COLLEGE ALGEBRA
FINAL EXAM REVIEW - OLD STUFF
Read the directions carefully. I want you to SHOW YOUR WORK for each
problem. A solution, even a correct solution, will not receive full credit if there is
no support work or explanation. Partial credit is always considered, so showing
your work is to your advantage.
1.2
Formulas and Applications
 Be able to solve a formula for a particular variable.
 Be able to solve an applied problem, given a formula.
 Be able to solve applied problems related to geometry and similar triangles.
 Be able to solve applied problems related to business and investment.
 Be able to solve applied problems related to mixture and motion.
 Be able to solve applied problems related to work.
1.5
Inequalities
 Be able to solve a single linear inequality be able to give the solution graphically, using set
notation or interval notation.
 Be able to solve 2 linear inequalities be able to give the solution graphically, using set
notation or interval notation.
 Be able to solve absolute value inequalities and be able to give the solution graphically,
using set notation or interval notation.
 Be able to solve polynomial inequalities and be able to give the solution graphically, using
set notation or interval notation.
 Be able to solve rational inequalities and be able to give the solution graphically, using set
notation or interval notation.
 Be able to solve applied problems that involve inequalities.
2.1
Two-Dimensional Coordinate System and Graphs
 Be able to graph points on a two-dimensional coordinate system.
 Be able to find the distance between two points.
 Be able to find the midpoint between two points.
 Be able to graph linear, quadratic and absolute value functions.
 Be able to graph a function by plotting points (using a table of values).
 Be able to find the standard form of a circle given certain information.
 Be able to convert the equation of a circle to standard form and find the center and radius.
3.2
Polynomial Functions of Higher Degree
 Be able to determine the far-left and far-right behavior of a polynomial function.
 Be able to find the relative maximum(s) and relative minimum(s) of a polynomial function
using your calculator.
 Be able to find the real zeros of a polynomial by factoring.
 Be able to use the Intermediate Value Theorem to show that a polynomial has a zero between two

given values of x.
Be able to determine whether the graph of a function passes through the x-axis or not at an
x-intercept.
 Be able to sketch the graph of a polynomial that is given in factored form.
3.4
Fundamental Theorem of Algebra
 Be able to find all of the zeros of a polynomial, (first find any rational zeros by graphing the
polynomial on your calculator and using the Rational Zero Theorem and synthetic division),
and write the polynomial as a product of linear factors.
 Be able to use known zeros (including complex zeros) and synthetic division to factor a
polynomial function and find its zeros.
 Be able to find the complex zeros of a polynomial.
 Be able to use information about the degree of a polynomial and its zeros, including
multiplicity, to find the general equation of the polynomial. (Note: If additional information
is given, a particular equation can be found.)
Chapter 1 Review (p. 148) 9, 11, 41, 43, 45, 47, 51, 53, 55, 59, 65, 67, 69, 71
Chapter 1 Test (p. 151) 14, 15, 16, 17, 18, 19, 20, 21
Chapter 2 Review (p. 253) 1, 2, 3, 5, 7, 9, 13, 14, 15, 16
Chapter 2 Test (p. 257) 1, 3, 4
Chapter 3 Review (p. 328) 13 – 19 odd, 37, 39, 43 – 49 odd