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 More Math Activities EnchantedLearning.comAlgebra

Algebra is the study of generalized arithmetic. Algebra lets you solve puzzles and problems that would be very difficult to solve otherwise. In algebra, unknown numbers can be represented by letters (called variables) in order to solve equations. For example, 4 + x = 10 is true when x=6.

Variables together with mathematical symbols and operations can replace verbal statements. For example, the statement, "The area of a rectangle is the product of the legth and the width" can be summarized by the algebraic statement, "A=l x w."

This is a practical example of algebra being useful. If you want to go to a gym occasionally, but need to decide if you should pay \$5 per visit or get a yearly pass for \$100. Which option is best for you? This depends on how often you plan to go to the gym, but in order to make your decision, you need to figure out at which number visits these options are equal. If you go more often than this many times, you should get a membership. You can solve this problem using algebra. Let v equal the number of visits.
 5v = 100 v = 20
So, if you plan on going more than 20 times this year, joining the gym will save you money. If you plan on going fewer than 20 times this year, don't join, simply pay the \$5 per visit fee to save money.

Algebra (originally called al-jabr, meaning "restoration") was invented in the Middle East by Abu Ja'far Muhammad ibn Musa Al-Khwarizmi (born in Baghdad about AD 825) during the Middle Ages.

Algebra Topics:

1. Introduction to Algebra:
• Symbols Used in Arithmetic for Operations (addition +, subtraction -, multiplication x, (), or no sign, division ÷, /)
• Order of Operations
• Commutative Property (plus using it t o simply addition anad multiplication)
• Associative Property
• Multiplicative Inverse
• Distributive Property
• Variables - representing numbers by letters
• Coefficients
• Expressions (plus replacing verbal statements with expressions for addition, subtraction, multiplication, and division)
• Adding and Subtracting Variables (plus stating products without using multiplication sign)
• Multiplying and Dividing Variables (plus not dividing by zero)
• Parentheses
• Factors
• Base to an Exponent Equals a Power
• Like and Unlike Terms
• Absolute Value
• Terms Used in Algebra
2. Simple Equations and How to Solve Them
• ccc

Worksheets:
Introduction to Albebra - Worksheets to Print
 +, - EnchantedLearning.comMath x, ÷
 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
 Number Line Fractions Decimals Measurement Rounding Graphs

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