Algebra 2 WorksheetsGrades 9–10–11–12

Complex Numbers (Add, Multiply & Powers of i) Worksheets

Add, subtract, and multiply complex numbers in a + bi form and simplify powers of the imaginary unit i.

Complex Numbers (Add, Multiply & Powers of i)

Seed #104729

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Simplify each complex number expression in a + bi form.

Simplify in a + bi form: (1 − 2i) − (−4 − 4i) = ______

Simplify in a + bi form: (4 + 8i) − (−3 − 5i) = ______

Simplify the power of i: i³¹ = ______

Simplify the power of i: i⁵⁵ = ______

Simplify in a + bi form: (2 + 5i) − (−1 + 3i) = ______

Simplify the power of i: i⁹ = ______

Simplify in a + bi form: (4 − 5i)(−5 + 3i) = ______

Simplify in a + bi form: (−3 + 3i) − (2 − 2i) = ______

Simplify in a + bi form: (2 − 3i) − (−6 − 8i) = ______

10)

Simplify in a + bi form: (7 + 6i) + (5 − i) = ______

11)

Simplify in a + bi form: (−2 + 4i) + (−7 − 3i) = ______

12)

Simplify in a + bi form: (−8 + 5i) + (6 + i) = ______

Solve quadratic equations using the quadratic formula or completing the square for exact rational and simplified radical roots.

Grades 9–10–11

Solve logarithmic and exponential equations for exact rational and integer solutions.

Grades 10–11–12

Factor polynomials to simplify rational expressions and add rational expressions with linear denominators.

Grades 10–11–12

Divide quadratic and cubic polynomials by linear binomials (x − r) with exact quotients and remainders.

Grades 9–10–11–12

Find composite functions f(g(x)) and algebraic inverse functions f⁻¹(x).

Grades 10–11–12

Find the nth term and partial sums of finite arithmetic and geometric sequences and series.

Grades 9–10–11–12

Add, multiply, find determinants, and compute inverses of 2×2 SVG matrices.

Grades 10–11–12