Equivalent Ratios
Rates
Diagrams
Exponents
Scientific Notation
100
What is the definition of an equivalent ratio?
Equivalent ratios are ratios that express the same relation or comparison of numbers.
e.g. 6:2 and 3:1
100
What is the definition of a unit rate?
The amount of something at a rate of one.
e.g. the unit rate of 54lbs/$2 is 27lbs/$1
100
Which is the image an example of: a Double Line Diagram, a Table, or a Tape Diagram?
Tape Diagram.
100
What does 90 equal?
1
100
Define scientific notation or give an example of it using numbers.
A way of expressing numbers that are too large or too small to be conveniently written in decimal form.
e.g. 490000000 = 4.9×108
200
What is the symbol used in the middle of two values that forms a ratio called?
A colon.
200
Is 7 pounds of sand per 3 dollars a rate or a unit rate?
A rate?
200
What are the missing values?
TSP: 20
CUPS: 5
200
Solve the equation in exponent form:
53 x 25
53 x 25
53 x 52
= 55
200
What is 45200000 in scientific notation?
4.52 x 107
300
Are the ratios 36:84 and 3:7 equivalent?
Yes, because you can simplify both sides of 36:84 by 12 to get 3:7.
300
If the original sale is 60 lbs per $10, is the unit rate 10 lbs per $1? Explain.
No, in order to find the unit rate one must simplify 10 and 60 by 10 to get 6 lbs per $1.
300
Which diagram models the ratio in the story?
Diagram B, the second diagram.
300
What is 42 in standard form?
16
4 x 4 = 16.
300
List the countries in order of lowest population to the highest population.
Liechtenstein, Saudi Arabia, Vietnam, Mexico, Russia, USA
400
Are 132:55 and 5/12 equivalent?
No, because if you simplify 132:55 by 11 the equivalent fraction would be 12/5.
400
What is the unit rate of 527 hours in 9 miles? Round your answer to the nearest whole number.
527/9 = 58.56 --> ~59 hours per mile.
400
Using Diagram B. If there were 72 campers in all, how many voted for hot dogs?
40.
There are 9 total boxes, so 72/9 = 8.
There are 5 boxes for hot dogs, so 5x8 = 40.
400
What is 35 in standard form.
243
3 x 3 x 3 x 3 x 3 = 243
400
What is the value of the ratio 1.55x103 : 3.1x104 ?
1.55x103 / 3.1x104
(1.55 / 3.1) x (103 / 104)
1/2 x 1/10
= 1/20
500
Is 10: 9 equivalent to 1 2/18 ? Explain.
Yes, because 1 2/18 = 20/18 which can be simplified to 10/9 when you divide both sides by 2.
500
If a car was driven at a rate of 50 mph for 2 hours then changed its speed to 90 mph and was driven for 20 minutes, what was the total distance it driven?
130 miles
50 x 2 = 100, 90/3 = 30 (since 20 minutes is 1/3 of an hour)
100 + 30 = 130
500
What are the missing values in the table?
COLUMN A: 134, 268
COLUMN B: 23
500
What is x in the equation 54x = 52(x+2)
x = 2
54(2) = 52(2+2)
58 = 52(4)
58 = 58
500
Sam bought an aquatic tank that has a volume of 165 liters. Given that 1 liter = 1.0x10-15 cubic kilometers, what is the size of the tank in cubic kilometers using scientific notation?
165(1.0x10-15)
165 x 10-15 km3
= 1.65x10-13 km3