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 The Hindus in India organized algebra into a formal system.

Basics  We will meet Monday – Friday from 1 – 4pm  There is no class Tue., June 16  Last class is Thur., July 2  If the door is locked, you can call 515-341-3763  Bring paper, pen/pencil, workbook, & calculator.

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 The Hindus in India organized algebra into a formal system.

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  1. Basics We will meet Monday – Friday from 1 – 4pm There is no class Tue., June 16 Last class is Thur., July 2If the door is locked, you can call 515-341-3763 Bring paper, pen/pencil, workbook, & calculator

  2.  You will not receive official credit for the class, but… You must master the material and pass the tests/quizzes to continue into Geometry in the fall.

  3.  Notes and assignments will be archived at http://bggoldenbears.org/summeralgebra/  You can e-mail me at burrowd@bishopgarrigan.org If you are gone, you are responsible for what you miss.

  4. Algebra is one of the oldest branches of mathematics First developed about 4,000 years ago by the ancient Babylonians

  5.  The Hindus in India organized algebra into a formal system.

  6.  During the Middle Ages, the Arabs spread algebra across north Africa and into Spain, which is where we got it from.

  7. The word algebra literally means “simplifying”. originally an Arabic medical term

  8. The main thing we do in algebra is to take complicated expressions and simplify them.3x + 5(4x – 2) – 2(x – 4) = 4(2x – 7 + 3x) x = -26

  9. Algebra is the language of science.We apply ideas from algebra in almost every field.

  10. Variable

  11. VariableA symbol (usually a letter) that can stand for any number

  12. A variable is different from a constant, which is a symbol that stands for some specific number.

  13. Numerical ExpressionJust have numbers 2 + 2 35 – 63Algebraic ExpressionInclude variables 3x + 2y n2 + 7n – 1

  14. We often use algebraic expressions to change words into symbols, which allows us to solve problems.

  15. What words mean …+–X=

  16. sumtotalincreased bymore thangreaterlongerfartherolder

  17. differencedecreased bylessshortercloseryounger

  18. producttwicehalfofby

  19. quotientsharedsplitper

  20. most verbs

  21. You can use variables to identify patterns

  22. 1  42  73  104  13n  ?

  23. 1  42  73  104  13n  3n + 1

  24. Evaluating ExpressionsThe most common tool for evaluating expressions is the order of operations.

  25. Order of Operations

  26. Parentheses AND other grouping symbol

  27. Parentheses AND other grouping symbols brackets

  28. Parentheses AND other grouping symbols brackets fraction bar

  29. Parentheses AND other grouping symbols brackets fraction bar root symbols

  30. Exponents ANDroots

  31. Multiplication and division(same time – left to right)

  32. Addition and subtraction(same time – left to right)

  33. Evaluate 3x + y2 if x = -2 and y = -3

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