Zaluckyj – AAT(H)
Name: _________________________________
FINAL EXAM REVIEW
Date: _____________________ Period: _______
Some things to remember when studying for the final exam:
1. This final exam will have 3 parts:
a. Written – NON CALC portion: 30 minutes on Tuesday 12/17/13
b. Multiple Choice and Written – CALC portions: 75 minutes on 12/18, 12/19 or 12/20/13
2. In addition to these example problems, you should also review all previous tests, quizzes, & Progress
Checks as well as the midterm (Unit 1 parts A and B).
3. This final exam will cover all of the topics in Unit 1 and Unit 2.
Final Exam Review Book Problems
Unit 1 Part A: Simplifying Expression & Solving Equations & Inequalities
Unit 1 Part B: Functions and their Graphs
For Unit 1, use the abbreviated midterm review listed below:
 pg. 70 #27 – 40, 47 – 49, 55 – 64, 67 – 78
 pg. 165 #5 – 12, 21 – 28, 43 – 46, 99 – 100, 111, 112, 121 – 130 (write your answers in interval notation), 132, 150
 pg. 253 #23 – 28, 39 – 51, 55 – 65 (skip 62, 64), 69, 71, 72, 81, 83, 84, 97, 98, 100, 101, 107 – 112, 115 – 122
Unit 2 Part A: Quadratic Functions



pg. 167 #65 – 74, 77 – 94
pg. 255 #81
pg. 326 #3 – 12, 15 – 18, 20, 21, 23
Unit 2 Part B: Polynomial Functions of Higher Degree



pg. 167 #95, 97, 98
pg. 255 #62, 64, 66 – 68, 82
pg. 327 #25 – 30, 31 – 34, 36 – 44, 49 – 60, 63 – 82
Unit 2 Part C: Rational Functions




pg. 71 #79 – 84
pg. 167 #107 – 110
pg. 255 #85, 86
pg. 376 #1 – 10, 13 – 30 (identify excluded values, VA, HA, SA, Holes, domain, range, y-int, zeros and graph).
Unit 2 Part D: Exponential and Logarithmic Functions


pg. 168 #145
pg. 437 #7 – 13, 15 – 26, 31 – 34, 35, 36, 38 – 58, 65 – 68, 71 – 74, 79 – 85, 87 – 94, 97 – 112, 119 – 130, 135, 145 – 148,
153, 154
Learning Targets for Semester 1 Final Exam 2013
Essential Questions: Think of these EQs as you are studying for the midterm.











What is the important information?
What do I need in order to start the problem?
How is this similar or different from what I have done before?
What can I do to retain what I have learned?
How can I use this and how does it apply to my life?
How do I remember this?
Do I need help and where do I go to find it?
How would a calculator make this problem easier to do?
How do I tell which method to use and how do I apply it?
Is there another way to do the problem and which is better?
What should this function look like?
Learning Targets: These are all of the LTs that have appeared in Unit 1 and Unit 2. They are all fair game, though it would be
impossible for all LTs to appear on the final exam. I would recommend using this as a checklist of skills to help you identify the
topics you need help on, and the topics in which you are confident.















































1.A.1: solve equations in one variable.
1.A.4: solve one-variable inequalities and graph the solution set.
1.A.5: solve one-variable absolute value inequalities and graph the solution set.
1.A.2: find x- and y-intercepts of graphs algebraically.
1.A.3: use linear equations to model and solve real life problems.
1.A.6: use properties of exponents.
1.A.7: use scientific notation to represent real numbers.
1.A.11: use properties of rational exponents.
1.A.8: use properties of radicals.
1.A.9: simplify and combine radicals.
1.A.10: rationalize denominators.
1.A.12: write polynomials in descending order (standard form).
1.A.13: add, subtract, and multiply polynomials
1.A.14: use polynomials to solve real life problems.
1.A.15: use rate of change to graph lines.
1.A.16: find the rate of change of lines.
1.A.17: write the equation of a line
1.A.18: use rate of change to identify parallel and perpendicular lines.
1.A.19: use lines to model and solve real life problems
1.A.20: use tables to graph equations (absolute value, square root, linear, quadratic, cubic).
1.A.21: sketch graphs of equations.
1.A.22: find the x- and y-intercepts of graphs of equations.
1.A.23: determine if an equation or graph is symmetric with respect to the x-axis, y-axis, or origin.
1.A.24: use graphs and equations in a real world situation.
1.A.25: graph an equation of a circle.
1.A.26: write equations of circles.
1.A.27: use mathematical models to solve real-life problems.
1.A.28: use common formulas to solve problems.
1.A.29: factor by taking out the greatest common factor (GCF).
1.A.30: factor by grouping.
1.A.31: factor trinomials.
1.A.32: solve by factoring.
1.B.1: determine if a relation is a function.
1.B.2: evaluate functions.
1.B.5: add and subtract functions.
1.B.6: multiply and divide functions.
1.B.7: find the composite functions.
1.B.3: find the domain and range of functions.
1.B.4: use functions to model real-life problems.
1.B.8: use combinations and composite functions to solve real-life problems.
1.B.9: find the inverse of a function algebraically.
1.B.10: verify that 2 functions are inverses of one another.
1.B.11: use the graph of a function to determine if it has an inverse.
1.B.12: use the Horizontal Line Test to determine if functions are one-to-one.
1.B.13: use the Vertical Line Test for functions.
1.B.14: find zeros of a function.
1.B.15: determine increasing and decreasing intervals of functions.
























































1.B.16: determine relative maximum and minimum of functions.
1.B.17: determine the average rate of change of a function.
1.B.18: can identify even and odd functions.
1.B.19: can identify and graph parent functions of linear, quadratic, cubic, square root, absolute value and piecewise functions.
1.B.20: use vertical and horizontal shifts to sketch graphs of functions.
1.B.21: use reflections to sketch graphs of functions.
1.B.22: use nonrigid transformations to sketch graphs of functions.
2.A.1: use the imaginary unit i to write complex numbers.
2.A.2: add, subtract, and multiply complex numbers.
2.A.3: use complex conjugates to write the quotient of two complex numbers in standard form.
2.A.4: solve a quadratic equation by factoring.
2.A.5: solve a quadratic equation by graphing.
2.A.6: solve a quadratic equation by extracting the square roots.
2.A.7: solve a quadratic equation using the Quadratic Formula.
2.A.8: Find complex solutions of quadratic equations.
2.A.9: solve a quadratic equation by completing the square.
2.A.10: use quadratic equations to model real life problems.
2.A.11: write a quadratic equation with the given roots.
2.A.12: graph a quadratic equation from vertex form.
2.A.13: graph a quadratic equation from standard from.
2.A.14: identify the y-intercept, vertex, and axis of symmetry of a quadratic equation in standard form
2.A.15: write the vertex form of the quadratic function given a graph.
2.A.16: write the vertex form of the quadratic function given a vertex and a point on the graph.
2.B.1: use the leading coefficient test to determine end behavior of graphs of polynomials.
2.B.2: determine if polynomial functions are even or odd degree.
2.B.3: sketch the graph of a function using the leading coefficients, zeros, and other needed solution points.
2.B.4: find zeros of polynomial functions.
2.B.5: use the zeros of a polynomial to write an appropriate equation.
2.B.6: use polynomial equations to model real life problems.
2.B.7: use long division to divide polynomials.
2.B.8: use synthetic division to divide polynomials by binomials in the form (x – k).
2.B.9: use the Factor Theorem.
2.B.10: find all of the zeros of a polynomial by using the graphing utility to find one real zero and polynomial division to find the rest.
2.B.11: find conjugate pairs of complex zeros.
2.C.1: simplify rational expressions.
2.C.2: add, subtract, multiply, and divide rational expressions
2.C.3: solve rational equations.
2.C.4: determine the domain and range of a rational function.
2.C.5: determine the horizontal asymptotes, vertical asymptotes, slant asymptotes, and "holes" (if any) on graphs of rational function.
2.C.6: find zeros (if any) of a rational function.
2.C.7: Write a rational function with its given characteristics.
2.C.8: sketch the graph of rational functions.
2.C.9: sketch graphs of rational functions that have slant asymptotes.
2.D.1: recognize and evaluate logarithmic and natural logarithmic functions.
2.D.2: convert logarithm functions to exponential functions and vice versa.
2.D.3: use the properties of logs and natural logs to simplify expression.
2.D.4: graph logarithmic and natural logarithmic functions.
2.D.5: use the change of base formula to rewrite and evaluate logarithmic expressions.
2.D.6: use the properties of logarithms and natural logarithms to evaluate, rewrite, or simplify expressions.
2.D.7: use properties of logarithms to expand and condense logarithmic expressions.
2.D.8: use logarithmic functions to model and solve real-life problems.
2.D.9: solve logarithmic and exponential equations.
2.D.10: Use exponential and logarithmic equations to model and solve real-life problems.
2.D.11: use an exponential model to solve real-life problems. (specifically exponential growth and decay problems)
2.D.12: graph an exponential function and determine the y intercept, domain, range, and any asymptotes.
2.D.13: use an exponential model to solve real-life problems.