1. Algebra 1 Notes: Lesson 1-1: Variables and Expressions

2. Today’s Objectives Write mathematical expressions 5x + 45
Write verbal expressions
Five times a number increased by 45

3. Algebraic Expressions
m  5n
3ab  5cd

4. Key Word Worksheet

5. Example 1 Write an algebraic expression for each verbal expression:
eight more than a number n

6. Example 1 Write an algebraic expression for each verbal expression:
eight more than a number n 8

7. Example 1 Write an algebraic expression for each verbal expression:
eight more than a number n 8

8. Example 1 Write an algebraic expression for each verbal expression:
eight more than a number n
8 +

9. Example 1 Write an algebraic expression for each verbal expression:
eight more than a number n
8 +

10. Example 1 Write an algebraic expression for each verbal expression:
eight more than a number n n

11. Example 1 Write an algebraic expression for each verbal expression:
eight more than a number n n
8 + n

12. Example 1 Write an algebraic expression for each verbal expression:
b. one third of the size of the original area a

13. Example 1 Write an algebraic expression for each verbal expression:
b. one third of the size of the original area a

14. Example 1 Write an algebraic expression for each verbal expression:
b. one third of the size of the original area a

15. Example 1 Write an algebraic expression for each verbal expression:
b. one third of the size of the original area a ×

16. Example 1 Write an algebraic expression for each verbal expression:
b. one third of the size of the original area a ×

17. Example 1 Write an algebraic expression for each verbal expression:
b. one third of the size of the original area a
× a

18. Example 1 Write an algebraic expression for each verbal expression:
b. one third of the size of the original area a
 a

19. Vocabulary
Power - bn
Base - b
Exponent - n

20. Powers 42
base exponent

21. Vocabulary
Evaluate – Find the value

22. Example 2
Evaluate the following powers: 34 82

23. Example 2
Evaluate the following powers:
34 = 3 · 3 · 3 · 3 82

24. Example 2
Evaluate the following powers:
34 = 3 · 3 · 3 · 3 = 81 82

25. Example 2 Evaluate the following powers: 34 = 3 · 3 · 3 · 3 = 81
82 = 8 · 8

26. Example 2 Evaluate the following powers: 34 = 3 · 3 · 3 · 3 = 81
82 = 8 · 8 = 64

27. Example 3 Write a verbal expression for each algebraic expression.
Written to Verbal
4m3

28. Example 3 Write a verbal expression for each algebraic expression.
4m3 (look for an operation first)

29. Example 3 Write a verbal expression for each algebraic expression.
4m3 (look for an operation first)
the product of

30. Example 3 Write a verbal expression for each algebraic expression.
4m3 (look for an operation first)
the product of

31. Example 3 Write a verbal expression for each algebraic expression.
4m3 (look for an operation first)
the product of 4 and

32. Example 3 Write a verbal expression for each algebraic expression.
4m3 (look for an operation first)
the product of 4 and

33. Example 3 Write a verbal expression for each algebraic expression.
4m3 (look for an operation first)
the product of 4 and m to the third power

34. Example 3 Write a verbal expression for each algebraic expression.
4m3 (look for an operation first)
the product of 4 and m to the third power
OR the product of 4 and m cubed

35. Example 3 Write a verbal expression for each algebraic expression.
b) c2 + 21d

36. Example 3 Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of

37. Example 3 Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of

38. Example 3 Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and

39. Example 3 Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and

40. Example 3 Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and 21 times d

41. Example 3 Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and 21 times d

42. Assignment: Pg. 8: 12-40 Evens