Course Outline of Record for Elementary Algebra
Conditions of Enrollment: Specify Prerequisite,
Corequisite, Recommended Preparation,
Enrollment Limitation, or None.
Mathematics 23 or Mathematics 25 with a minimum grade of C in
prerequisite, or qualification by testing (El Camino College Mathematics
Placement Test) and assessment.
Catalog Description :
This course in elementary algebra includes the study of real number
solutions and applications of linear equations , quadratic equations , linear
inequalities, and systems of linear equations. Other topics include
coordinate graphing of linear equations, factoring techniques, and
simplification of rational and radical expressions.
List the major objectives of the course. These must be
stated in behaviorally measurable
terms.
1. Use the specialized vocabulary describing the real number system and its
properties as well as the fundamentals of algebra.
2. Manipulate (evaluate, simplify, or factor) algebraic expressions, including
ex pressions with fractions and radicals.
3. Solve linear equations and inequalities, systems of linear equations, and
quadratic
equations.
4. Solve various application problems which feature the mathematics under study
using elementary modeling techniques.
5. Graph linear equations and systems of linear equations on a coordinate plane,
isolating features such as intercepts and slope.
III. OUTLINE OF SUBJECT MATTER 
The topics should be detailed enough to enable an
instructor to determine the
major areas that should be covered and so that the course may have
consistency from instructor to instructor and semester to semester.
Approximate
Time in Hours 
Major Topics 


24 
I. Basic Operations and Manipulations with
AlgebraicExpressions
A. Simplify and evaluate algebraic expressions using order of
operations.
Use the Distributive Property appropriately.
B. In an algebraic expression, identify constants, variables, terms,
variable terms, the degree of a variable term, and the coefficient of a
variable term. Identify monomials, binomials and trinomials.
C. Perform arithmetic operations on polynomials including long division
and use of integer exponents . Use the Commutative, Associative, and
Distributive Properties appropriately.
D. Factor polynomials (including those with common monomial factors,
the difference of squares and perfect square trinomials .) Factor by
grouping in simple and general trinomials.
E. Perform operations on rational expressions.
F. Perform arithmetic operations on radical expressions . 

22 
I I Equations and Inequalities
A. Identify and simplify linear expressions. Solve linear equations and
inquaities.
B. Using the properties of equality, identify equivalent equations,
solve
linear equations and inequalities.
C. Solve 2by2 linear systems of equations using substitution or linear
combinations (also known as elimination or addition).
D. Solve for a specified variable in an equation containing more than
one
variable.
E. Solve quadratic equations using factoring, the square root property ,
completing the square, or the quadratic formula. 

11 
III Applications A.
Translate a given English expression or a word problem into a
mathematical expression, equation, or inequality.
B. Set up and solve geometric problems using formulas for perimeter ,
area, volume, and the Pythagorean Theorem.
C. Set up and solve a variety of application problems
including those
involving percentage relationships, ratios and proportions . Examples
include work, distance, and mixture problems.


15 
IV. Graphing
A. Graph ordered pairs on a coordinate plane.
B. Graph the solution of a linear inequality in one variable on a number
line.
C. Determine the slope of a line given its graph or given two points on
the
line.
D. Graph linear equations in standard, slopeintercept and point slope
form.
E. Write the equation of a line given: a) a point and its slope, b) its
slope
and yintercept, or c) two points on the line.
F. Solve a 2by2 linear system of equations by graphing. 

Start solving your Algebra Problems
in next 5 minutes!




Algebra Helper
Download (and optional CD)
Only $39.99

Click to Buy Now:
OR






2Checkout.com is an authorized reseller
of goods provided by Sofmath


Attention: We are
currently running a special promotional offer
for AlgebraAnswer.com visitors  if you order
Algebra Helper by midnight of
February 24th
you will pay only $39.99
instead of our regular price of $74.99  this is $35 in
savings ! In order to take advantage of this
offer, you need to order by clicking on one of
the buttons on the left, not through our regular
order page.
If you order now you will also receive 30 minute live session from tutor.com for a 1$!

You Will Learn Algebra Better  Guaranteed!
Just take a look how incredibly simple Algebra Helper is:
Step 1
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebra Helper solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebra Helper can solve problems in all the following areas:
 simplification of algebraic expressions (operations
with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots
(radicals), absolute values)
 factoring and expanding expressions
 finding LCM and GCF

(simplifying, rationalizing complex denominators...)
 solving linear, quadratic and many other equations
and inequalities
(including basic logarithmic and exponential equations)
 solving a system of two and three linear equations
(including Cramer's rule)
 graphing curves (lines, parabolas, hyperbolas, circles,
ellipses, equation and inequality solutions)
 graphing general functions
 operations with functions (composition, inverse, range, domain...)
 simplifying logarithms
 basic geometry and trigonometry
(similarity, calculating trig functions, right triangle...)
 arithmetic and other prealgebra topics
(ratios, proportions, measurements...)
ORDER NOW!




Algebra Helper
Download (and optional CD)
Only $39.99

Click to Buy Now:
OR






2Checkout.com is an authorized reseller
of goods provided by Sofmath





"It
really helped me with my homework. I was
stuck on some problems and your software walked me
step by step through the process..." 
C. Sievert, KY
 



Sofmath
19179 Blanco #105234 San Antonio, TX 78258

Phone:
(512) 7885675 Fax: (512) 5191805
  