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Evaluate numerical expressions of complex numbers that include the four basic operations and operations of powers, opposites, conjugates, and absolute values.
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- Assessment Anchor - A2.1.1:
Operations with Complex Numbers
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Eligible Content - A2.1.1.1.1
Simplify square roots in terms of i. (e.g., √–24 = 2i√6).
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Eligible Content - A2.1.1.1.2
Simplify/evaluate expressions involving imaginary numbers powers of i (e.g., i6 + i3 = –1 + i).
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Eligible Content - A2.1.1.2.1 Add and subtract complex numbers(e.g., (7 – 3i) – (2 + i) = 5 – 4i).
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Eligible Content - A2.1.1.2.2 Multiply and divide complex numbers (e.g., (7 – 3i)(2 + i) = 17 + i).
- Assessment Anchor - A2.1.2:
Non-Linear Expressions
Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (limit to rational exponents).
Simplify or evaluate expressions involving logarithms and exponents (e.g. log28 = 3 or log42 = ½).
Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).