**Math Help for the THEA or ACCUPLACER Test
**

** Introduction**

If you need help in preparing for the math part of the THEA
or ACCUPLACER test, you have come to the right place. Note that
you do not have to be a student at **WTAMU** to
use this study session. It was created as a service to anyone who
needs help getting ready for this test.

Special note to those taking the math part of the ACCUPLACER test:

Special note to those taking the math part of the ACCUPLACER test:

Even though I refer to the
THEA test throughout this webpage, if you are planning to take the
ACCUPLACER test this page can also help
you. The content of the math part of the THEA and the ACCUPLACER
tests are similar, they just may be labeled differently.

I believe that if you have the mathematical concepts down, then you should be able to answer a wide variety of questions that use those concepts no matter how the questions are asked.

I believe that if you have the mathematical concepts down, then you should be able to answer a wide variety of questions that use those concepts no matter how the questions are asked.

If this is your first visit to our website, please read the **disclaimer**.

The math part of the THEA test is split into four main
areas:

Below are the specific concepts you need to know about each of those areas. This list was compiled from researching the

Under each specific concept, you will find links to in-depth
tutorials that will help learn and review the material. These tutorials
come from the **WTAMU Virtual Math Lab**, which I
created. Within these tutorials, you will find pertinent
definitions, formulas, step-by-step explanations, an answer/discussion section with
step-by-step solutions, and links to other credible webpages that can
help you further with that topic.

In math, when you study a specific topic, a lot of times you are incorporating other mathematical topics into solving the problem. Some of the tutorials will overlap each other. This will help reinforce the concepts you need to know for the THEA test.

Under the Fundamental
Mathematics,** **Geometry
and Problem
Solving
areas,
you need to **go to all the links** that are under each topic to
get
the full benefit.

Under the Algebra
area, there is a lot of overlapping between the different levels (beginning and
intermediate) of tutorials. **Find the algebra level that
agrees with you most and do all of the tutorials under that level.** If you
start at the beginning level algebra, **make sure that you make your
way up through intermediate algebra before you take the THEA or ACCUPLACER
test.**

When you are done with a tutorial, **you can come back
to this webpage by clicking on the back arrow link marked THEA Math Help Page found on
the top left corner of the tutorial page OR clicking on the back arrow on
the top left of your Internet window** until you are back to this page.

** Fundamental Mathematics**

The first area that we will be looking at is
fundamental mathematics. You
know, fun things like making sure you have the negative in the right
place
and remembering when you have to find the common denominator of your
fractions.
Don't worry, I have the utmost confidence that **you
will do much better with arithmetic than Calvin.**

SPECIAL NOTE:

You need to **go
to all the links** that are under each topic for
fundamental mathematics to get the full benefit.

**The fundamental mathematics area covers:**

**Integers, Fractions, Decimals,
and Units of Measurements
**

** Beginning
Algebra Tutorial 3:** **Fractions**

This tutorial covers:

- numerators and denominators of a fraction
- the prime factorization of a number
- simplifying a fraction
- finding the least common denominator of given fractions
- multiplying, dividing, adding and subtracting fractions

** Beginning
Algebra Tutorial 5: Adding
Real Numbers**

This tutorial covers:

- adding real numbers
- finding the additive inverse or the opposite of a number

** Beginning
Algebra Tutorial 6:** **Subtracting
Real Numbers**

This tutorial covers:

- subtracting real numbers

** Beginning
Algebra Tutorial 7: Multiplying
and Dividing Real Numbers**

This tutorial covers:

- finding the reciprocal of a number
- multiplying and dividing real numbers
- multiplying by zero
- the fact that dividing by zero is undefined

**Problems Involving Data
Interpretation and Analysis
**

** Beginning
Algebra Tutorial 9: Reading
Graphs**

This tutorial covers:

- reading a bar graph
- reading a line graph
- reading a double line graph
- drawing and reading a Venn diagram

** Beginning
Algebra Tutorial 16:** **Percent
and Problem Solving**

This tutorial covers:

- converting percents into decimal numbers
- converting decimal numbers into percents
- solving word problems involving percents
- pie charts with percents
- tables with percents

** Beginning
Algebra Tutorial 34: Central
Tendencies**

This tutorial covers:

- finding the mean, median, mode, range, standard deviation and frequency distribution of a list of values

** Algebra**

It's back!!!!!! Just when you thought it
was safe to come
back to school, POW, another math test with ALGEBRA!!! I'm hoping
that with this section of tutorials, **I
will convert some of you who are math atheists (you know who you are).**

**SPECIAL
NOTE: **

Note that most of
the topics under Algebra contain tutorials from two
levels (lowest to highest): beginning and intermediate.

**Ideally, for the
Algebra section, you want to be able
to work the intermediate level by the time you take the THEA test. **

There will be some overlapping between the levels. If a topic has tutorials in more than one level, try going under the highest level first. If that is too hard for you, go to the tutorials of the next level down, if available.

**Once you find a level to start with, make sure
that
if it is beginning algebra, in the end you work your way up to
intermediate algebra. **

The beauty of this is it is **individualized**.
You can **go
at your own pace** at the comfort of your own computer. You
know
better than anyone else what your algebra skills are.

**The algebra area covers:**

**Graphs
of Number Relationships
**

** Beginning
Algebra Tutorial 20: The
Rectangular Coordinate System**

This tutorial covers:

- plotting points on a rectangular coordinate system
- identifying what quadrant or axis a point lies on
- telling if an ordered pair is a solution of an equation in two variables or not
- completing an ordered pair that has one missing value

** Beginning
Algebra Tutorial 21: Graphing
Linear Equations**

This tutorial covers:

- recognizing when an equation in two variables is a linear equation
- graphing a linear equation

** Beginning
Algebra Tutorial 22: Intercepts**

This tutorial covers:

- finding the
*x*- and*y*-intercepts of a linear function - graphing a linear function using the
*x*- and*y*-intercepts - graphing vertical and horizontal lines

** Beginning
Algebra Tutorial 23: Slope**

This tutorial covers:

- finding the slope given a graph or two points
- knowing the relationship between slopes of parallel lines as well as slopes of perpendicular lines

** Beginning
Algebra Tutorial 24: Graphing Linear Inequalities**

This tutorial covers:

- graphing linear inequalities in two variables

** Intermediate
Algebra Tutorial 12: Graphing
Equations
**

This tutorial covers:

- plotting points on a rectangular coordinate system
- identifying what quadrant or axis a point lies on
- knowing if an equation is a linear equation
- telling if an ordered pair is a solution of an equation in two variables or not
- graphing an equation by plotting points

** Intermediate
Algebra Tutorial 14: Graphing
Linear Equations**

This tutorial covers:

- finding the
*x*- and*y*-intercepts of a linear function - graphing a linear function using the
*x*- and*y*-intercepts - graphing vertical and horizontal lines

** Intermediate
Algebra Tutorial 15: The
Slope of a Line**

This tutorial covers:

- finding the slope given a graph, two points or an equation
- writing a linear equation in slope/intercept form
- determining if two lines are parallel, perpendicular,
or neither

** Intermediate
Algebra Tutorial 17: Graphing
Linear Inequalities**

This tutorial covers:

- graphing linear inequalities in two variables
- graphing the union of two linear inequalities in two variables
- graphing the intersection of two linear inequalities in two variables

**One and Two Variable Equations **

** Beginning
Algebra Tutorial 12: Addition
Property of Equality**

This tutorial covers:

- knowing what a linear equation is
- knowing if a value is a solution or not
- using the addition and subtraction properties of equalities to solve linear equations

** Beginning
Algebra Tutorial 13: Multiplication
Property of Equality**

This tutorial covers:

- using the multiplication and division properties of equalities to solve linear equations
- solving an equation using more than one property
- knowing how to express consecutive integers in terms
of
*x*, if the first integer is*x* - knowing how to express even consecutive integers in
terms of
*x*, if the first even integer is*x* - knowing how to express odd consecutive integers in
terms of
*x*, if the first odd integer is*x*

** Beginning
Algebra Tutorial 14: Solving
Linear Equations**

This tutorial covers:

- solving linear equations by using a combination of simplifying and various properties of equality

** Intermediate
Algebra Tutorial 7: Linear
Equations in One Variable**

This tutorial covers:

- knowing what a linear equation is
- knowing if a value is a solution or not
- using the addition, subtraction, multiplication, and division properties of equalities to solve linear equations
- knowing when an equation has no solution
- knowing when an equation has all real numbers as a solution.

** Intermediate
Algebra Tutorial 19: Solving
Systems of Linear Equations in Two Variables**

This tutorial covers:

- knowing if an ordered pair is a solution to a system of linear equations in two variables or not
- solving a system of linear equations in two variables by graphing
- solving a system of linear equations in two variables by the substitution method
- solving a system of linear equations in two variables by the elimination method

**Word Problems With Variables
**

** Beginning
Algebra Tutorial 15: Introduction
to Problem Solving**

This tutorial covers:

- using Polya's four step process to solve word problems involving numbers, rectangles, supplementary angles, and complementary angles

** Beginning
Algebra Tutorial 17: Further
Problem Solving**

This tutorial covers:

- using Polya's four step process to solve word problems involving geometry concepts, distance, mixtures and interest

** Intermediate
Algebra Tutorial 8: Introduction
to Problem Solving**

This tutorial covers:

- using Polya's four step process to solve word problems involving numbers, percents, rectangles, supplementary angles, complementary angles, consecutive integers, and breaking even

** Intermediate
Algebra Tutorial 21: Systems
of Linear Equations and Problem Solving**

This tutorial covers:

- using Polya's four step process to solve various
problems involving systems
of linear equations in both two and three variables

**Algebraic Expressions and Functional Notation
**

** Beginning
Algebra Tutorial 11:** **Simplifying
Algebraic Expressions**

This tutorial covers:

- combining like terms
- simplifying an expression using distributive property

** Beginning
Algebra Tutorial 26: Exponents**

This tutorial covers:

- using the definition of exponents
- simplifying exponential expressions involving multiplying like bases, zero as an exponent, dividing like bases, raising a base to two exponents, raising a product to an exponent and raising a quotient to an exponent

** Beginning
Algebra Tutorial 27: Adding
and Subtracting Polynomials**

This tutorial covers:

- identifying a term, coefficient, constant term, and polynomial
- telling the difference between a monomial, binomial, and trinomial
- finding the degree of a term and polynomial
- combining like terms
- adding and subtracting polynomials

** Beginning Algebra Tutorial 28: Multiplying
Polynomials**

This tutorial covers:

- multiplying any polynomial times any other polynomial
- using the FOIL method to multiply a binomial times a binomial

** Beginning
Algebra Tutorial 29: Negative Exponents and Scientific
Notation**

This tutorial covers:

- simplifying exponential expressions involving negative exponents
- writing a number in scientific notation
- writing a number in standard notation, without exponents

** Intermediate
Algebra Tutorial 13: Introduction
to Functions
**

This tutorial covers:

- knowing what a relation, function, domain and range is
- finding the domain and range of a relation
- identifying if a relation is a function or not
- knowing how to use the vertical line test
- evaluating functional values

** Intermediate
Algebra Tutorial 23: Exponents
and Scientific Notation Part I**

This tutorial covers:

- using the definition of exponents, simplifying exponential expressions involving multiplying like bases, zero as an exponent, dividing like bases, and negative exponents
- writing a number in scientific notation
- writing a number in standard notation, without exponents

** Intermediate
Algebra Tutorial 24: Exponents
and Scientific Notation Part II**

This tutorial covers:

- simplifying exponential expressions involving raising a base to two exponents, raising a product to an exponent and raising a quotient to an exponent
- multiplying and dividing numbers written in scientific notation

** Intermediate
Algebra Tutorial 25: Polynomials
and Polynomial Functions**

This tutorial covers:

- identifying a term, coefficient, constant term, and polynomial
- telling the difference between a monomial, binomial, and trinomial
- finding the degree of a term and polynomial
- evaluating a polynomial function
- combine like terms
- adding and subtracting polynomials

** Intermediate
Algebra Tutorial 26: Multiplying
Polynomials**

This tutorial covers:

- multiplying any polynomial times any other polynomial
- using the FOIL method to multiply a binomial times a binomial
- using special product rules to multiply a binomial squared and a product of a sum and difference of two terms.

** Intermediate
Algebra Tutorial 27: The
GCF and Factoring by Grouping**

This tutorial covers:

- finding the Greatest Common Factor (GCF) of a polynomial
- factoring out the GCF of a polynomial
- factoring a polynomial with four terms by grouping

**Intermediate
Algebra Tutorial 28: Factoring
Trinomials**

This tutorial covers:

- factoring trinomials
- factoring using substitution
- indicating if a polynomial is a prime polynomial

**Intermediate
Algebra Tutorial 29: Factoring
Special Products**

This tutorial covers:

- factoring a perfect square trinomial
- factoring a difference of squares
- factoring a sum or difference of cubes
- applying the factoring strategy to factor a polynomial completely

**Quadratic Equations
**

** College
Algebra Tutorial 17: Quadratic
Equations**

This tutorial covers:

- solving quadratic equations by factoring
- solving quadratic equations by the square root method
- solving quadratic equations by completing the square
- solving quadratic equations by using the quadratic formula
- finding the discriminant of a quadratic equation and use it to tell how many and what type of solutions the equation has

** Geometry**

Ahhhhh, a relief from algebra. This section
covers the basics of geometry. You do not need to know how to do geometry proofs
for the test - YEAH!!! After completing this section, **you
will be able to write funny little cartoons like this one (ha, ha - I
just couldn't resist).**

**SPECIAL
NOTE: **

**The geometry area covers:**

**Problems with Geometric Figures
**

** Beginning
Algebra Tutorial 32: Formulas**

This tutorial covers:

- solving a formula for a given variable
- solving problems involving formulas for two- and three- dimensional figures

** Intermediate
Algebra Tutorial 9: Formulas
and Problem Solving**

This tutorial covers:

- solving a formula for a given variable
- using Polya's four step process to solve word problems involving formulas

**Problems with Geometric Concepts
**

** Beginning
Algebra Tutorial 33: Basic
Geometry**

This tutorial covers:

- knowing what a line is
- identifying the different types of angles
- finding a complimentary angle to a given angle
- finding a supplementary angle to a given angle
- knowing what a polygon is
- knowing what a quadrilateral is
- identifying types of triangles
- finding the value of a corresponding angle or side given congruent figures
- finding the value of a corresponding angle or side given similar figures
- knowing the relationship of the angles formed when a transversal cuts through two parallel lines
- identifying parts of a circle

** Problem Solving**

Whether you like it or not, whether you are going to be
a mother, father, teacher, computer programmer, scientist, researcher, business owner,
coach, mathematician, manager, doctor, lawyer, banker (the list can go on and
on) problem solving is everywhere. Some people think that you
either can do it or you can't.
Contrary to that belief, it can be a learned trade. Even the best
athletes and musicians had some coaching along the way and lots of
practice. That's what it also takes to be good at problem solving. So don't savor the mystery of a good
problem, but get in there and solve it!

**SPECIAL
NOTE: **

You need to **go
to all the links** that are under each topic for
fundamental mathematics to get the full benefit.

**The problem solving area covers:**

** Beginning
Algebra Tutorial 35: Reasoning Skills**

This tutorial covers:

- using inductive reasoning to solve problems
- finding the next terms in a sequence
- using deductive reasoning to solve problems

**WTAMU** **> Virtual Math Lab > **THEA/ACCUPLACER

**Disclaimer:**

Note that we can not
guarantee that you will pass your test after going through any of the tutorials
in this website. However, it will definitely help you to better
understand the topics covered. WTAMU and Kim Seward are not responsible
for how a student does on any test for any reason including not being able
to access the website due to any technology problems.

THEA is the registered
trademark of National Evaluation Systems, Inc. (NES). The material here has
neither been reviewed nor endorsed by NES.

ACCUPLACER is the registered trademark of the College Entrance Examination Board (CEEB). The material here has neither been reviewed nor endorsed by the CEEB.

Throughout this website, we link to various outside sources. WTAMU and Kim Seward do not have any ownership to any of these outside websites and cannot give you permission to make any kind of copies of anything found at any of these websites that we link to. It is purely for you to link to for information or fun as you go through the study session. Each of these websites have a copy right clause that you need to read carefully if you are wanting to do anything other than go to the website and read it. We discourage any illegal use of the webpages found at these sites.

All contents **copyright** (C) 2003 - 2008, WTAMU and Kim Seward. All rights reserved.

Last revised on August 8, 2008 by Kim Seward.

Last revised on August 8, 2008 by Kim Seward.