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Quiz Chpt 8 Sects 2-6

Total questions: 25

Worksheet time: 33mins

Name
Class
Date
1.
What is the Horizontal Asymptote? 
a)
y= 5
b)
y= -6
c)
y= 1
d)
y= 5/-6
2.
What is the Horizontal Asymptote?
a)
y= 0
b)
y= 4
c)
y= 5
d)
y= -5
3.
What is the Horizontal Asymptote?
a)
y= 6
b)
y= 2
c)
y= 1
d)
y= 0
4.
a)
A
b)
B
c)
C
d)
D
5.
What are the asymptotes
a)
x=1, x= 2, y =1, y= 2
b)
x= 1, x=-1, y = 1
c)
x=1 y =1
d)
x=-1, y =1, y =-1
6.
What is the horizontal asymptote of the function?
a)
y=0
b)
y=1/3
c)
none
7.

Find the horizontal asymptote:

a)

y = 0

b)

y = 1

c)

None

d)

y = 3/2

8.

Referring to f(x)=  1x\frac{1}{x}  how does f(x) =  1x+3\frac{1}{x+3}  translate?. 

a)

Translate right 3

b)

Translate up three

c)

Translate left three

d)

Translate down three

9.

Referring to f(x) =  1x\frac{1}{x}  which function translates down 6 units?

a)

F(x) = 1x−6\frac{1}{x-6}  

b)

F(x) = 1x−6\frac{1}{x}-6  

c)

F(x) = 1x+6\frac{1}{x+6}  

d)

F(x) = 1x+6\frac{1}{x}+6  

10.

Referring to f(x) =  1x\frac{1}{x}  how does f(x) =   1x−4+1\frac{1}{x-4}+1 Translate. 

a)

Translates left 4 units and up 1 unit.

b)

Translates left 4 units and down 1 unit.

c)

Translates right 4 units and up 1 unit.

d)

Translates right 4 units and down 1 unit.

11.

Simplify  7n3n−18+n+33\frac{7n}{3n-18}+\frac{n+3}{3}  

a)

 8n+33n−15\frac{8n+3}{3n-15}  

b)

 n2+4n−183(n−6)\frac{n^2+4n-18}{3\left(n-6\right)}  

c)

 7(n+3)3(3n−18)\frac{7\left(n+3\right)}{3\left(3n-18\right)}  

d)

 7n+n+33n−18+3\frac{7n+n+3}{3n-18+3}  

12.

Simplify 8nn−3+3n5n−6\frac{8n}{n-3}+\frac{3n}{5n-6}  

a)

 43n2−9(5n−6)(n−3)\frac{43n^2-9}{\left(5n-6\right)\left(n-3\right)}  

b)

 11n6n−9\frac{11n}{6n-9}  

c)

 43n2−57n(n−3)(5n−6)\frac{43n^2-57n}{\left(n-3\right)\left(5n-6\right)}  

d)

 8n+3nn−3+5n−6\frac{8n+3n}{n-3+5n-6}  

13.

 4xx−5−3x−6\frac{4x}{x-5}-\frac{3}{x-6}  Simplify

a)

 4x2−27x+15(x−6)(x−5)\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}  

b)

 4x−32x+1\frac{4x-3}{2x+1}  

c)

 4x2−27x+21(x−6)(x−5)\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}  

d)

 4x2+21x+15(x−5)(x+6)\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}  

14.

Simplify  1n+5×n2+2n−15n−8\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}  

a)

 n−3n−8\frac{n-3}{n-8}  

b)

 n−3(n+5)(n−8)\frac{n-3}{\left(n+5\right)\left(n-8\right)}  

c)

 n2+2n−15(n+5)(n−8)\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}  

d)

 n2+2n−142n−3\frac{n^2+2n-14}{2n-3}  

15.

 2a−206a×a−9a−10\frac{2a-20}{6a}\times\frac{a-9}{a-10}  Simplify

a)

 2a2−1806a2−60a\frac{2a^2-180}{6a^2-60a}  

b)

 2(a−9)6a\frac{2\left(a-9\right)}{6a}  

c)

 a−93a\frac{a-9}{3a}  

d)

 3a−297a−10\frac{3a-29}{7a-10}  

16.

 m2+m−30m2+13m +42÷m−2m+7\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}  Simplify

a)

 m−5m−2\frac{m-5}{m-2}  

b)

 (m−5)(m−2)(m+7)2\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}  

c)

 m2+2m−32m2+14m+49\frac{m^2+2m-32}{m^2+14m+49}  

d)

 −52m2\frac{-5}{2m^2}  

17.

 28m3−64m2÷18m2\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}  

a)

 2m−64m2\frac{2}{m-64m^2}  

b)

 16m28m2(m−8)\frac{16m^2}{8m^2\left(m-8\right)}  

c)

 264m4(m−8)\frac{2}{64m^4\left(m-8\right)}  

d)

 2m−8\frac{2}{m-8}  

18.

 x+1x21x+x+1x\frac{\frac{x+1}{x^2}}{\frac{1}{x}+\frac{x+1}{x}}  Simplify

a)

 x+1x2x+2x\frac{\frac{x+1}{x^2}}{\frac{x+2}{x}}  

b)

 x+1x(x+2)\frac{x+1}{x\left(x+2\right)}  

c)

 2x+2x(x+2)\frac{2x+2}{x\left(x+2\right)}  

d)

 1x\frac{1}{x}  

19.

 15n2+25n=n+5n2\frac{1}{5n^2}+\frac{2}{5n}=\frac{n+5}{n^2}  Solve. Check for extraneous solutions.

a)

 n = 4n\ =\ 4  

b)

 n = 8n\ =\ 8  

c)

 n = 2n\ =\ 2  

d)

 n=−8n=-8  

20.

 16x+16=12x\frac{1}{6x}+\frac{1}{6}=\frac{1}{2x}  Solve. Check for extraneous solutions.

a)

 x = 2x\ =\ 2  

b)

 x = 3x\ =\ 3  

c)

 x = 0x\ =\ 0  

d)

 x = 1x\ =\ 1  

21.

 6x−3−1x2+3x−18=1x−3\frac{6}{x-3}-\frac{1}{x^2+3x-18}=\frac{1}{x-3}  

a)

 529\frac{5}{29}  

b)

 −295-\frac{29}{5}  

c)

 295\frac{29}{5}  

d)

3

22.

 4+(x2+x+13)2x=(x−3)2x4+\frac{\left(x^2+x+13\right)}{2x}=\frac{\left(x-3\right)}{2x}  

a)

4

b)

 14\frac{1}{4}  

c)

-4

d)

8

23.

 1x−8+1x2+x−72=6x−8\frac{1}{x-8}+\frac{1}{x^2+x-72}=\frac{6}{x-8}  

a)

 445\frac{44}{5}  

b)

 −445-\frac{44}{5}  

c)

 221\frac{22}{1}  

d)

 −221-\frac{22}{1}  

24.

 1x−8+1x2−x−56=7x−8\frac{1}{x-8}+\frac{1}{x^2-x-56}=\frac{7}{x-8}  

a)

 −416-\frac{41}{6}  

b)

 203\frac{20}{3}  

c)

 416\frac{41}{6}  

d)

 −41-41  

25.

 2a−206a×a−9a−10\frac{2a-20}{6a}\times\frac{a-9}{a-10}  Simplify

a)

 2a2−1806a2−60a\frac{2a^2-180}{6a^2-60a}  

b)

 2(a−9)6a\frac{2\left(a-9\right)}{6a}  

c)

 a−93a\frac{a-9}{3a}  

d)

 3a−297a−10\frac{3a-29}{7a-10}