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WorksheetsDirect Partial Inverse
Total questions: 33
Worksheet time: 3hrs 45mins
What is the algebraic rule?
y=15x
y=5x
y=75
y=5x+10
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin
Is this table proportional? (hint: cross product!)
yes
no
ish
maybe
The table is not proportional because the cross product of ordered pairs is not constant
The table is proportional and the unit rate is 1/13
The table is proportional and the unit rate is 13.
The table is not proportional because it passes through the origin.
The graph represents how many chips Rebecca eats in an hour. The equation represents the rate Leila eats chips at.
Who will eat more chips in 3 hours?
Rebecca will eat more chips
Leila will eat more chips
They will eat the same amount of chips
The graph below represents how many pencils Tucker used. The equation represents the rate at which Dean uses pencils.
Who used more pencils over 5 days?
Tucker
Dean
They use the same amount of pencils
A linear relation that has an initial value of 0 is what type of variation?
Direct variation
Partial variation
Inverse proportion
Nonlinear variation
A linear relation that has an initial value that is not 0 is what type of variation?
Direct variation
Partial variation
Inverse proportion
Nonlinear variation
A relationship that is represented by a curve that does not touch the x or y axis is called
Direct variation
Partial variation
Inverse proportion
Is this equation an example of direct variation?
yes
no
Write an equation for this situation if C represents the total cost and d represents the number of days of renting the car.
C=9.75d
C=19d
C=19.25d
C=9.5d
Does this graph represent direct variation?
yes, it does not pass through the origin
no, it does not pass through the origin
no, it is decreasing
Does the data in this table describe a partial variation relationship?
Yes
No
Does the equation describe a partial variation relationship?
Yes
No
Which graph represents an inverse proportion relationship?
Given that y is inversely proportional to x, what is the general equation?
In Quebec we use y=ax+b where "a" is the pattern/rate of change. In other regions, what letter is used to represent the rate of change?
m
x
y
r
6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.
10
14
18
22
Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool?
12
13
14
15
Write an equation to show the relationship between the input and the output.
y=4x
y=x+6
y=4/x
y=x+8
How do you determine the "a" in the table of values?
change in xchange in y
change in ychange in x
substitution
Determine which rule best represents the expression the function machine used.
y=6x+10
y=8x
y=7x
y=10x+6
