1. Today 9/24 1st Half 2nd Half Notes on CCML
Benchmark 4 – Again …. Take Notes
Homework on Benchmark 4
2nd Half
Continue BM # 4
Whiteboards
Homework on Benchmark 4

2. This SATURDAY 8:00 am

8. 6

14. Benchmark # 4

15. Benchmark # 4
I Can ...
Use the properties of operations to generate expressions and also recognize when expressions are equivalent

16. Expression …….
Numbers, symbols and operators (such as + and ) grouped together that show the value of something.

17. Equivalent
Is equal to
Has the same value

18. Are these two expressions equivalent ?
= 4 + (2 + 1)2 ?

19. Stations

26. Distributive property
The process of distributing the number on the outside of the parentheses to each term on the inside.
Distributive property

27. a(b + c) = ab + ac and (b + c) a = ba + ca

28. Example #1
5(x + 7)
5 • x + 5 • 7
5x + 35
This is an expression

29. Example #2
3(m - 4)
3 • m - 3 • 4
3m - 12
Example #3
-2(y + 3)
-2 • y + (-2) • 3
-2y + (-6)
-2y - 6

30. Which statement demonstrates the distributive property incorrectly?
3(x + y + z) = 3x + 3y + 3z
(a + b) c = ac + bc
5(2 + 3x) = x
6(3k - 4) = 18k - 24
Answer Now

32. A term is a 1) number, 2) variable, or
3) a product / quotient of numbers and variables.
Example 5 m
2x2

33. the numerical part of the term.
The coefficient is
the numerical part of the term.
Examples
1) 4a 4
2) y2 1 3)

34. Like Terms are terms with the same variable AND exponent.
To simplify expressions with like terms, simply combine the like terms.

35. Are these like terms? 1) 13k, 22k Yes, the variables are the same.
2) 5ab, 4ba
Yes, the order of the variables doesn’t matter.
3) x3y, xy3
No, the exponents are on different variables.

36. Which of the following is the simplified form of -4x + 7x ?
Answer Now

37. 5a and a are like terms
and
are like terms
The above expression simplifies to:

38. Simplify 1) 5a + 7a 12a 2) 6.1y - 3.2y 2.9y 3) 4x2y + x2y 5x2y
4) 3m2n + 10mn2 + 7m2n - 4mn2
10m2n + 6mn2

39. 5) 13a + 8a + 6b
21a + 6b
6) 4d + 6a2 - d + 12a2
18a2 + 3d 7) y

41. Which of the following is the simplified form of 5x - 4 - 7x + 14 ?
Answer Now

42. If a triangle has sides 3x - 2, 5 - x and 2x - 5, what is the perimeter of the triangle?
Answer Now

43. Which figure below models the simplification of - 4x - 5 + 7x + 7 using these tiles?
Answer Now

44. Bonus! Which of the following is the simplified form of a + 3a - 4(9 - a) ?
-36
3a - 36
8a - 36
8a + 36
Answer Now

45. Benchmark # 5
I CAN
Use properties to evaluate algebraic expressions including those with exponents.

46. Same as benchmark # 4  use PEMDAS to help you evaluate expressions by pluggin’ & chuggin’

47. Example