Vocab
A letter used to represent an unknown number
What is a variable
A child bought 4 bags of rubber bands to make into bracelets. If there are 80 rubber bands per bag, how many total rubber bands did she buy?
320 rubber bands
4x-7 when x=5
13
22-2(6)
10
6x+21
3(2x+7)
Change Order
What is the Commutative Property
A car traveling on I-90 travels 84 miles in two hours. What is the cars speed in miles per hour?
42 miles per hour
8-2x when x=-3
14
(8-5)(5-3)2
12
-2x+10
-2(x-5) or 2(-x+5)
Regroup
What is the Associative Property
A person driving along the road moves at a rate of 56 miles per hour driven. How far does this person drive in 1.5 hours?
84 miles
x2-2x-3 when x=4
5
(3x+7)+(2x+8)
5x+15
14x+14
14(x+1)
A relationship between two quantities
What is a ratio
Mr. Weaver has 32 students in his class. He wishes to place them into 8 groups of equal size. What is the number of students per group?
4 students
(4x-8)/(x-1) when x=0
8
-4x+5-12-7x+4+2x
-9x-3
14x+21
7(2x+3)
A ratio between two related quantities
What is a rate
A person driving along the road moves at a rate of 62 miles per hour driven. How far does the person drive in 2.5 hours?
155 miles
(3x-5)/(2(x+1)) when x=4
7/10
3(x+2)-2(x+1)
x+4
(2x+4)+(3x-14)
2(x+2)+(3x+14)