Combining Like Terms
Simplify: 7a-3a
4a
Distribute: 2(3 + 6n)
6 + 12n
Name the Property:
3 + 4 = 4 + 3
Commutative Property
Evaluate the Expression: 6a + 3b
Let a = 4 ; b = 5
6(4) + 3(5)
24 + 15
39
Simplify using PEMDAS:
5(3+22) + 7
(DOUBLE POINTS!!!)
42
Simplify: 4c + 8c - 12c
0
Distribute: 5(6m - 9)
30m - 45
Name the Property:
3x + (2x + 4x) = (3x + 2x) + 4x
Associative Property
Evaluate the Expression: 28e - 21f + 23
Let e = 9, f = 2
28(9) - 21(2) + 23
252 - 42 + 23
210 + 23
233
What is Mrs. Horner's show size? Hint: 23
8
Simplify: 4k - 3k + 11 - 5
1k + 6
Distribute & Simplify: 40a- 2a(7+5)
16a
The Math Properties (Associative, Commutative, Identity, Distributive) can only be used with what operations?
Adding and Multiplying
56ay - 8a
Let a = 3, y = 8
56(3)(8) - 8(8)
1,344 - 64
1,408
Flippity Floppy equals what property???
Commutative
Simplify: 8y + 5y + 2 + 12 + 6y
19y + 14
Distribute: 4a(3 - 6 + 1)
12a - 24a + 4a
Name the Property:
7,891 x 1 = 7,891
Identity Property
Factor: 12a - 8b + 20c - 19d
Let a = 6 ; b = 3 ; c = 2 ; d = 5
12(6) - 8(3) + 20(2) - 19(5)
72 - 24 + 40 - 95
48 + 40 - 95
88 - 95
-7
What does PEMDAS standard for? I need the sentence AND the operations!
P-Please ()
E-Excuse 44
MD- My Dear Multiplication/Division from L to R
AS-Aunt Sally Addition/Subtraction from L to R
Simplify:
(48m)/(6m)
8
Distribute & Simplify:
2(x + 3y) + 6(x + y + 3)
8x + 9y + 18
Distribute:
3(4y + 7n + 12)
12y + 21n + 36
Evaluate the Expression: 12nx + 21ny + 36ny - 24nz
Let n = 3; x = 1; y = 2, z = 6
12(3)(1) + 21(3)(4) + 36(3)(2) - 24(3)(6)
36 + 252 + 216 - 432
216 + 216 - 432
432 - 432
0
Factor the expression
9x + 36y
9(x + 4y)