19. Distributive property is <u>multiplying everything outside of the parenthesis by everything in them</u>! 
Let's do it 
2(3x + 4y)
We will multiply 2 by 3x and 2 by 4y 
2 × 3x + 2 × 4y = ?
6x + 8y 
20. Solving algebraically is using multiplication and division, addition and subtraction!
<u>5h = 25 </u>
divide 25 by 5 to find h 
h = 25/5 
h = 5 
<u>2 + c = 12 </u>
subtract 2 from both sides 
2 + c - 2 = 12 - 2 
c = 12 -2 
c = 10 
3y + 10 = 40 
We need to do subtraction and division for this one! 
Let's subtract 10 from both sides 
3y + 10 -10 = 40 - 10 
3y = 30 
Divide 30 by 3 to find y 
y = 30/3 
y = 10
<em><u>CAN't SOLVE #21 BECAUSE OF LACK OF INFO </u></em>
22. To find equivalent ratios, <u><em>let's simplify them!</em></u> 
To simplify ratios, we need to find the highest common factors 
a. 2:6 
The <em>highest common factor between 2 and 6 is 2,</em> so let's divide both sides by 2 
We get ... 1 : 3
b. The <em>highest common factor between 12 and 30 is 6</em>, so let's divide both sides by 6 
We get ... 2 : 5
23. To find how many songs are played during a certain amount of time, all we need to do is<em> multiply 12</em> (t<u>he amount of songs played in 1 hour</u>) <em>by however many hours they say</em>! 
This can be expressed like this
a. # of songs = 12 × h 
Now let's use this expression to answer the next two parts of this question! 
b. to find the "# of songs" played in 24 hours, all we need to do is multiply 12 by 24! 24 will be the "h" in our expression. h is the number of hours 
Here's what it looks like using our expression we made 
# of songs = 12 ( 24) 
Solve using a calculator 
# of songs = 288 
c. To find how many hours it will take to play 60 songs, we will put it in place of the LEFT SIDE of the equation that says "# of songs" 
Let's solve it now! 
It looks like this ... 60 = 12h 
Let's divide to find the number of hours! 
60/12 = h 
60/12 = 5 
It will take 5 hours to play 60 songs! 
Hope I helped! Message me or comment if you have any questions or concerns! :)