AMC 8 Daily Practice Round 4

Complete problem set with solutions and individual problem pages

Problem 2 Easy

There is a rule that a\triangle b = 2a + b (for example, 3\triangle 2 = 2\times3 + 2=8). If (x\triangle 3)\triangle 5 =27, the value of x is            .

  • A.

    5

  • B.

    4

  • C.

    3

  • D.

    2

  • E.

    1

Answer:B

(x\triangle 3)\triangle 5 = (2x+3)\triangle 5 = 4x + 6 +5 =4x +11 = 27

Thus, x = 4.