MA 180* Fall 2010* Exam 1
Name _
_ of 80 points
There are twenty questions on this exam worth four points each. Partially correct answers may receive
partial credit. Put all answers in the answer colu
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.6) Factoring
The process of writing a polynomial as a product is called factoring.
A polynomi
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.1) Real Numbers: Order and Absolute Value
Definitions:
Set: is a collection of objections in
MA 180 Lecture
Chapter 2
College Algebra and Calculus by Larson/Hodgkins
Functions and Graphs
2.7) The Algebra of Functions
Sum, Difference, Product, and Quotient of Functions
Let f and g be two funct
MA 180 Lecture
Chapter 5
College Algebra and Calculus by Larson/Hodgkins
Systems of Equations and Inequalities
5.1) Solving Systems Using Substitution
5.2) Solving Systems Using Elimination
Sometimes
MA 180 Lecture
Chapter 2
College Algebra and Calculus by Larson/Hodgkins
Functions and Graphs
2.8) Inverse Functions
Since a function can be represented by the collection of ordered pairs satisfying t
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.7) Other Types of Inequalities
In this section it is important to remember that whenever we multip
MA 180 Lecture
Chapter 2
College Algebra and Calculus by Larson/Hodgkins
Functions and Graphs
2.1) Lines in the Plane
Definition of the Slope of a line
The slope m of the nonvertical line passing thro
MA 180 Lecture
Chapter 2
College Algebra and Calculus by Larson/Hodgkins
Functions and Graphs
2.5) Graphs of Functions
The graph of a function f is the collection of ordered pairs (x,f(x) such that x
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.5) Polynomials and Special Products
Definition of a Polynomial in x
Let an ,., a2 , a1 , a0 b
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.3) Integer Exponents
Let a be a real number, a variable, or an algebraic expression, and let
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.4) Radicals and Rational Exponents
Definition of n th Root of a Number
Let a and b be real nu
MA 180 Lecture
Chapter 2
College Algebra and Calculus by Larson/Hodgkins
Functions and Graphs
2.1) Lines in the Plane
Definition of the Slope of a line
The slope m of the nonvertical line passing thro
MA 180 Lecture
Chapter 2
College Algebra and Calculus by Larson/Hodgkins
Functions and Graphs
2.1) Graphs of Equations
We represent real numbers on a real number line in a one-dimensional representati
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.6) Linear Inequalities
Simple inequalities are used to order real numbers. To solve an inequality
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.7) Other Types of Inequalities
In this section it is important to remember that whenever we multip
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
1.1) Linear Equations
Equations and Solutions
An equation is a statement that two algebraic exp
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.3) Quadratic Equations
Solving Quadratic Equations by Factoring
Definition of a Quadratic Equation
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.5) Other Types of Equations
The methods that we have learned so far include factoring, extracting
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
Section 0.7) Fractional Expressions
Part Two
Adding Rational Expressions
To combine (add or sub
MA 180 Lecture
Chapter 4
College Algebra and Calculus by Larson/Hodgkins
Exponential and Logarithmic Functions
4.3) Properties of Logarithms
Usually you will only find two options for logarithms on a
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
1.1) Linear Equations
Equations and Solutions
An equation is a statement that two algebraic exp
MA 180 Lecture
Chapter 2
College Algebra and Calculus by Larson/Hodgkins
Functions and Graphs
2.1) Graphs of Equations
We represent real numbers on a real number line in a one-dimensional representati
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.4) Radicals and Rational Exponents
Definition of n th Root of a Number
Let a and b be real nu
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.3) Integer Exponents
Let a be a real number, a variable, or an algebraic expression, and let
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.5) Other Types of Equations
The methods that we have learned so far include factoring, extracting
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
Section 0.7) Fractional Expressions
Part One
Domain of an Expression: The set of all real numbe
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.4) The Quadratic Formula
In order to use the quadratic formula to solve any quadratic equation we
MA 180 Lecture
Chapter 1
College Algebra and Calculus by Larson/Hodgkins
Equations and Inequalities
1.6) Linear Inequalities
Simple inequalities are used to order real numbers. To solve an inequality
MA 180 Lecture
Chapter 0
College Algebra and Calculus by Larson/Hodgkins
Fundamental Concepts of Algebra
0.5) Polynomials and Special Products
Definition of a Polynomial in x
Let an ,., a2 , a1 , a0 b