# Algebra Modules

## Help with Algebra Concepts

These video learning lessons are designed to provide explanation, demonstration, and practice for the specific topics taught in Math 0471, Math 0172, and Math 0372, as well as some other Algebra concepts. These lessons ARE NOT a substitute for these classes. If you are enrolled in one of these courses, attend class regularly and use these modules as a supplement. These lessons will help you:

• Review previously learned material in preparation for a placement exam
• Review past knowledge needed for Math 1314, College Algebra or another college level course
• Supplement instruction in a transitional mathematics course

Each lesson has two parts: a short video demonstration and related practice problems. To view these lessons, you need:

• A computer with a high speed internet connection (Cable, DSL, LAN).
• Web browser or program to open worksheets

If you do not have a computer meeting these specifications, you may view these lessons on campus in the Student Success Center, Math CenterLearning Services, BC Library, or an open computer lab.

### Math 0172: Foundations of Algebra Corequisite

Perform whole number arithmetic using order of operations

Find the absolute value of an integer

Add and subtract integers

Multiply and divide integers

Solve linear equations with integers

Add and subtract fractions

Multiply and divide fractions

Simplify complex fractions

Solve equations with fractions

Add and subtract decimal numbers

Multiply and divide decimal numbers

Simply the square root of a whole number

Convert between percent, decimal, and fractions

Solve percent applications

Calculate the area and perimeter of geometric figures

Solve proportion problems

Perform unit measurement conversions

### Math 0372: Foundations of Algebra

Simplify using the order of operations

Evaluate polynomial expressions

Solve linear equations

Solve linear inequalities

Add and subtract integers

Multiply and divide integers

Graph an equation by point plotting

Add and subtract polynomial expressions

Multiply polynomial expressions

Simplify expressions using the laws of exponents

Factor by removing the greatest common factor

Factor using the difference of two squares

Factor trinomials

Solve quadratic equations with factoring

Find the absolute value of an integer

Multiply and divide two polynomials

Simplify radical expressions

Use the factor by grouping technique

Factor an expression in quadratic form

Factor a binomial using the sum or difference of cubes

Solve an absolute value equation

Solve a quadratic equation

### Math 0471: Foundations of Math

Perform whole number arithmetic using order of operations

Find the absolute value of an integer

Add and subtract integers

Multiply and divide integers

Solve linear equations with integers

Add and subtract fractions

Multiply and divide fractions

Simplify complex fractions

Solve equations with fractions

Add and subtract decimal numbers

Multiply and divide decimal numbers

Simplify the square root of a whole number

Calculate the area and perimeter of geometric figures

### Other Algebra Concepts

Translate statements into an algebraic representation

Solve application problems using an algebraic equation

Add and subtract rational expressions

Multiply and divide rational expressions

Add and subtract radical expressions

Multiply two radical expressions

Describe a set of real numbers in interval and set builder notation

Find the intersection and union of two sets

Solve a linear equation

Solve a literal equation

Solve a linear inequality and describe the solution in interval notation

Set up and solve a linear application

Find the slope and equation of a line given two points

Graph the equation of a line

Graph a linear inequality

Solve a system of linear equations

Simplify monomial expressions with integral exponents

Solve equations involving rational expressions

Simplify expressions with rational exponents

Simplify radical expressions