I.THE REAL NUMBER SYSTEM & INTRODUCTION TO ALGEBRA:
(Suggested pacing guide 1 week or 3 sessions)
1.Introduction: The Sets of Integers, Rational, Irrational and Real Numbers.
2.The Real Number Line
3. Absolute Value
4.Comparing, Ordering (<; =; >) and Trichotomy.
5.Addition of Real Numbers and Its Properties .
11.The Concept of Variable and Constant.
12.Definition of Algebraic Expressions.
i. Numerical Coefficient
ii. Literal Part
13.The Substitution Principle.
14.Evaluating Formulas and Algebraic Expressions
2.Definition and Solution of a Linear Equation in One Variable.
3.Conditional, Identities and Contradictions.
4.Equivalent Equations: Addition and Multiplication Principle.
5.Solving a Linear Equation by Using Equivalent Equations:
a.With Integral Coefficients
b.With Fractional and Decimal Coefficientes.
6.Solving Word Problems (application problems) Using a Linear Equation or System
of Linear Equations:
a.Translating from English to Algebra
b.Number Relation Problems
7.Application or word problems that involve a linear equation with percents,
proportions formulas etc.
d.Mixture or Solution problems
III.EXPONENTS & OPERATIONS WITH POLYNOMIALS & SPECIAL PRODUCTS
(1 ½ weeks or 5 sessions)
1.Operations and Powers of Real Numbers with Integer Exponents.
2. Exponential Expressions
3.Negative Exponents and Scientific Notation
4.Introduction: Basic Concepts of Polynomials.
5.Addition and Subtraction of Polynomial
6.Multiplication of Polynomials.
a. A Monomial times a Monomial
b. A Polynomial times a Monomial
c. A Binomial times a Binomial
d. A Polynomial times a Polynomial
7.Division of Polynomial
a. A Monomial by Monomials
b. A Polynomial by a Monomial
c. A Polynomial by a Polynomial
IV.FACTORING AND APPLICATIONS:
(3 weeks or 9 sessions)
1. Factor, Prime Factor and Greatest Common Factor
2. Factoring a Polynomial that has a Common Factor in each of its Terms
3. Factoring by Grouping Method
4. Factoring Trinomials of the Form x2+bx+c
5. Factoring Trinomials of the Form ax2+bx+c
6. Factoring Perfect Square Trinomials
7. Factoring the Difference of two Squares
8. Factoring Completely
9. Solving Quadratic Equations by Factoring
10. Applications of Factoring to Rational Expressions:
a. Reduction of RationalExpressions to Lowest Terms
b. Multiplication of Rational Expressions
c. Division of Rational Expressions
d. Addition and Subtraction of Rational Expressions (optional)
V. MIDTERM (Certification for COMPASS)
1.The Cartesian - Coordinate System
2.Ordered Pairs of Real Numbers and Points in a Plane
3.Geometry in Coordinate Plane; Concepts of parallel, perpendicular
4.Slope, Square Root and Distance Formula, Pythagorean Theorem.
5.Review for Midterm
VI. LINEAR EQUATIONS IN TWO VARIABLES: (2 week = 6 sessions)
(Continuation of graphing)
6.Definition and Solution of a Linear Equation in Two Variables
7. Graphing a Linear Equation:
a.by finding Two Points
b.by the Intercepts Method
5. Concept of Slope of a Straight Line
a. Finding the Slope of a Line When Two Points are given
b. Graphing a Straight Line Using the Slope y-Intercept Method
c. Vertical and Horizontal Lines
6. Graphing Systems of Two Linear Equations in Two Variables:
a. Intersecting Lines
b. Parallel Lines
c. Coincident Lines
7. Find the Equation of a line
a. by using the slope-intercept formula
b. given two points on the line
c. given a point on the line and the slope of a parallel/perpendicular line
8. Algebraic Solution of Systems of Two Linear Equations In Two Variables
a. Addition Method
b. Substitution Method
Start solving your Algebra Problems
in next 5 minutes!
Download (and optional CD)
Click to Buy Now:
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
you will pay only $39.99
instead of our regular price of $74.99 -- this is $35 in
savings ! In order to take advantage of this
offer, you need to order by clicking on one of
the buttons on the left, not through our regular
If you order now you will also receive 30 minute live session from tutor.com for a 1$!
You Will Learn Algebra Better - Guaranteed!
Just take a look how incredibly simple Algebra Helper is:
: 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)