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 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 1

The third ticket.
2(x − 6) = −35 ⇒ 2x − 12 = −35 ⇒ 2x = −35 + 12 = −23, so 2x = −23 is correct.