Inverse, Joint, and Combined Variation
The variable y varies inversely as x, and y = 22.5 when x = 6.2.
a. Find the constant of variation, and write the equation for the relationship.
b. Find y when x is .1, .2, .3, .4 and .5.
1. a. Write an equation for the volume, V, of the rectangular prism shown below. Identify the
type of variation, the variables involved, and the constant of variation. (The volume of a
rectangular prism is V = lwh
b.
h
Find the volume if the length is 5.5 cm and the height is 3 cm.
4
l
cm
Rational Functions and Their Graphs
1.
x 2 − 4 x − 21
Find the domain of h( x) = 2
.
x − 9 x − 36
Identify all holes and asymptotes in the graph of each rational function.
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Find the LCD for the set of polynomials.
Solving Rational Equations and Inequalities
Radical Expressions and Radical Functions
Simplifying Radical Expressions
Solving Radical Equations and Inequalities
Solving Radical Equations
1. If possible, isolate radical expression on one side.
2. Raise the expression on each side to the appropriate power.
3. Repeat, if necessary, to get rid of all the radicals
4. Solve.
5. Check for extraneous solutions !!