COLLEGE ALGEBRA
* DENOTES OPTIONAL MATERIAL
Bold and Italicized items denote course competencies agreed upon by
the Kansas Core Outcomes Project
Chapter P PREREQUISITES:
FUNDAMENTAL CONCEPTS OF ALGEBRA Section: P.1 – P.6
Outcomes: The student will review concepts of real numbers, exponents,
radicals, and basic rules of algebra. |
| A |
B |
C |
D |
F |
N |
|
Specific Competencies
Demonstrate the ability to: |
|
|
|
|
|
|
*P.1 |
Evaluate algebraic expressions. |
|
|
|
|
|
|
*P.1 |
Use mathematical models. |
|
|
|
|
|
|
*P.1 |
Find the intersection of two sets. |
|
|
|
|
|
|
*P.1 |
Find the union of two sets. |
|
|
|
|
|
|
*P.1 |
Recognize subsets of the real
numbers. |
|
|
|
|
|
|
*P.1 |
Use inequality symbols . |
|
|
|
|
|
|
*P.1 |
Evaluate absolute value. |
|
|
|
|
|
|
*P.1 |
Use absolute value to express
distance. |
|
|
|
|
|
|
*P.1 |
Identify properties of the real
numbers. |
|
|
|
|
|
|
*P.1 |
Simplify algebraic expressions. |
|
|
|
|
|
|
*P.2 |
Use the product, quotient,
zero-exponent, negative exponent, and power rules for
exponents. |
|
|
|
|
|
|
*P.2 |
Use the power of a quotient. |
|
|
|
|
|
|
*P.2 |
Simplify exponential expressions. |
|
|
|
|
|
|
*P.2 |
Use scientific notation. |
|
|
|
|
|
|
*P.3 |
Evaluate square roots. |
|
|
|
|
|
|
*P.3 |
Simplify radical expressions using
the product rule and quotient rule |
|
|
|
|
|
|
*P.3 |
Add and subtract square roots. |
|
|
|
|
|
|
*P.3 |
Rationalize denominators. |
|
|
|
|
|
|
*P.3 |
Evaluate and perform operations with
higher roots. |
|
|
|
|
|
|
*P.3 |
Understand and use rational
exponents. |
|
|
|
|
|
|
*P.4 |
Add, subtract, and multiply
polynomials . |
|
|
|
|
|
|
*P.4 |
Use FOIL in polynomial
multiplication. |
|
|
|
|
|
|
*P.4 |
Use special products in polynomial
multiplication. |
|
|
|
|
|
|
*P.4 |
Perform operations with polynomials
in several variables. |
|
|
|
|
|
|
*P.5 |
Factor out the greatest common factor
of a polynomial. |
|
|
|
|
|
|
*P.5 |
Factor by grouping. |
|
|
|
|
|
|
*P.5 |
Factor trinomials. |
|
|
|
|
|
|
*P.5 |
Factor the difference of squares. |
|
|
|
|
|
|
*P.5 |
Factor perfect square trinomials. |
|
|
|
|
|
|
*P.5 |
Factor the sum and
difference of two cubes. |
|
|
|
|
|
|
*P.5 |
Use a general strategy for factoring
polynomials. |
|
|
|
|
|
|
*P.5 |
Factor algebraic expressions
containing fractional and negative exponents. |
|
|
|
|
|
|
*P.6 |
Specify numbers that must be excluded
from the domain of a rational expression. |
|
|
|
|
|
|
*P.6 |
Simplify rational expressions. |
|
|
|
|
|
|
*P.6 |
Multiply and divide rational
expressions. |
|
|
|
|
|
|
*P.6 |
Add and subtract rational
expressions. |
|
|
|
|
|
|
*P.6 |
Simplify complex rational
expressions. |
Chapter 1 EQUATIONS AND
INEQUALITIES Section: 1.1 – 1.7
Outcomes: The student will learn to solve and use linear, quadratic and
polynomial equations, equations involving
radicals, fractions or absolute values; find intercepts , zeros, and
graphical solutions ; perform
operations with complex numbers and use mathematical models to solve
real world application
problems. |
| A |
B |
C |
D |
F |
N |
|
Specific Competencies
Demonstrate the ability to: |
|
|
|
|
|
|
1.1 |
Plot points in the rectangular
coordinate system. |
|
|
|
|
|
|
1.1 |
Graph equations in the rectangular
coordinate system. |
|
|
|
|
|
|
1.1 |
*Interpret information about a
graphing utility’s viewing rectangle or table. |
|
|
|
|
|
|
1.1 |
Use a graph to determine intercepts. |
|
|
|
|
|
|
1.1 |
Interpret information given by
graphs. |
|
|
|
|
|
|
1.2 |
Solve linear equations in one
variable. |
|
|
|
|
|
|
1.2 |
Solve linear equations containing
fractions. |
|
|
|
|
|
|
1.2 |
Solve rational equations with
variables in the denominators . |
|
|
|
|
|
|
1.2 |
Recognize identities, conditional
equations, and inconsistent equations. |
|
|
|
|
|
|
1.2 |
Solve applied problems using
mathematical models. |
|
|
|
|
|
|
1.3 |
Use linear equations to solve
problems. |
|
|
|
|
|
|
1.3 |
Solve a formula for a variable. |
|
|
|
|
|
|
*1.4 |
Add and subtract complex numbers. |
|
|
|
|
|
|
*1.4 |
Multiply complex numbers. |
|
|
|
|
|
|
*1.4 |
Divide complex numbers. |
|
|
|
|
|
|
*1.4 |
Perform operations with square roots
of negative numbers. |
|
|
|
|
|
|
1.5 |
Solve quadratic equations by
factoring, square root property, completing the square, and
the quadratic formula.. |
|
|
|
|
|
|
1.5 |
Use the discriminant to determine the
number and type of solutions. |
|
|
|
|
|
|
1.5 |
Determine the most efficient method
to use when solving a quadratic equation |
|
|
|
|
|
|
1.5 |
Solve problems modeled by quadratic
equations |
|
|
|
|
|
|
1.6 |
Solve polynomial equations by
factoring. |
|
|
|
|
|
|
1.6 |
Solve equations involving
radicals. |
|
|
|
|
|
|
1.6 |
Solve equations with rational
exponents. |
|
|
|
|
|
|
1.6 |
Solve equations that are quadratic
in form. |
|
|
|
|
|
|
1.6 |
Solve equations involving absolute
value. |
|
|
|
|
|
|
1.6 |
Solve problems modeled by equations. |
|
|
|
|
|
|
1.7 |
Use interval notation. |
|
|
|
|
|
|
1.7 |
Find intersections and unions of
intervals. |
|
|
|
|
|
|
1.7 |
Solve linear inequalities. |
|
|
|
|
|
|
1.7 |
Recognize inequalities with no
solution or all real numbers as solutions. |
|
|
|
|
|
|
1.7 |
Solve compound inequalities. |
|
|
|
|
|
|
1.7 |
Solve absolute value inequalities. |
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 Algebra-Answer.com visitors -- if you order
Algebra Helper by midnight of
November 2nd
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 pre-algebra 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 #105-234
San Antonio, TX 78258
|
Phone:
(512) 788-5675
Fax: (512) 519-1805
| | |
