1. Chapter 3 Solving Linear Equations

2. Throughout mathematics, you encounter many types of equations.

3. Throughout mathematics, you encounter many types of equations. some with only 1 variable (one unknown value)

4. Throughout mathematics, you encounter many types of equations. some with only 1 variable (one unknown value) AND

5. Throughout mathematics, you encounter many types of equations. some with only 1 variable (one unknown value) AND some with 2 variables

6. Throughout mathematics, you encounter many types of equations. some with only 1 variable (one unknown value) AND some with 2 variables … and guess what?

7. some have MANY variables, and exponents, and radicals, and lots of other “cool” stuff…

8. some have MANY variables, and exponents, and radicals, and lots of other “cool” stuff…

9. some have MANY variables, and exponents, and radicals, and lots of other “cool” stuff… Don’t worry. We’re not ready for that one… yet!

10. Formulas are a type of equation.

11. Formulas are a type of equation. Recognize these?

12. Formulas are a type of equation. Recognize these?

13. Formulas are a type of equation. Recognize these?

14. Formulas are a type of equation. Recognize these?

15. Equations (and formulas) are used to represent real-world situations. If you want to know what score you need on a semester exam to earn a particular final grade, we can write and solve an equation to find the answer. We’ll solve this type of problem later this semester.

16. …equations can help us do magic

17. …equations can help us do magic!! More on that later…

18. By the end of the semester, you will be able to:

19. solve a multi-step equation, with variables on both sides of the equal sign

20. By the end of the semester, you will be able to: solve a multi-step equation, with variables on both sides of the equal sign

21. By the end of the semester, you will be able to: solve a multi-step equation, with variables on both sides of the equal sign represent real-world situations using equations

22. By the end of the semester, you will be able to: solve a multi-step equation, with variables on both sides of the equal sign represent real-world situations using equations rewrite equations and formulas

23. By the end of the semester, you will be able to: solve a multi-step equation, with variables on both sides of the equal sign represent real-world situations using equations rewrite equations and formulas determine how many solutions an equation has

24. By the end of the semester, you will be able to: solve a multi-step equation, with variables on both sides of the equal sign represent real-world situations using equations rewrite equations and formulas determine how many solutions an equation has write your own “magic number” trick

25. PLUS… we’re going to solve this challenging problem

26. PLUS… we’re going to solve this challenging problem

27. PLUS… we’re going to solve this challenging problem step – by – step

28. PLUS… we’re going to solve this challenging problem step – by – step …and you ALREADY know how to simplify most of it!!

29. Anyone up for the challenge?