AMC 8 Daily Practice - New Patterns

Complete problem set with solutions and individual problem pages

Problem 2 Easy

Define the operation A \otimes B = \frac{KA - B}{2}. Given that 5 \otimes 3 = 11, find the value of K.

  • A.

    3

  • B.

    4

  • C.

    5

  • D.

    8

  • E.

    11

Answer:C

Substitute A = 5 and B = 3 into the definition of \otimes:   5 \otimes 3 = \frac{K \cdot 5 - 3}{2} = 11

Multiply both sides by 2 to eliminate the denominator:   K \cdot 5 - 3 = 22

Add 3 to both sides:   K \cdot 5 = 25

Divide both sides by 5:   K = 5

Final Answer:  \boxed{5}

Related Problems
Problem 1 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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