1. Equations with Variables on Both Sides
Algebra

2. Example

4. Example

5. Practice

6. Practice

7. Calculator Exploration6
Calculator Exploration

8. Calculator Exploration
Values in Expressions
False,
The expressions never equal
Calculator Exploration

9. Calculator Exploration
The right is always five greater
Calculator Exploration

10. Calculator Exploration
Could you find a solution to the equation
No, the expression on the right will ALWAYS be five more than the expression on the left
Calculator Exploration

11. Calculator Exploration

12. Calculator Exploration

13. Calculator Exploration

14. Calculator Exploration
Could you find a solution to the equation
X = -5
Calculator Exploration

15. Calculator Exploration

16. Calculator Exploration

17. Calculator Exploration
Expressions change, the totals are always the same
Calculator Exploration

18. Calculator Exploration
Infinite
Calculator Exploration

19. Calculator Exploration
Simplify the equation on the right with the distributive property and combining like terms
Does this justify the infinite answer?
Yes, both equations are exactly the same
Calculator Exploration

20. Calculator Exploration - Summary
Describe the characteristics of an equation that would have each of the possible solution sets.
No Solution
One Solution
Infinite Solutions
Variables have same coefficients, but different constants in the equations
Variables have different coefficients
Expressions on each side are identical when simplified
Calculator Exploration - Summary

21. No solution – When no value for the variable will make the equation true
Identity – When every value for the variable will make the equation true
Vocabulary

22. Example

23. Example

24. Practice

25. Practice

26. Practice

27. Practice

28. Summary

29. Pages 98 – 101
28 – 38 all, 70
Homework