Scale Factor
Ratios
Math Facts
Proportional Relationships
Unit Rates
100
Define scale factor
The number by which a scaled or proportional copy of a figure is multiplied by
100
What is a ratio?
Two quantitative values which describe the proportional relationship between them
100
Multiply:
16 x 9
(Must show all work)
144
100
What is a proportional relationship?
A relationship between two variables which have consistent, equivalent ratios
100
What is a unit rate?
The rate per one unit; a ratio in which the denominator equals 1
200
If the rectangle is multiplied by a scale factor of 3, what is the new length and width?
(Length = __________)
(Width = ___________)
Length = 36ft
Width = 24ft
200
Charlie's ratio of Xbox to Playstation games is 4:3. If he has 21 Playstation games, how many Xbox games does he have?
28 Xbox games
200
Divide:
492 / 12
(Must show all work)
41
200
When looking at a graph, what two factors indicate a proportional relationship?
- Line must pass through origin; start at zero
- Points must change at a constant rate
200
Kevin buys 8 pairs of shoes for a total of 480 dollars. If each pair was the same price, what is the cost per shoe?
(Must show all work)
30 dollars per shoe
(60 per pair)
300
If the rectangle is multiplied by a scale factor of 1/4, what is the new length and width
(Length = ____________)
(Width = ____________)
Length = 3ft
Width = 2ft
300
Nicholas has traveled 540 miles in 9 hours. Create a ratio table to show how far Nicholas can travel in 3, 6, and 9 hours
3 hours = 180 miles
6 hours = 360 miles
9 hours = 540 miles
300
Multiply:
218 x 12
(Must show all work)
2,616
300
Linda can make snow cones, using a ratio of 2 drops of syrup to 9 drops of concentrate.
If we write an equation to find the number of drops of concentrate Linda uses for every drop of syrup, what is our k value?
k = 9/2
300
Sharon spent 810 dollars on food over the course of 18 days. What was her unit rate in terms of cost per day?
(Must show all work)
45 dollars per day
400
What is the scale factor used to make figure ACT from figure GDO?
4
400
Peggy is picking apples. She has picked:
17 red apples, 19 green apples, 14 yellow apples
If she picked these amounts 4 times, what is the final ratio of yellow to green to red apples?
56 to 76 to 68
400
Divide:
408 / 12
(Must show all work)
34
400
Stacy makes trail mix using a ratio of 6 ounces of almonds for every 4 ounces of chocolate.
Write an equation (in the form of y=kx) that shows the relationship between the ounces of almonds, a, and the ounces of chocolate, c?
a = (6/4)c
400
Danielle walked 6 kilometers in 2/3 of an hour. At what rate did she walk, in kilometers per hour?
9 kilometers per hour
9kph
500
Walter is remodeling his living room to be 1 1/3 times as large. His current living room is 21 feet by 33 feet. What are the dimensions of his new living room?
28 feet by 44 feet
500
Courtney is baking desserts. Every 3 hours, she can make 6 pies, 3 cakes, and 36 cookies. If she ends the day with 216 cookies, how many hours did she spend baking?
18 hours
DAILY DOUBLE
How many cakes, cookies, and pies could Courtney make given 24 hours?
500
Divide:
918 / 24
(Must show all work; answer must have two decimal places)
38.25
500
Martha and Josh are making lemonade. Marth uses 1/5 a cup of sugar for every 2 cups of water. Josh uses 2/7 cups of sugar for every 3 cups of water.
If each are using 1 cup of sugar, how many cups of water will they each use?
Martha: 10 cups of water
Josh: 10.5 cups of water
500
Two grocery stores are selling bananas at different rates:
Store A: 4/5 pounds for $8
Store B: 1 1/2 pounds for $12
What are each store's cost in price per pound
(Must show all work)
Store A = $10 per pound
Store B = $8 per pound