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Course Summary

This course provides a brief review of introductory algebra topics. Topics to be covered include integer operations, order of operations, perimeter and area, fractions and decimals, scientific notation, ratios and rates, conversions, percents, algebraic expressions, linear equations, the Pythagorean theorem, and graphing.

Why Take This Course?

At the end of this course students will have reviewed the core topics of introductory algebra. Students will be comfortable with the concepts and procedures of introductory algebra, and be able to apply their knowledge to other coursework and real-world problems.

During this course, you will review

Integer operations including addition, subtraction, multiplication, division, and absolute value. Evaluating using order of operations. Associative and Commutative properties. Perimeter and area of rectangles, triangles, squares, and circles. Fraction operations including simplifying, adding, subtracting, multiplying, and dividing. Converting between fractions, decimals, and percents. Rounding decimals to appropriate place value. Converting between standard notation and scientific notation. Rates and ratios. Unit conversions. Simplifying and evaluating algebraic expressions. Using the Pythagorean Theorem. Solving and graphing linear equations. Writing linear equations.

Prerequisites and Requirements

This is a review course, it is expected that students will have some previous knowledge of most topics covered in the course.

Made possible through a grant from the Bill and Melinda Gates Foundation.

See the Technology Requirements for using Udacity.


Topic 1: Integer Operations

  • Properties of Integers
  • Absolute Value
  • Adding, Subtracting, Multiplying & Dividing
  • Order of Operations
  • Perimeter and Area of Rectangles, Squares & Triangles

Topic 2: Fractions and Decimals

  • Simplifying Fractions
  • Mathematical Operations with Fractions
  • Rounding Decimals
  • Decimals and Applications
  • Fraction to Decimal Conversion
  • Scientific Notation

Topic 3: Rates, Ratios, and Conversions

  • Ratios
  • Rates
  • Unit Conversions
  • Percents

Topic 4: Algebraic Expressions and Equations

  • Algebraic Expressions
  • Solving a Linear Equation
  • Pythagorean Theorem

Topic 5: Graphing Linear Equations

  • Graphing a Linear Equation
  • Slope of a Line
  • Writing a Linear Equation
  • Slope and Slope-Intercept Form

Instructors & Partners

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Kelly Vetter


Kelly Vetter is an instructor at Wake Technical Community College. She has a B.S. in Mathematics Education and a Certificate in E-Learning from North Carolina State University. She has taught math for a total of 17 years and has been teaching developmental math for 12 of those years. She has taught in various formats including the classroom, online, and hybrid courses.

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Sue Ann Austin


Sue Ann Austin is an instructor at Wake Technical Community College. She has taught developmental math for 4 years and prior to that was a high school math teacher. She has a B.S. in Applied Mathematics from Carnegie-Mellon University and completed the NC Teach program at North Carolina State University. She was a software engineer for 15 years prior to entering the field of education.

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Andy Brown


Andy Brown is a Lead Instructor at Udacity. He has a degree in physics from MIT, and has devoted his time after graduating to teaching and learning. Since joining Udacity in 2012, Andy has helped design dozens of classes. He loves exploring this new educational medium by creating innovative and engaging courses. When he’s not figuring out the best ways to transform minds, you can find Andy on his bike or in his car, exploring the amazing experiences that his new California home has to offer.

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