Question

In 6-8, use properties of operations to complete the equivalent expressions. 6. 2(r+ 3) = 2 r+ 3 7. 6(4s – 1) = 8. 8t +2 = 2 9. Complete the table below.

Answer 1

6)

The expression 2(r+3) can be written using distributive property as,

`\begin{gathered} 2(r+3)=2r+2*3 \\ =2r+6 \end{gathered}`

(Distributive property, A(B+C)=AB+AC).

Therefore, 2(r+3)=2r+6.

7)

The expression 6(4s-1) can be written using distributive property as,

`\begin{gathered} 6(4s-1)=6*4s-6*1 \\ =24s-6 \end{gathered}`

Therefore, 6(4s-1)=24s-6.

8)

8t+2 can be written as,

`\begin{gathered} 8t+2=2*4t+2*1 \\ =2(4t+1) \end{gathered}`

Therefore, 8t+2=2(4t+1).