Add/Subtract Rational Functions
Multiply/Divide Rational Functions
Function Characteristics
Sequesce & Series
Textbook Question Ch8.1
100
Simplify the following rational:
\frac{2}{7}+\frac{4}{7}
What is,
\frac{6}{7}?
100
Simplify the following rational:
\frac{2}{7}\cdot\frac{4}{7}
What is,
\frac{8}{49}?
100
What is a vertical asymptote?
f(x)=\frac{x+5}{x+3}
What is, yes, the equation is
x=-3?
100
Write a rule for the nth term of each
sequence.
7, 10, 13, 16, …
3n+4
100
Textbook P.415 #27
D
200
Simplify the following rational:
\frac{2}{3}+\frac{5}{6}
What is,
\frac{9}{6}
200
Simplify the following rational:
\frac{2}{6}\div\frac{5}{6}
What is,
\frac{2}{5}?
200
Double Points: What's the horizontal asymptote?
f(x)=\frac{5x+6}{3x+1}
What is, yes, the equation is x=5/3
200
One term of an arithmetic sequence is a19 = −45. The common difference is d = −3.
Write a rule for the nth term.
-3n+12
200
Textbook P.415 #28
C
300
Subtract the following rational functions:
What is,
\frac{-9x+1}{3}?
300
Multiply the following rational functions:
What is,
1?
300
Where is the x-intercept for the following function. Give your answer in ordered pair form.
f(x)=\frac{5x-15}{10x+30}
(3,0)
300
a7 = 71, a16 = 26
Write a rule for the nth term of the arithmetic sequence.
an=−5n + 106
300
Textbook P.415 #29
Write a rule for the number of people
that can be seated around n tables arranged in this
manner.
4n+2
400
Add the following rational functions
What is,
\frac{19}{12x}?
400
Multiply the following:
\frac{2x(x-3)}{x+2}\cdot\frac{x+2}{x}
What is,
2x-6?
400
State where the function has a horizontal asymptote.
f(x)=\frac{3x^2+5x+6}{5x^2+2}
What is,
\frac{3}{5}?
400
Find the sum.
35
Sigma 3n-13
n=1
1,435
400
Textbook P.416 #56
Write a rule for the number of people
that can be seated around n tables arranged in this
manner.
n2
500
Add the following rational functions:
\frac{3}{(x+2)(x-2)}+\frac{2}{(x-2)_{}}
What is,
{2x+7}/{(x+2)(x-2)}?
500
Double Points: Multiply the following,
\frac{x+7}{x+8}\cdot\frac{x^2+x-56}{x^2-49}
What is,
1?
500
Where is the y-intercept for the following function. Give your answer in ordered pair form.
f(x)=\frac{2025x^2+2000x+98}{1998x+49}
What is,
(0,2)?
500
Find the sum.
45
Sigma 3n-9
n=4
2,709
500
Textbook P.415 #55
Write a rule for the number of soccer balls in
each layer.
(n)(n+1)/2