Formulas Custom Operations Mock Tests

A company defines a custom operation ⊕ as follows: for any two numbers a and b, a ⊕ b = a² + 2b. What is the value of 3 ⊕ 5?

A company defines a custom operation ⊗ as follows: a ⊗ b = 3a − b. What is the value of (4 ⊗ 2) ⊗ (6 ⊗ 3)?

A company defines a custom operation ⊘ as: a ⊘ b = a²b − ab². What is the value of 5 ⊘ 2?

A company defines a custom operation ⊕ as: a ⊕ b = a² + 2b. What is the value of 3 ⊕ 5?

A company defines a custom operation ★ as follows: a ★ b = 3a + 2b. What is the value of 2 ★ (3 ★ 4)?

A company defines a custom operation ⊕ as follows: a ⊕ b = 2a + b. What is the value of 3 ⊕ (4 ⊕ 5)?

A company defines a custom operation ⊗ as: a ⊗ b = 2ab − a − b. What is the value of 4 ⊗ 3?

A company defines a custom operation ⊙ as: a ⊙ b = ab + a + b. What is the value of 2 ⊙ (3 ⊙ 2)?