Question

Noah 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?
a
2(x - 6) = -35 is equivalent to 2x = -23

b
8(x - 7) = 35 is equivalent to 8x = 28

c
9(x - 6) = -35 is equivalent to 9x = -29

d
4(x - 5) = 35 is equivalent to 4x = 40.

Answer 1

Answer:

Option a.

Step-by-step explanation:

We need to select correct statements form the given options.

$2(x-6)=-35$

$2x-12=-35$

$2x=-35+12$

$2x=-23$

Therefore, $2(x-6)=-35$ is equivalent to $2x=-23$.

$8(x-7)=35$

$8x-56=35$

$8x=35+56$

$8x=91$

Therefore, $8(x-7)=35$ is not equivalent to $8x=28$.

$9(x-6)=-35$

$9x-54=-35$

$9x=-35+54$

$9x=19$

Therefore, $9(x-6)=-35$ is not equivalent to $9x=-29$.

$4(x-5)=35$

$4x-20=35$

$4x=35+20$

$4x=55$

Therefore, $4(x-5)=35$ is not equivalent to $4x=40$.

Hence, option (a) is correct.

Answer 2

Answer:

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

Step-by-step explanation:

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