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Intro Algebra Review | A Quick Refresher

Online Free Online Course by  Udacity
Online / Free Online Course

Details

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.

Outline

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
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