Notes for Algebra 1

1. Notes for Algebra 1 Chapter 1

2. 1-1 Notes Algebra 1 Variables and Expressions

3. Algebraic Expression Consist of variables, numbers and operations.

4. Variables Symbols or letters used to represent unspecified numbers and values.

5. Term May be a number or variable or a product or quotient of numbers and variables.

6. Factors The quantities being multiplied in a multiplication expression

7. Product The answer to a multiplication expression

8. Exponent (power) Indicates the number of times the base is used as a factor.

9. Base The number that is used as a factor in an exponential expression

10. Exponent-4 Base-2 (2)(2)(2)(2) = 16

11. Example 1 pg. 5 Write a verbal expression Write a verbal expression for each algebraic expression. 1.) 2.)

12. Example 1 pg. 5 Write a verbal expression Write a verbal expression for each algebraic expression. 1.) eight times x squared 2.) the difference of y to the fifth power and 16 times y

13. Example 2 pg. 6 Write Algebraic Expressions Write an algebraic expression for each verbal expression. 1.) 5 less than a number c 2.) 9 plus the product of 2 and d 3.) two fifths of the area a

14. Example 2 pg. 6 Write Algebraic Expressions Write an algebraic expression for each verbal expression. 1.) 5 less than a number c 2.) 9 plus the product of 2 and d 3.) two fifths of the area aor

15. Example 3 pg. 6 Write an expression Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets

16. Example 3 pg. 6 Write an expression Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets a = the cost of adult tickets, s = the cost of student tickets

17. 1-1 pg. 7 11-33o, 34-40, 43-61(x3)

18. 1-2 Notes Algebra 1 Order of Operations

19. Evaluate Means to find the value of an expression.

20. Example 1 pg. 10 Evaluate Expressions Evaluate

21. Example 1 pg. 10 Evaluate Expressions Evaluate 64

22. Order of Operations (PEMDAS) When there is more than one operation in an expression this tells you which operation to do first. P—Parenthesis (Evaluate expressions inside grouping symbols.) E—Exponents (Evaluate all Powers) MD—Multiply and/or Divide from left to right. AS—Add and/or Subtract from left to right.

23. Example 2 pg. 10 Order of Operations Evaluate

24. Example 2 pg. 10 Order of Operations Evaluate 23

25. Example 3 pg. 11 Expressions with Grouping Symbols Evaluate each expression. 1.) 2.) 3.)

26. Example 3 pg. 11 Expressions with Grouping Symbols Evaluate each expression. 1.) 75 2.) 36 3.) 2

27. Example 4 pg. 11 Evaluate an Algebraic Expression Evaluate if x = 4, y = 3 and z = 2.

28. Example 4 pg. 11 Evaluate an Algebraic Expression Evaluate if x = 4, y = 3 and z = 2. 30

29. Example 5 pg. 12 Write and Evaluate an Expression Architecture: Each side of the Great Pyramid of Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h. a.) Write an expression that represent the area of one side of the Great Pyramid. b.) Find the area of one side of the Great Pyramid.

30. Example 5 pg. 12 Write and Evaluate an Expression Architecture: Each side of the Great Pyramid of Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h. a.) Write an expression that represent the area of one side of the Great Pyramid. b.) Find the area of one side of the Great Pyramid. 21,505

31. 1-2 pg. 13 15-35o, 36-38, 39-53o, 66-81(x3)

32. Notes for Algebra 1 Chapter 1

33. 1-1 Notes Algebra 1 Variables and Expressions

34. Algebraic Expression Consist of variables, numbers and operations.

35. Variables Symbols or letters used to represent unspecified numbers and values.

36. Term May be a number or variable or a product or quotient of numbers and variables.

37. Factors The quantities being multiplied in a multiplication expression

38. Product The answer to a multiplication expression

39. Exponent (power) Indicates the number of times the base is used as a factor.

40. Base The number that is used as a factor in an exponential expression

41. Exponent-4 Base-2 (2)(2)(2)(2) = 16

42. Example 1 pg. 5 Write a verbal expression Write a verbal expression for each algebraic expression. 1.) 2.)

43. Example 1 pg. 5 Write a verbal expression Write a verbal expression for each algebraic expression. 1.) eight times x squared 2.) the difference of y to the fifth power and 16 times y

44. Example 2 pg. 6 Write Algebraic Expressions Write an algebraic expression for each verbal expression. 1.) 5 less than a number c 2.) 9 plus the product of 2 and d 3.) two fifths of the area a

45. Example 2 pg. 6 Write Algebraic Expressions Write an algebraic expression for each verbal expression. 1.) 5 less than a number c 2.) 9 plus the product of 2 and d 3.) two fifths of the area aor

46. Example 3 pg. 6 Write an expression Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets

47. Example 3 pg. 6 Write an expression Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets a = the cost of adult tickets, s = the cost of student tickets

48. 1-1 pg. 7 11-33o, 34-40, 43-61(x3)

49. 1-2 Notes Algebra 1 Order of Operations

50. Evaluate Means to find the value of an expression.