Definitions
A ratio is a ______________ between two items or quantities.
comparison
Two boxes can hold 12 books. How many books are there per box?
6 books per box
What value of x makes these ratios equivalent?
2/5 = x/25
x = 10
Are the following ratios equivalent?
4/5 = 8/20
No
(4/5)2 = 8/10
If it takes 12 people to pull a 7-ton truck, how many people would it take to pull a 21-ton truck?
36 people
What is an integer?
Any whole number, positive or negative, including zero.
What does the term equivalent mean?
Equal or the same
Four chocolate bars cost $12.00. What is the price per chocolate bar?
The price is $3.00 per chocolate bar.
What value of x makes these ratios equivalent?
5/10 = x/70
x = 35
Are the following ratios equivalent?
4/9 = 12/27
Yes
(4/9)3 = 12/27
The ratio of pink flowers to blue flowers is 3 to 6. If there are 30 blue flowers, how many of them are pink?
15 pink flowers
Is "0" an integer?
Yes, zero is an integer.
A rate is a ratio that compares two quantities with _____________ units.
different
If 18 burgers were eaten in 3 minutes, how many burgers were eaten per minute?
6 burgers were eaten per minute.
Some the following proportion
11/55 = x/110
x = 22
Are the following ratios equivalent?
2/7 = 16/56
Yes
(2/7)8 = 16/56
The ratio of red hair bands to green hair bands is 5 to 9. How many of them are green if 30 are red?
54 green hair bands
Is this an integer? If yes, what is its simplified value?
9/1
Yes, 9
A unit rate is a rate with a denominator of ___.
1/one
Amanda earned 52 dollars for mowing 2 lawns. How much did she earn per lawn?
She earned 26 dollars per lawn.
Some the following proportion
25/100 = x/300
x = 75
Are the following ratios equivalent?
12/32 = 48/127
No
(12/32)4 = 48/128
Andrew is searching for a cup and discovers that he has 20 plates for every 5 cups. If he has 40 plates, how many cups does he have?
10 cups
Is 5.009 an integer?
No
How do you find equivalent ratios? (What Operations?)
Equivalent ratios can be found by multiplying or dividing both parts of the ratio by the same number.
There are 3 fish tanks with a total of 111 fish. How many fish are there per tank?
There are 37 fish per tank.
3/20 = x/140
Some the following proportion.
x = 21
Are the following ratios equivalent?
9/36 = 45/180
Yes
(9/36)5 = 45/180
John can read 10 books in 30 minutes, how long does it take him to read 30 books?
90 minutes
Is this an integer? If yes, what is the simplified value?
64/8
Yes, 8