Ratios
Proportions
Miscellaneous
Rates
Proportional Relationships
100
In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes? Simplify your answer.
2/5
100
What is the missing number in the proportion? 5/8 = n/48
n=30
100
Two rectangles are similar. The length of the larger rectangle is 18 cm. and the width is 6 cm. The length of the smaller rectangle is 12 cm. Find the width of the smaller rectangle.
4cm
100
Solve for x:
5/8= x/64
x=40
100
Another name for constant of proportionality is..
Unit Rate
200
Ari can walk 2 miles in 40 min. How long will it take him to walk 5 miles?
100 min.
200
Five shovels of sand are mixed with 4 shovels of gravel to make cement. How many shovels of gravel are needed for 45 shovels of sand?
36
200
If you can buy 24 eggs for $8.64, what is the unit price?
$0.36
200
For every 3 chocolate chip cookies that Angel bakes, he bakes 2 oatmeal raisin cookies. Is he bakes 80 oatmeal raisin cookies, how many chocolate chip cookies did he bake?
120 chocolate chip cookies
200
On a graph, the line has to go through what to be proportional?
the origin or point 0,0
300
Paul used 6 black tiles and 12 white tiles for a pattern. What is the ratio of black tiles to white tiles? Simplify your answer.
1:2
300
Thirty buses can carry 1500 people. How many people can be carried by 5 buses?
250
300
The expression 2n - 3 gives the number of tiles in row "n" of a pattern. How many tiles are in row 7?
11 tiles
300
21 yards of yarn costs $42. What is the price per yard?
$2 per yard
300
Which machine is a proportional relationship and what is its constant of proportionality?
machine Q and a constant of proportionality of 6
400
The equation "t = 6.2h" gives the time in hours, "t", that a candle will burn if the candle has a height in inches of "h." How long will it take for a 4 inch candle to burn?
24.8 hrs.
400
Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates 8 trucks can carry?
320
400
Three times what number is no larger than two times that same number?
0
400
The ratio of cats to dogs that are in the shelter is 5 to 3. If there are 48 total animals, how many more are cats?
12 more cats than dogs
400
What are the three things to remember with proportional relationships?
1. The ratio of y to x is constant through all ordered pairs
2. The graph will pass through the origin (0,0)
3. The equation is linear (a straight line) and can be written in the form of y=mx
500
The equation "d = 55t" gives the distance in miles, "d", that a car can travel in "t" hours. How long will it take to go 247.5 miles?
4.5 hrs.
500
What is the missing number in the proportion: 6/8 = n/20
15
500
It is the missing word in the definition: Similar figures have corresponding angles that are congruent and corresponding sides that are ___________.
Proportional
500
You took a trip to the mountains and traveled 486 miles. It took you 18 gallons of gas to get there. How many miles per gallon would it go?
27 miles per gallon
500
Is this a proportional relationship? If yes, what is the constant of proportionality? If no, why not?
no because the ratio of y to x is not constant