Combining Like Terms
Simplify: 3a - 7a
-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
(DOUBLE POINTS!!!)
Is the following a proportional relationship?
5/7 = 20/35
No
Simplify: -4xy - 3xy + 11 - 5
-7xy + 6
Distribute & Simplify: 2a(5 - 7m) - 40am
10a - 54am
The Math Properties (Associative, Commutative, Identity, Distributive) can only be used when....
(Hint: Think Math OPERATIONS!)
Adding and Multiplying
-56ay - 8a
Let a = 3, y = 8
-56(3)(8) - 8(8)
-1,344 - 64
-1,408
(DOUBLE POINTS!!!)
Simplify using PEMDAS:
(3 - 1)^2/(20 - 2^2)
1/4
Simplify: -8y + 5y - 2 + 12 + 6y
3y + 10
Distribute: -4a(3m - 6n + c)
-12am + 24an - 4ac
Name the Property:
7,891 x 1 = 7,891
Multiplicative 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
A car salesman has a basic salary of $2,500 a month. For every car sold, he gets a commission of $700. Let c be the number of cars that he sells in a month. Write an expression showing his monthly salary in terms of c.
(DOUBLE POINTS!!!)
$2,500 + $700c
Simplify:
(-48m)/(-6)
8m
Distribute & Simplify:
-2(x - 3y) + 6(x - y + 3)
4x + 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
Simplify:
9(y - z) - [5y - z -3(2y - 4z)]
(DOUBLE POINTS!!!)
10y - 20z