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Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
Open Sentences (Algebra1 1_3)
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Open Sentences (Algebra1 1_3)

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Students are introduced to open sentences and inequalities.

Students are introduced to open sentences and inequalities.

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  • 1. Open Sentences
  • 2. What You'll Learn Vocabulary 1) open sentence 2) solving an open sentence 3) solution 4) equation 5) replacement set Open Sentences
    • Solve open sentence equations.
    • Solve open sentence inequalities.
    6) set 7) element 8) solution set 9) inequality
  • 3. Open Sentences The Homeowners Association is planning a community-wide garage sale, and their advertising budget is $135.
  • 4. Open Sentences The Homeowners Association is planning a community-wide garage sale, and their advertising budget is $135. The expression 15.50 + 5 n can be used to represent the cost of purchasing n + 1 kits.
  • 5. Open Sentences The Homeowners Association is planning a community-wide garage sale, and their advertising budget is $135. The expression 15.50 + 5 n can be used to represent the cost of purchasing n + 1 kits. The open sentence, 15.50 + 5n < 135 can be used to ensure that the budget is met.
  • 6. Open Sentences A mathematical statement with one or more variables is called an _____________.
  • 7. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence
  • 8. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence An open sentence is neither true nor false until the variables have been replaced by specific values.
  • 9. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________.
  • 10. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence
  • 11. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence The replacement value is called a ________ of the open sentence.
  • 12. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence The replacement value is called a ________ of the open sentence. solution
  • 13. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence The replacement value is called a ________ of the open sentence. solution A sentence that contains an equals sign =, is called an _________.
  • 14. Open Sentences A mathematical statement with one or more variables is called an _____________. open sentence An open sentence is neither true nor false until the variables have been replaced by specific values. The process of finding a value for a variable that results in a true sentence is called _______________________. solving the open sentence The replacement value is called a ________ of the open sentence. solution A sentence that contains an equals sign =, is called an _________. equation
  • 15. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________.
  • 16. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set
  • 17. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers.
  • 18. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers. set
  • 19. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. set
  • 20. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. Each object or number in the set is called an ________, or member. set
  • 21. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. Each object or number in the set is called an ________, or member. element set
  • 22. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. Each object or number in the set is called an ________, or member. element set The ____________ of an open sentence is the set of elements from the replacement set that make an open sentence true .
  • 23. Open Sentences A set of numbers from which replacements for a variable may be chosen is called a ________________. replacement set A ____ is a collection of objects or numbers. A set is often shown using brackets { } and is usually name by a capital letter. solution set Each object or number in the set is called an ________, or member. element The ____________ of an open sentence is the set of elements from the replacement set that make an open sentence true . set
  • 24. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }.
  • 25. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. True or False 6n + 7 = 37 n
  • 26. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6( 3 ) + 7 = 37 False True or False 6n + 7 = 37 n
  • 27. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6( 3 ) + 7 = 37 False 4 6( 4 ) + 7 = 37 False True or False 6n + 7 = 37 n
  • 28. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6( 3 ) + 7 = 37 False 4 6( 4 ) + 7 = 37 False 5 6( 5 ) + 7 = 37 True True or False 6n + 7 = 37 n
  • 29. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6( 3 ) + 7 = 37 False 4 6( 4 ) + 7 = 37 False 5 6( 5 ) + 7 = 37 True 6 6( 6 ) + 7 = 37 False True or False 6n + 7 = 37 n
  • 30. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. 3 6( 3 ) + 7 = 37 False 4 6( 4 ) + 7 = 37 False 5 6( 5 ) + 7 = 37 True 6 6( 6 ) + 7 = 37 False 7 6( 7 ) + 7 = 37 False True or False 6n + 7 = 37 n
  • 31. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is { 3, 4, 5, 6, 7 }. The solution set is: 3 6( 3 ) + 7 = 37 False 4 6( 4 ) + 7 = 37 False 5 6( 5 ) + 7 = 37 True 6 6( 6 ) + 7 = 37 False 7 6( 7 ) + 7 = 37 False { 5 } True or False 6n + 7 = 37 n
  • 32. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is
  • 33. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is True or False
  • 34. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is True or False
  • 35. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is True or False
  • 36. Open Sentences Example: Use a Replacement Set to Solve an Equation Find the solution set for the equation if the replacement set is True or False
  • 37. Open Sentences Example: Use a Replacement Set to Solve an Equation The solution set is: Find the solution set for the equation if the replacement set is True or False
  • 38. Open Sentences An open sentence that contains the symbol is called an ___________.
  • 39. Open Sentences inequality An open sentence that contains the symbol is called an ___________.
  • 40. Open Sentences inequality An open sentence that contains the symbol is called an ___________. Study Tip Reading Math Inequality symbols are read as follows. is less than is less than or equal to is greater than is greater than or equal to
  • 41. Open Sentences Example: Find the Solution Set of an Inequality Find the solution set for the inequality if the replacement set is
  • 42. Open Sentences Example: Find the Solution Set of an Inequality True or False Find the solution set for the inequality if the replacement set is
  • 43. Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False True or False Find the solution set for the inequality if the replacement set is
  • 44. Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False True or False Find the solution set for the inequality if the replacement set is
  • 45. Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True True or False Find the solution set for the inequality if the replacement set is
  • 46. Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True 10 18 – 10 < 10 True True or False Find the solution set for the inequality if the replacement set is
  • 47. Open Sentences Example: Find the Solution Set of an Inequality 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True 10 18 – 10 < 10 True 11 18 – 11 < 10 True True or False Find the solution set for the inequality if the replacement set is
  • 48. Open Sentences Example: Find the Solution Set of an Inequality The solution set is: 7 18 – 7 < 10 False 8 18 – 8 < 10 False 9 18 – 9 < 10 True 10 18 – 10 < 10 True 11 18 – 11 < 10 True { 9, 10, 11 } True or False Find the solution set for the inequality if the replacement set is
  • 49. Open Sentences As mentioned earlier, solution sets do not have to be numbers. Here’s an example: Consider the following open sentence. It is the name of a month between March and July.
  • 50. Open Sentences As mentioned earlier, solution sets do not have to be numbers. Here’s an example: Consider the following open sentence. It is the name of a month between March and July. Your replacement set is
  • 51. Open Sentences As mentioned earlier, solution sets do not have to be numbers. Here’s an example: Consider the following open sentence. It is the name of a month between March and July. Your replacement set is { January, February, March, April, May, June, July, August, September, October, November, December } Your solution set is
  • 52. Open Sentences As mentioned earlier, solution sets do not have to be numbers. Here’s an example: Consider the following open sentence. It is the name of a month between March and July. Your replacement set is { January, February, March, April, May, June, July, August, September, October, November, December } Your solution set is { April, May, June }
  • 53. Credits End of Lesson! PowerPoint created by http://robertfant.com Robert Fant

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