ALGEBRA 2-CHAPTER 8 UNIT PLAN –RATIONAL FUNCTIONS
Skill Targets
Write and
solve a
direct,
inverse,
joint or
combined
variation
equation
Examples: Chapter 8 Evaluation 1
Write and solve the given variation equation .
Suppose “y” varies directly with “x” and inversely with the square root of “z”. If y= 12 when x=3
and and z=4, find “y” when x is 10 and z is 25.
Suppose “a” varies jointly with the square of “b” and “d”. If “a= 24” when “b=2” and “d=4” find
“a” when “b=3” and “d=3”.
Graph inverse
variation
functions and
transformation
of inverse
variation
functions.
Graph the following function:
y
2
3
x 1
make sure to include asymptotes with
your graph and write equations of asmptotes
.
Equations of Asymptotes:
1
ALGEBRA 2-CHAPTER 8 UNIT PLAN –RATIONAL FUNCTIONS
.Simplify,
multiply and
divide
algebraic
fractions and
list restrictions
of answer.
Simplify
Multiply
–list any restrictions
- list any restrictions
3 x 2  12
x2  x  6
2 x  4 15 x 2

10 x x  2
Skill Targets
-list any restrictions
x 2  3x  10
x2  5x  6

2 x 2  11x  5 2 x 2  7 x  3
Chapter 8 Evaluation -2
Add and/or
subtract
Algebraic
Fractions with
unlike
denominators
Add and/or subtract the following
Simplify
complex
fracions
Simplify the following Fraction
3
4

2
7 x y 21xy 2
3
5
x
2
x 1
Solve
Algebraic
equations
involving
rational
expressions.
Divide
3
2
 2
x  x  6 x  6x  5
6
3y
1


y  5 y 4 y  20 4
2
2
4
x 1
3
2
x 1
Solve the following equations and check for extraneous solutions.
x x 1 x 1


3 15
5
4
5

x 1 x  2
2