 2 y
3)

2 y 1 3y 1
24a 3 10b 2
2)

5b 3a 4
8 y2  2 y 1 4 y 1
4)

3y
6y
5)
2x2  9x  5 x2  4x  3

8x2  2x 1
4x 1
y
4
 2
9 y  9 y  2 y 1
7)
6n
3

n 3 n3
6)
2
2
1
8)
1
3
x
9)
4 3

x x2
2c
1
 2
c  9 c  6c  9
2
Solve each equation or inequality:
10) 7 x  29 
13) 6 
30
x
8
n
n
11)
n
12  4n
n
n4
n4
14)
5 3 2
 
x 5 x
12)
5 z  2 5 z
2


2
z 4 2 z z 2
State whether each equation represents direct, inverse, or joint variation.
15) xy  10
16) y  12 x
17) y  5 xz
Solve.
18) If y varies directly as x and y  24 when x  8 , find y when x  12 .
19) If x varies inversely as y and y  40 when x  4 , find x when y  20 .
20) Suppose x varies jointly as y and z. If x  50 when y  2 and z  4 , find x when y  6 and z  10 .
21) The volume (V) of a box varies jointly as the length (l), width (w), and height (h). Find h if V  512m 3 ,
l  8m , and w  4 m .
22) If y varies inversely as x and y 
2
when x  10 , what is y when x  15 ?
3
23) If y varies jointly as x and z and y  60 when x  10 and z  3 , find y when x  8 and z  15 .
24) Tomas can do a job in 4 hours. Julia can do the same job in 3 hours. How many hours will it take the two
of them to do the job if they work together?
Calculator:
Graph and hill in all of the blanks.
25) y 
x2
x3
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Find points in
each section:
x
y
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
26) y 
x4
x2  1
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
Find points in
each section:
x
y
27) y 
x 2 8 x  20
x2
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Find points in
each section:
x
y
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
28) y 
2 x 4  10 x3  12 x 2
x2  5x  6
Vertical asymptote(s) ______________
Horizontal asymptote _____________
Oblique asymptote ________________
Hole(s) __________________________
x-intercept(s) _____________________
y-intercept _______________________
Domain _________________________
Find points in
each section:
x
y
Solve each system of equations.
29)
31)
y  3  x2
x2  y 2  9
x 2  y 2  64
x2  y 2  8
30)
x2  2 y 2  1
x  y 1
x 2  y 2  25
32)
4 y  3x