Integers
Proportional Relationships
Distributive Property
Combining Like Terms
Unit Rate
100
-2+6=?
4
100
What two things should you see on a graph in order for it to be considered proportional?
What is: Passes the origin (0,0) and a straight line
100
Explain what the distributive property is based on this expression: x(y+z)
You multiply x times y and then x times z.
The result is xy + xz
100
2n + 4 + 5n
What is 7n+4
100
What is a unit rate? Give two examples.
A unit rate is a rate for one of something meaning the denominator of that ratio would x/1.
Miles per gallon
Miles per hour
Dollars per ounce
200
7+ (-12)
-5
200
Maxine works at law office. The equation y = 15x represents her earnings. Determine how much money she makes if she works 40 hours.
$600
200
Distributive Property: 5(x - 12)
What is: 5x-60
200
21b - 11b - 10 - 12b
What is -2b - 10
200
Blake is able to get 27 miles on 1 tank of gas. How many miles can Blake travel on 6 tanks of gas?
162 miles
300
-13-20=?
-33
300
If so, what is the constant of proportionality?
What is - YES, K= 1.5
300
Distributive Property: -13(3m - 7n)
What is: -39m+91m
300
8a + 15a + a + 9
What is: 24a +9
300
Mr. Denning bakes 42 cakes in 7 hours. How many cakes can Mr. Denning bake in 1 hour?
6 cakes/1 hour
400
- 11 x (-9)
99
400
What is the formula for determining a PROPORTIONAL RELATIONSHIP
What is: y=kx
400
-(-x - 3 - y)
x + 3 + y
400
12c - 6(c - 5)
What is 6c+30
400
Jill drive 420 miles in 12 hours. How many miles can Jill drive in 16 hours?
560 miles
500
-3 x (-2) x (-4)
-24
500
Mr. Denning puts 10 dollars in a savings account. That account earns another 10 dollars every year going forward. Is this relationship proportional? Also, how many years will it be until Mr. Denning has $100 in that account?
No, because this relationship does not start at (0,0) since he put in $10 at year zero.
Mr. Denning will have $100 in 9 years.
500
-5(y + 2) - (4x - 12)
-5y - 4x + 2
500
-11(4r + 7q) + 20q - 19r
What is -63r - 57q
500
Bobby finished 48 math problems in 20 minutes. There are 120 questions on the math test. How long will it take Bobby to finish?
48/20 = 2.4
2.4 x 120 = 288 minutes or 4 hours and 48 minutes.