Introduction To Algebra

What is Algebra? : 

What is Algebra? Algebra is a branch of mathematics which uses symbols in place of numbers. It provides a simple shorthand way of writing expressions, finding rules and solving problems that deal with unknown quantities. Algebra dates back 4000 years to Ancient Egyptian and Babylonian times. It was extended by Alexandrian mathematicians which included some very difficult equations.

Expressions : 

Expressions An expression is a mathematical term or a sum or difference of mathematical terms that may use numbers, variables, or both. The following are examples of expressions: 2xy+5 Roland weighs 70 kilograms, and Mark weighs k kilograms. Write an expression for their combined weight. The combined weight in kilograms of these two people is the sum of their weights, which is 70 + k.

Basics of an Equation : 

Basics of an Equation An equation must always be balanced like the scale on the right. Instead of keeping the scale balanced with weights, constants are used. These numbers are called constants because they constantly have the same value. For example the number 47 always represents 47 units or 47 multiplied by an unknown number. It never represents another value.

Basics of an Equation : 

Basics of an Equation The diagram on the right shows a basic equation. This equation is similar to problems which you may have done in ordinary mathematics such as: __ + 23 = 45 When written algebraically the problem would be: x + 23 = 45 And the answer should be written:x = 22