Question

Noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will win. which is the winning ticket?

4(x-5)=35 is equivalent to 4x=40
8(x-7)=35 is equivalent to 8x=28
2(x-6) = -35 is equivalent to 2x=-23
9(x-6)=-35 is equivalent to 9x=-29

Answer 1

Answer is c

Noa hopes to pick the winning ticket during her math class’s raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?

4 (x minus 5) = 35 is equivalent to 4 x = 40

8 (x minus 7) = 35 is equivalent to 8 x = 28.

2 (x minus 6) = negative 35 is equivalent to 2 x = negative 23

9 (x minus 6) = negative 35 is equivalent to 9 x = negative 29

Answer 2

Answer: The winning ticket is
`2(x-6)=-35` is equivalent to
`2x=-23`.

Explanation:

Let's check all the options

`4(x-5)=35` is not equivalent to
`4x=40`

`\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55`

`8(x-7)=35` is not equivalent to
`8x=28`

`\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91`

`2(x-6)=-35` is equivalent to
`2x=-23`

`\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23`

`9(x-6)=-35` is not equivalent to
`9x=-29`

`\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5`

Thus, the winning ticket is
`2(x-6)=-35` is equivalent to
`2x=-23`.