<u>Part A)</u>
Using the distributive property
![7(a+b)=7a+7b](https://tex.z-dn.net/?f=7%28a%2Bb%29%3D7a%2B7b)
therefore
<u>the answer Part A is</u>
![9-----> A](https://tex.z-dn.net/?f=9-----%3E%20A)
<u>Part R)</u> ![4(5+x)=20+](https://tex.z-dn.net/?f=4%285%2Bx%29%3D20%2B)
Using the distributive property
![4(5+x)=20+4x](https://tex.z-dn.net/?f=4%285%2Bx%29%3D20%2B4x)
therefore
<u>the answer Part R is</u>
![14-----> R](https://tex.z-dn.net/?f=14-----%3E%20R)
<u>Part Y)</u> ![3(2x+9)=6x+](https://tex.z-dn.net/?f=3%282x%2B9%29%3D6x%2B)
Using the distributive property
![3(2x+9)=6x+27](https://tex.z-dn.net/?f=3%282x%2B9%29%3D6x%2B27)
therefore
<u>the answer Part Y is</u>
![4-----> Y](https://tex.z-dn.net/?f=4-----%3E%20Y)
Part S) ![8(3x+1)=+8](https://tex.z-dn.net/?f=8%283x%2B1%29%3D%2B8)
Using the distributive property
![8(3x+1)=24x+8](https://tex.z-dn.net/?f=8%283x%2B1%29%3D24x%2B8)
therefore
<u>the answer Part S is</u>
![23-----> S](https://tex.z-dn.net/?f=23-----%3E%20S)
<u>Part O)</u> ![a(4+b)=+ab](https://tex.z-dn.net/?f=a%284%2Bb%29%3D%2Bab)
Using the distributive property
![a(4+b)=4a+ab](https://tex.z-dn.net/?f=a%284%2Bb%29%3D4a%2Bab)
therefore
<u>the answer Part O is</u>
<u>Part E)</u> ![x(y+10)=+10x](https://tex.z-dn.net/?f=x%28y%2B10%29%3D%2B10x)
Using the distributive property
![x(y+10)=xy+10x](https://tex.z-dn.net/?f=x%28y%2B10%29%3Dxy%2B10x)
therefore
<u>the answer Part E is</u>
![3-----> E](https://tex.z-dn.net/?f=3-----%3E%20E)
<u>Part I)</u> ![2(7x+4y)=14x+](https://tex.z-dn.net/?f=2%287x%2B4y%29%3D14x%2B)
Using the distributive property
![2(7x+4y)=14x+8y](https://tex.z-dn.net/?f=2%287x%2B4y%29%3D14x%2B8y)
therefore
<u>the answer Part I is</u>
![20-----> I](https://tex.z-dn.net/?f=20-----%3E%20I)
<u>Part D)</u> ![6(9+5x)=54+](https://tex.z-dn.net/?f=6%289%2B5x%29%3D54%2B)
Using the distributive property
![6(9+5x)=54+30x](https://tex.z-dn.net/?f=6%289%2B5x%29%3D54%2B30x)
therefore
<u>the answer Part D is</u>
<u>Part W)</u> ![x(a+3b)=+3bx](https://tex.z-dn.net/?f=x%28a%2B3b%29%3D%2B3bx)
Using the distributive property
![x(a+3b)=ax+3bx](https://tex.z-dn.net/?f=x%28a%2B3b%29%3Dax%2B3bx)
therefore
<u>the answer Part W is</u>
![18-----> W](https://tex.z-dn.net/?f=18-----%3E%20W)
<u>Part E)</u> ![a(8x+2y)=8ax+](https://tex.z-dn.net/?f=a%288x%2B2y%29%3D8ax%2B)
Using the distributive property
![a(8x+2y)=8ax+2ay](https://tex.z-dn.net/?f=a%288x%2B2y%29%3D8ax%2B2ay)
therefore
<u>the answer Part E is</u>
![7-----> E](https://tex.z-dn.net/?f=7-----%3E%20E)
<u>Part T)</u> ![0.5(4a+10)=2a+](https://tex.z-dn.net/?f=0.5%284a%2B10%29%3D2a%2B)
Using the distributive property
<u>Part T)</u> ![0.5(4a+10)=2a+5](https://tex.z-dn.net/?f=0.5%284a%2B10%29%3D2a%2B5)
therefore
<u>the answer Part T is</u>
![1-----> T](https://tex.z-dn.net/?f=1-----%3E%20T)
<u>Part R)</u> ![(2/3)(12+9y)=8+](https://tex.z-dn.net/?f=%282%2F3%29%2812%2B9y%29%3D8%2B)
Using the distributive property
![(2/3)(12+9y)=8+6y](https://tex.z-dn.net/?f=%282%2F3%29%2812%2B9y%29%3D8%2B6y)
therefore
<u>the answer Part R is</u>
<u>Part O)</u> ![5x+5y=5(x+\ )](https://tex.z-dn.net/?f=5x%2B5y%3D5%28x%2B%5C%20%29)
![5x+5y=5(x+y)](https://tex.z-dn.net/?f=5x%2B5y%3D5%28x%2By%29)
therefore
<u>the answer Part O is</u>
![13-----> O](https://tex.z-dn.net/?f=13-----%3E%20O)
<u>Part T)</u> ![9a+9b=9(\ +b)](https://tex.z-dn.net/?f=9a%2B9b%3D9%28%5C%20%2Bb%29)
![9a+9b=9(a+b)](https://tex.z-dn.net/?f=9a%2B9b%3D9%28a%2Bb%29)
therefore
<u>the answer Part T is</u>
![22-----> T](https://tex.z-dn.net/?f=22-----%3E%20T)
Part W) ![4m+4n=\ (m+n)](https://tex.z-dn.net/?f=4m%2B4n%3D%5C%20%28m%2Bn%29)
![4m+4n=4(m+n)](https://tex.z-dn.net/?f=4m%2B4n%3D4%28m%2Bn%29)
therefore
<u>the answer Part W is</u>
![16-----> W](https://tex.z-dn.net/?f=16-----%3E%20W)
<u>Part H)</u> ![ab+3a=a(b+\ )](https://tex.z-dn.net/?f=ab%2B3a%3Da%28b%2B%5C%20%29)
![ab+3a=a(b+3)](https://tex.z-dn.net/?f=ab%2B3a%3Da%28b%2B3%29)
therefore
<u>the answer Part H is</u>
<u>Part E)</u> ![xy+15x=\ (y+15)](https://tex.z-dn.net/?f=xy%2B15x%3D%5C%20%28y%2B15%29)
![xy+15x=x(y+15)](https://tex.z-dn.net/?f=xy%2B15x%3Dx%28y%2B15%29)
therefore
<u>the answer Part E is</u>
![11-----> E](https://tex.z-dn.net/?f=11-----%3E%20E)
Part A) ![bu+uv=\ (b+v)](https://tex.z-dn.net/?f=bu%2Buv%3D%5C%20%28b%2Bv%29)
![bu+uv=u(b+v)](https://tex.z-dn.net/?f=bu%2Buv%3Du%28b%2Bv%29)
therefore
<u>the answer Part A is</u>
![5-----> A](https://tex.z-dn.net/?f=5-----%3E%20A)
<u>Part F)</u> ![(2/5)m+(2/5)n=(2/5)( \ +n)](https://tex.z-dn.net/?f=%282%2F5%29m%2B%282%2F5%29n%3D%282%2F5%29%28%20%5C%20%2Bn%29)
![(2/5)m+(2/5)n=(2/5)(m+n)](https://tex.z-dn.net/?f=%282%2F5%29m%2B%282%2F5%29n%3D%282%2F5%29%28m%2Bn%29)
therefore
<u>the answer Part F is</u>
![12-----> F](https://tex.z-dn.net/?f=12-----%3E%20F)
<u>Part M)</u> ![(3/4)a+(3/4)b+(3/4)c=\ (a+b+c)](https://tex.z-dn.net/?f=%283%2F4%29a%2B%283%2F4%29b%2B%283%2F4%29c%3D%5C%20%28a%2Bb%2Bc%29)
![(3/4)a+(3/4)b+(3/4)c=(3/4)(a+b+c)](https://tex.z-dn.net/?f=%283%2F4%29a%2B%283%2F4%29b%2B%283%2F4%29c%3D%283%2F4%29%28a%2Bb%2Bc%29)
therefore
<u>the answer Part M is</u>
<u>Part S)</u> ![7ax+2ay=a(7x+\ )](https://tex.z-dn.net/?f=7ax%2B2ay%3Da%287x%2B%5C%20%29)
![7ax+2ay=a(7x+2y)](https://tex.z-dn.net/?f=7ax%2B2ay%3Da%287x%2B2y%29)
therefore
<u>the answer Part S is</u>
![21-----> S](https://tex.z-dn.net/?f=21-----%3E%20S)
Part T) ![4kx+11ky=\ (4x+11y)](https://tex.z-dn.net/?f=4kx%2B11ky%3D%5C%20%284x%2B11y%29)
![4kx+11ky=k(4x+11y)](https://tex.z-dn.net/?f=4kx%2B11ky%3Dk%284x%2B11y%29)
therefore
<u>the answer Part T is</u>
![15-----> T](https://tex.z-dn.net/?f=15-----%3E%20T)
<u>Part R)</u>
![3ay+8by=y(3a+8b)](https://tex.z-dn.net/?f=3ay%2B8by%3Dy%283a%2B8b%29)
therefore
<u>the answer Part R is</u>
![19-----> R](https://tex.z-dn.net/?f=19-----%3E%20R)
<u>the answer is</u>
they are made for two wrists