Question

Use the Distributive Property to rewrite each algebraic expression. 7. 6(n + 4) 8. 15(2+1) 9. 8(s+5) 11. 5(6+b) 12. 9(3 + v) 10 .3(b +8) 13. 7(r+7)14. 12(4 + V)15. 11(3+5)

Answer 1

Distributive property states:

`a(b+c)=ab+ac`

so:

`\begin{gathered} 6(n+4)=6n+6\cdot4=6n+24 \\ 15(2+1)=15\cdot2+15\cdot1=30+15=45 \\ 8(s+5)=8s+8\cdot5=8s+40 \\ 5(6+b)=5\cdot6+5b=30+5b \end{gathered}`
`\begin{gathered} 9(3+v)=9\cdot3+9v=27+9v \\ 3(b+8)=3b+3\cdot8=3b+24 \\ 7(r+7)=7r+7\cdot7=7r+49 \\ 12(4+v)=12\cdot4+12v=48+12v \\ 11(3+5)=11\cdot3+11\cdot5=33+55=88 \end{gathered}`