WorksheetsTopic 2 Proportional Relationships Practice test
Total questions: 22
Worksheet time: 36mins
The equation y = 3.5x represents a proportional relationship. What is the constant of proportionality?
y
x
1/3.5
3.5
Trey walked 2/5 of a mile in 1/4 of an hour. How fast did he walk in miles per hour?
1/10 miles per hour
5/8 miles per hour
2/5 miles per hour
8/5 or 1 3/5 miles per hour
The equation y = 0.45x represents a proportional relationship. What is the constant of proportionality?
y
x
0.45
it can't be determined
How do you know whether two quantities x and y are proportional?
Every sum x + y is the same for related pairs of x and y.
Every x term is multiple of the previous term
Every difference x - y is the same for related pairs of x and y
Every ratio of y/x for related pairs of x and y is equivalent
You really have no way of knowing. It's a messed up world.
Is there a proportional relationship between x and y?
Yes the difference between each x and y value is the same.
No, all ratios of x/y are greater than 1.
No all the ratios of y/x are not equivalent.
Yes, as each x increases by 1 each y value increases by $1.75
What values for x and y would make this a proportional relationship?
x = 6, y = 5
x = 4, y = 5
x = 5, y = 6
There are no values to make this table proportional.
A unit rate must always:
be a complex fraction
not be a fraction
have a 1 in the denominator
be a whole number
Click on the values that are expressed as a unit rate.
152
43
15
211
76
How do you find a unit cost?
Divide the number of item by the cost
Divide the cost by the number of items.
What is a unit cost?
Allie wanted to get cupcakes for her birthday party. She can get a 6-pack cupcakes for $13.20 or 14-pack of cupcakes for $32.90. Which cupcake deal is the best? How much per cupcake is the best deal?
6 pack, about $.45 per cupcake
6 pack, $2.25 per cupcake
14 pack; about $.43 per cupcake
14 pack; $2.35 per cupcake
6 pack, $2.20 per cupcake
Jo is knitting a scarf for his mom for Christmas. It took him 1/2 an hour to knit 1/3 of a foot. How fast is Jo knitting in feet per hour?
3/4 feet per hour
3/5 feet per hour
2/3 feet per hour
It can't be determined with this information
I know Jo and he can't knit!
The equation y = 1/4x relates proportional quantities x and y. What is the value of x when y is 2?
6
8
4
This cannot be determined.
Use the graph to find the constant of proportionality.
5/6
12/10
18/15
6/5
Which graphs are not proportional?
Graph 1 and 2
Graph 3 and 4
Graph 1 and 4
Graph 2 and 3
The relationship is not proportional because the graph does not pass through the origin.
The relationship is proportional because as time increases the diameter of the tree also increases.
The relationship is not proportional because the graph is not a straight line.
The relationship is proportional because the graph is a straight line.
Is the number of cookies proportional to the number of guests?
This table DOES show a proportional relationship between the number of guests and the number of cookies.
This table DOES NOT show a proportional relationship between the number of guests and the number of cookies.
It impossible to determine if this is proportional because we don't know how many guests will arrive.
It doesn't really matter because Cookie Monster will show up and eat all the cookies anyway!
Your friend wants to know if the amount of money in her account is proportional to the number of months she's been saving money.
The table DOES show a proportional relationship between months and amount in saving account.
The table DOES NOT show a proportional relationship between months and amount in saving account.
Your friend needs to get a calculator and learn how to use it.
This equation shows a proportional relationship between x and y. What is the constant of proportionality and why is it called the constant of proportionality.
y = 12.6x
C.O.P. =12.6, I have no idea why it's called that.
1.26 It's called that because it sounds complicated and mathematicians are always trying to make these complicated!
C.O.P. = 12.6, Its called the COP because 12.6 is the constant multiple of x that gives you y.
I have never heard of this. I think you are messing with us, Mrs. Schlottman!
Lilly typed a 54 word paragraph is 3/4 of a minutes. What is her speed in word per minute.
54 words a minute
108 words a minutes
72 words a minute
It is impossible to determine.
Yesterday, Braxton drove his go cart 45 miles on 2/3 of a gallon of gas. What is his unit rate for miles per gallon.
45 miles per gallon
135 miles per gallon
67.5 miles per gallon
This cannot be determined.
What is the main idea of this topic of study?
y2 = y × y
y ÷ x is the constant of proportionality and the unit rate. Once you find it just plug it into y = kx and you have this sweet equation. A graph of a proportional relationship is always a straight line that goes through the origin.
There is no point to math. It's just hard and I will never learn any of it. I am going to work at McDonald's and live in my parents basement when I am 40 years old.
The main point is to torture me with math formulas.
What is the most AWESOME subject in school?
MATH
Mathematics
Doing Math, baby!
Anything that involves math! Because I will make a lot of money someday if I learn how to do math like a boss!
