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Mastering Multi-Step Linear Equations and Functions in Algebra

This resource focuses on developing algebraic thinking competencies by teaching students how to solve, check, and graph multi-step linear equations and inequalities in one variable, including those with rational coefficients. It includes strategies for working through problems independently, using substitution properties with answer choices, and understanding the relationships between independent and dependent variables. Additional instruction covers absolute value equations, analyzing functions' domains and ranges, and applying graphical methods to real-world situations.

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Mastering Multi-Step Linear Equations and Functions in Algebra

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Presentation Transcript

  1. Algebra ICommandments Algebraic Thinking Competency 2

  2. Solve, check, and graph multi-step linear equations and inequalities in one variable, including rational coefficients in mathematical and real-world situations Objective 2a – DoK 2

  3. Testing Hints: Circle important information Eliminate answer choices Strategies: Work out on your own and compare steps Use substitution property with answer choices to see what works Objective 2a – DoK 2

  4. C

  5. B

  6. D

  7. F

  8. F

  9. B

  10. B

  11. F

  12. Solve and graph absolute value equations and inequalities in one variable Objective 2b – DoK 2

  13. Testing Hints: Circle important information Eliminate answer choices Strategies: Work out on your own and compare steps Use substitution property with answer choices to see what works Objective 2b – DoK 2

  14. B

  15. D

  16. J

  17. J

  18. F

  19. J

  20. H

  21. H

  22. Analyze the relationship between x and y values, determine whether a relation is a function, and identify domain and range Objective 2c – DoK 2

  23. Testing Hints: Circle important information Eliminate answer choices Vocabulary: Domain – x-values Range – y-values Function – No x-values repeat; passes the vertical line test Objective 2c – DoK 2

  24. F

  25. H

  26. H

  27. H

  28. A

  29. C

  30. Explain and illustrate how a change in one variable may result in a change in another variable and apply to the relationships between independent and dependent variables Objective 2d – DoK 2

  31. Testing Hints: Circle important information Eliminate answer choices Strategies: Solve for y (y=) Use the y = button to input the equation; get the table values to identify the change Objective 2d – DoK 2

  32. B

  33. B

  34. C

  35. D

  36. D

  37. F

  38. F

  39. B

  40. Graph and analyze linear functions Objective 2e – DoK 2

  41. Testing Hints: Circle important information Eliminate answer choices Strategies: Solve for y (y=); AKA: slope-intercept form Use the y = button to input the equation; get the table values to identify the coordinates or graph to see a solution Objective 2e – DoK 2

  42. C

  43. C

  44. B

  45. J

  46. J

  47. A

  48. F

  49. C

  50. Use algebraic and graphical methods to solve systems of linear equations and inequalities in mathematical and real-world situations Objective 2f – DoK 2

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