AMC 8 Daily Practice - New Patterns

Complete problem set with solutions and individual problem pages

Problem 4 Easy

Let a and b be rational numbers. Define the operations:  a * b = \sqrt[3]{a} - \sqrt{b},  a \land b = a^{2} - b^{2}.

Compute (-1) \land (8 * 16).

  • A.

    -1

  • B.

    -2

  • C.

    -3

  • D.

    -4

  • E.

    -6

Answer:C

First, compute 8 * 16 using the first operation rule: 8 * 16 = \sqrt[3]{8} - \sqrt{16} = 2 - 4 = -2

Next, compute (-1) \land (-2) using the second operation rule: (-1) \land (-2) = (-1)^{2} - (-2)^{2} = 1 - 4 = -3

Final Answer:   \boxed{-3}

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Problem 2 AMC 8 Daily Practice - New Patterns
Problem 3 AMC 8 Daily Practice - New Patterns
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