Direct or Indirect
Direct Proportion Graph
Math Mix Up
Equations
Proportions
100
Say whether the table represents an inverse or direct proportionality.
Inverse Proportionality
100
Name two features of a Direct Proportionality graph
Passes through the origin (0,0), A straight line
100
solve for x:
2x - 3 = 15
x = 9
100
Direct Proportion, Indirect Proportion, or Neither:
5y = 3x + 2
neither
100
6/4 = x/2
Solve the proportion.
x = 3
200
Type of proportion represented in this table.
Neither
200
Describe how you can find the constant of proportionality from a direct proportion graph.
Choose a point on the graph and divide the output value by the input value (typically y/x)
200
What is 8^(2/3)?
4
200
Is the relationship between f and g a positive correlation, direct proportionality, both, or inverse proportionality?
f = g^4
positive correlation
200
3/5 = 12/x
Solve the proportion.
x = 20
300
Direct, v=5u
300
What is the shape of the graph of two inversely related variables?
hyperbolic
300
What is the product of the first 3 prime numbers?
30
300
You are given the direct equation, n = 2c where n is the number of legs you have and c is the number of chickens.
There are 46 legs. How many chickens do you have?
23 chickens
300
Solve the proportion.
7/x = 5/3
x = 21/5
400
Give the type of proportion and constant of proportionality for: x + 2y - 3x = y
direct, y = 2x
400
What is the proportionality constant for the graph on the left?
k=20
400
What is 2^3^2?
512
400
y/x = 0.4
give the type of Proportion, and k value
Direct proportion, k=0.4
400
Mikey earned $50 in 4 hours, how much would he earn in 10 hours? Set up and solve as a proportion.
M = kt
$50 = k(4h) k = $12.5/h
M = ($12.5/h)(10h) = $125
500
Give the type of proportion, constant of proportionality and equation represented in this table.
direct,
k = 3/4
y = (3/4)x
500
The vapor pressure, p, above a liquid is directly proportional to e^(-H/RT). Which graph would depict a direct proportionality?
a) T vs. p
b) 1/T vs. p
c) 1/p vs. e^(-H/RT)
d) p vs. e^(-H/RT)
d) p vs. e^(-H/RT)
500
Let H be a bijective, structure preserving mapping between two sets with different domain/codomain. H is most exactly described as a/an...
a) automorphism
b) homomorphism
c) isomorphism
d) endomorphism
c) isomorphism
500
Daily Double
A is directly proportional to B, and B is inversely proportional to C. C is inversely proportional to D^2, but directly proportional to E. What is the relationship between A and E?
A is inversely proportional to E
500
A is directly proportional to B and inversely proportional to the cube of C. When B is 9 and C is 3, A is 5. What is B when A is 4 and C is 1/2?
1/30