AMC 8 Daily Practice - New Patterns

Complete problem set with solutions and individual problem pages

Problem 1 Easy

Consider the following operation: a\oplus b=a-b^{2}. What is the value of  4 \oplus[5 \oplus(-2)]?

  • A.

    2

  • B.

    3

  • C.

    4

  • D.

    5

  • E.

    -2

Answer:B

According to the problem, a new operation is defined as a \oplus b = a - b^2.

To evaluate 4 \oplus [5 \oplus (-2)], we should firstly calculate the inner operation:    5 \oplus (-2) = 5 - (-2)^2= 5 - (4)= 1

Now substitute this result into the outer operation:    4 \oplus [5 \oplus (-2)] = 4 \oplus 1= 4 - (1)^2= 4 - 1= 3

Final result is \boxed{3}

Related Problems
Problem 2 AMC 8 Daily Practice - New Patterns
Problem 3 AMC 8 Daily Practice - New Patterns
Problem 4 AMC 8 Daily Practice - New Patterns
Problem 5 AMC 8 Daily Practice - New Patterns
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