Section 1.1
Graphs and Graphing Utilities
Points and Ordered Pairs
Plot points on the rectangular coordinate system. Plot the
x coordinate first then the y coordinate. This is an ordered
pair of real numbers, (x,y).
Plot the following points:
Example
(-4,
Section P.6
Rational Expressions
Rational Expressions
A rational expression is the quotient of two
polynomials. The set of real numbers for which
an algebraic expression is defined is the domain
of the expression. Because division by zero is
undefined, we
Section P.5
Factoring Polynomials
Common Factors
Factoring a polynomial containing the sum of monomials
mean finding an equivalent expression that is a product.
In this section we will be factoring over the set of integers,
meaning that the coefficients i
Section P.4
Polynomials
How We Describe Polynomials
The Degree of ax n
If a 0, the degree of ax n is n. The degree of a
nonzero constant is 0. The constant 0 has no
defined degree.
Adding and Subtracting
Polynomials
Combine Like Terms
Example
Perform the
Section 2.3
Linear Functions and Slopes
1
Section 2.3 Linear Functions and Slopes
The Slope of a Line
2
Section 2.3 Linear Functions and Slopes
Find the slope of the line that passes
through (-2,5) and (3,-1)
change in y 5 1 6
6
m
or
change in x 2 3 5
5
Section 1.7
Linear Inequalities
and
Absolute Value Inequalities
Interval Notation
Example
Express the interval in set builder notation
and graph:
3, 2
0, 4
, 2
Intersections and
Unions of Intervals
Example
Find the set:
2,3
U 0,4
Example
Find the se
Section 2.4
More on Slope
1
Section 2.4 More on Slope
Parallel and Perpendicular Lines
2
Section 2.4 More on Slope
y = 2x+7
3
Section 2.4 More on Slope
Parallel Lines
Find a line parallel to - x 6 y 8 and passing through (-2,3).
-x 6 y 8
6y x 8
1
4
y x
6
Section 2.1
Functions and Their Graphs
Relations
Section 2.1 Functions and Their Graphs
2
Domain: sitting, walking, aerobics, tennis, running, swimming
Range: 80,325,505,720,790
Do not list 505 twice.
The numbers in the range represent the number of
minut
Section 2.2
More on Functions
and Their Graphs
Section 2.2 More on Functions and Their Graphs
1
Increasing and
Decreasing Functions
Section 2.2 More on Functions and Their Graphs
2
Section 2.2 More on Functions and Their Graphs
3
For open intervals
descri
College Mathematics I.U2.GA1.Modeling the Price of an Item
NAME:_
Unit 2 Assignment 1: Modeling the Price of an Item
Learning Objectives and Outcomes
Solve linear equations.
Assignment Requirements
1. Research the price of an item you would like to buy on
College Mathematics I.WS1.Solving Quadratic Equations
Solving Quadratic Equations Worksheet
Instructions:
Use this worksheet to make notes during class. Write down the important definitions (noted by book
icon) as your instructor covers them during the pr
Section 1.5
Quadratic Equations
Definition of a Quadratic Equation
A quadratic equation in x is an equation that can be written
in the general form
ax 2 bx x 0,
where a, b, and c are real numbers, with a 0. A quadratic
equation in x is also called a secon
Section 1.6
Other Types of Equations
Polynomial Equations
A polynomial equation is the result of setting two
polynomials equal to each other. The equation is in
general form if one side is 0 and the polynomial on
the other side is in descending powers of
Section 1.3
Models and Applications
Problem Solving
with Linear Equations
Strategy for Solving Word Problems
Step 1: Read the problem carefully. Attempt to state the
problem in your own words and state what the problem is
looking for. Let any variable rep
Section 1.2
Linear Equations
and
Rational Equations
Solving Linear Equations in
One Variable
Definition of a Linear Equation
A linear equation in one variable x is an equation
that can be written in the form
ax b 0
where a and b are real numbers, and a 0.
College Mathematics I.U1.WS1.Algebra Basics
Page 1 of 4
Algebra Basics (P.1-P.5)
P.1
Evaluate:
7+5 x for
P.2
Evaluate:
6
(2)
Evaluate:
x=10
2
x +3 x for
x=8
Evaluate:
5
(3)
Determine whether the
following statement is true or
false:
Simplify:
Simplify:
5(
College Mathematics I. Find the Mistakes
Find the Mistakes
Your instructor wants you to help grade a student assignment. Take a look at the work below. Find
any mistakes made by the student and provide feedback that will help the student improve before th
QUIZ 3: QUESTIONS
Name:_
MA1210
Quiz 3; 4/23/15
1. The following relation is a function: cfw_(-1, 2),(3, 4),(5, 5).
a. True
b. False
2. The following relation is a function: cfw_(3, 4),(3, 5),(-4, 4),(4, 5).
a. True
b. False
3. If f () = 31 , find
(4).
a
MA1210 Week 3 Lab
Emilio Soto
ITT Technical Institute
Recommended Procedures:
Solve the following problems, providing detailed steps wherever required.
1. (30 points) We often use graphs of recent data to project what future data may bring.
The car was pu
MA1210 Week 3 Exercise 3
Emilio Soto
Professor Dutta
ITT Technical Institute
1. (30 points) The following quadratic equation describes the average RAM installed, , in
Gigabytes, on PCs x years after 2000.
= 0.022^2 +0.25
a. Find the average RAM installed
MA1210 Week 2 Exercise
Emilio Soto
ITT Technical Institute
1. (25 points) The following formula describes a large companys number of viruses, V,
on employee computers. The variable, t, is time, in years, since 2002. Answer the following
questions showing
MA1210: Module 1 Fundamentals of Algebra, Part 1
Emilio Soto
ITT Technical Institute
Professor Dutta
1. (35 points) The following formula estimates the number of Facebook users, in millions, since
2008. Assume this trend continues and use the following fo