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
Tells how many times the base appears in the expression.
exponent
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
Louisa is building a sandbox that has an area of 84 square feet. What are the possible whole number measurements for the length and width of the sandbox?
1, 84; 2, 42; 3, 28; 4, 21; 6, 14; 7, 12
Simplify: -4k - 3k + 11 - 5
-7k + 6
Substituting a number for a variable in an expression and finding the answer.
evaluating
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!!!)
Hans is doing a science experiment in which he measures the rate at which bacteria multiply. Every 15 seconds, the bacteria double in number. If there are 10 bacteria now, how many will there be in 2 minutes?
2,560 bacteria
Simplify: -8y + 5y - 2 + 12 + 6y
3y + 10
The rules which tell which calculations are done before others in an expression.
Order of Operations
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.
$2,500 + $700c
Simplify:
(-48m)/(-6m)
8
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
Angela earns x dollars an hour. On Friday, she worked 6 hours. On Saturday, she worked 8 hours. Which expression shows how much she earned both days?
6x + 8
8x × 6x
(6 + 8)x
(6+8)/x
(6 + 8)x