1. Adv. Math Chapter 6 Review

2. 6-1 Ratios
Ratio: a comparison of two numbers by division. Each number in a ratio is called a term.
Example: 6 cups party mix to 2 cups pretzels
3 ways to write a Ratio:
in words- 6 to 2
with a symbol- 6:2
as a fraction- 6/2

3. 6-1 Ratios: written in 3 ways
A drama club sells 35 student tickets, 24 adult tickets, and 11 senior citizen tickets. Write each ratio in three ways.
Students to adults
35 to 24, 35:24, 35/24
2. Adults to senior citizen
24 to 11, 24:11, 24/11
3. Senior citizen to total number of tickets
11 to 70, 11:70, 11/70

4. 6-1 Ratios: Writing Equal Ratios
Divide or multiply each term by the same number.
6 to 18
sample: 3 to 9, 12 to 36, 1 to 3, etc.
4/14
sample: 2/7, 8/28, 12/42, etc.
8:10
sample: 4:5, 16:20, 80:100, etc.

5. 6-1 Ratios in Simplest Form
To find simplest form divide by the GCF
6/15
2/5
40:30
4:3
42 to 50
21 to 25

6. 6-1 Ratios: Find the Value
Complete to make ratios equal:
6 to 9, ___ to 3 2
18/3, 54/___ 9
___:96, 4:6 64

7. 6-2 Unit Rates
A rate is a ratio that compares two quantities measured in different units.
Example: the rate 150 heartbeats/2minutes compares heartbeats to minutes
A unit rate is the rate for one unit of a given quantity. Denominator is always 1!
Example: 150 heartbeats/2 minutes - 150÷2= 75
So the unit rate is 75 heartbeats per minute

8. 6-2 Unit Rates Find the unit rate for the following:
210 heartbeats in 3 minutes
70 heartbeats per minutes
$19.50 for 3 T-shirts
$6.50
45 miles in 5 hours
9 mph

9. 6-2 Unit Rates
Write the unit rate as a ratio. Then find an equal ratio:
The cost is $6.75 for 1 t-shirt. Find the cost of 8 t-shirts.
$6.75/1t-shirt = $54/8t-shirts
There are 3 feet in 1 yard. Find the number of feet in 15 yards.
3ft/1yd = 45ft/15yd

10. 6-2 Unit Rates Tell which unit rate is greater:
Krysta earns $44.55 in 9 hours. Megan earns $51 in 12 hours.
Answer: $44.55 in 9 hours
Austin reads 60 pages in 2 hours. Tony reads 99 pages in 3 hours.
Answer: 99 pages in 3 hours

11. Proportions 6-3
A proportion is an equation stating that two ratios are equal.
Example: ½ = 4/8
Example: 27/18 = 9/6

12. Proportions 6-3 Do the ratios in each pair form a proportion?
4/12 = 6/8 NO
42/6 = 504/72
YES
10/20 = 30/40

13. Proportions 6-3 Find the value that completes each proportion.
7/35 = 21/___
105
12/4 = ___/28 84
___/190 = 3/114 5

14. Using Cross Products 6-4
You can find the Cross Products of two ratios by multiplying the denominator of each ratio by the numerator of the other ratio
The .
7/35 = 21/ n
n = 105
12/4 = r /28
r = 84
m /190 = 3/114
m = 5