Math 1010 Final Exam Study Guide



Math 1010 Final Exam Study Guide

Betsy McCall, Spring 2005

Section 1.1 – There will be a problem from this section dealing with the distance formula. Try problems:

#21-34

#39-44

Section 1.3 – There will be a problem from this section where you will be asked to solve an algebraic equation. You may do it either graphically or algebraically. It might be linear, rational or quadratic (probably rational or quadratic). Try problems:

#29-36

#37-56

#77-94

Section 1.5 – There will be one problem directly from this section, probably on an absolute value problem; however, we had some problems in the exponential section in 6.2 that referred back to the substitution method discussed in this section, so you may wish to review that material in case it shows up in problems from Chapter 6. Remember that the absolute value problems usually have two answers. Try problems:

(#31-62)

#63-84

Section 1.6 – There will be one problem from this section involving solving inequalities. Try problems:

#43-66

Section 1.7 – You will be asked to determine the equation of a line that passes through a pair of given points. Try problems:

#5-12

#13-20

#27-30

#35-46

Section 2.1 – There will be one problem that refers to this section. It will be in several parts, and will likely include material from 6.1 (inverses) as well. You will be asked to determine if an equation is a function (vertical line test), write the equation using function notation, find its domain, and then determine if there is an inverse (horizontal line test). You will find graphing the equation helpful. Try problems:

#21-32

#33-46

Section 2.3 – There will be one problem from this section involving properties of the vertex of a parabola, either determining the vertex from an equation, or finding the equation from the vertex and one other point. Try problems:

#13-30

#31-36

Section 3.2 – There will be one problem from this section asking you to determine whether a function is even, odd or neither. You may wish to refer back to section 3.1 where we said that y-axis symmetry is the same as even functions, and origin symmetry meant an odd function. Try problems:

#37-48

Section 3.5 – There will be one problem from this section asking you to perform basic operations on functions such as addition, multiplication, composition, etc. Try problems:

#1-10

#13-22

Section 6.1 – This is a part of the problem from 2.1. Try problems:

#9-20

#43-54

Section 6.2 – This section deals with exponential functions. You will be asked to deal with basic properties of exponentials and solve an exponential equation for x. You may use properties from the logarithm sections. Try problems:

#43-56

Section 6.4 – This section deals with properties of logarithms. You may need these properties to do a problem that will be taken from section 6.5. Try problems:

#25-34

#43-49

#61-68

Section 6.5 – There will be one problem taken from this section. You may use your calculator or any of the log properties from section 6.4. Try problems:

#1-30

Section 7.1 – You will be asked to solve a system of linear equations. It may be taken from this section or 7.2. You may use matrix methods, or any of the other methods discussed in this section such as graphing, substitution, or elimination. Try problems:

#9-30

Section 7.2 – Try problems:

#3-16

Section 7.6 – You will be asked to graph a system of linear inequalities. Try problems:

#9-20

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