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0. Review of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
(0)

Multiplying Polynomials
(0)

Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

1. Equations & Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
(0)

Powers of i
(0)

Complex Numbers
(0)

Intro to Quadratic Equations
(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Choosing a Method to Solve Quadratics
(0)

Linear Inequalities
(0)

2. Graphs of Equations(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions(0)

Intro to Functions & Their Graphs
(0)

Common Functions
(0)

Transformations
(0)

Function Operations
(0)

Function Composition
(0)

4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

Dividing Polynomials
(0)

Zeros of Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
(0)

The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

8. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
(0)

Parabolas
(0)

Hyperbolas at the Origin
(0)

Hyperbolas NOT at the Origin
(0)

9. Sequences, Series, & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

10. Combinatorics & Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

1. Equations & Inequalities

The Imaginary Unit

1. Equations & Inequalities

The Imaginary Unit: Videos & Practice Problems

Video Lessons Practice Worksheet

57 problems

Problem types you want to practice:

Problem 1Multiple Choice

Simplify the following expression and write the answer in standard form: (i¹²⁶ - i¹²²)/i⁶³

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Problem 2Multiple Choice

Simplify the following expression and write the answer in standard form: (i¹⁰⁵ - i¹⁰³)/i⁸⁵

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Problem 3Multiple Choice

Simplify the following expression and write the answer in standard form: 7/(1 + 3/i)

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Problem 4Multiple Choice

Simplify the following expression and write the answer in standard form: (3 + i)/(3 + 5i) + (3 - i)/(3 - 5i)

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Problem 5Multiple Choice

Simplify the following expression and write the answer in standard form: 5/(3 + i)(1 - i)

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Problem 6Multiple Choice

Evaluate the following expression for x = 2i:

(x² + 12)/(3 - x)

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Problem 7Multiple Choice

Evaluate the following polynomial for x = 2 + i:

x² - 4x + 5

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Problem 8Multiple Choice

Simplify the following expression and write the answer in standard form: 3√-25 + 7√-64

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Problem 9Multiple Choice

Simplify the following expression and write the answer in standard form: (5 - i)² - (2 + 3i)²

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Problem 10Multiple Choice

Simplify the following expression and write the answer in standard form: (4 + i)² - (1 - i)²

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Problem 11Multiple Choice

Simplify the following expression and write the answer in standard form: (6 + 5i)(3 - i) - (3 - i)(3 + i)

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Problem 12Multiple Choice

Simplify the following expression and write the answer in standard form: (3 - i)(2 - 4i) - (2 - i)(2 + i)

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Problem 13Multiple Choice

Write the following expression in standard form: (3 + 2i)³

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Problem 14Multiple Choice

Write the following expression in standard form: (2 - i)³

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Problem 15Multiple Choice

Write the following expression in standard form: (2 + i)³

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Problem 16Multiple Choice

Write the following expression as -1, 1, -i, or i:

i¹¹⁵

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Problem 17Multiple Choice

Write the following expression as -1, 1, -i, or i:

i⁹⁸

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Problem 18Multiple Choice

Write the following expression as -1, 1, -i, or i:

i⁸⁸

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Problem 19Multiple Choice

Write the following expression as -1, 1, -i, or i:

i⁶⁷

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Problem 20Multiple Choice

Simplify the following expression and write the answer in standard form. (2√-7)(- 5√-18)

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Problem 21Multiple Choice

Simplify the following expression and write the answer in standard form: √-12(√-5 - √7)

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Problem 22Multiple Choice

Simplify the following expression and write the answer in standard form: (-8 - √-32)/24

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Problem 23Multiple Choice

Simplify the following expression and write the answer in standard form: (-10 + √-50)/5

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Problem 24Multiple Choice

Simplify the following expression and write the answer in standard form: (-2 - √-11)²

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Problem 25Multiple Choice

Simplify the following expression and write the answer in standard form: (-5 + √-25)²

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Problem 26Multiple Choice

Find the sum of the two numbers and express the answer in standard form: 7√-25 + 2√-64

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Problem 27Multiple Choice

Find the difference of the two numbers and express the answer in standard form: √-81 - √-16

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Problem 28Multiple Choice

Simplify the following number and express the answer in standard form:

Math expression showing the square root of an equation involving 3 squared and other operations.

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Problem 29Multiple Choice

Simplify the following number and express the answer in standard form:

Math expression showing the simplification of the equation under a square root.

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Problem 30Multiple Choice

Simplify the following number and express the answer in standard form: √-98

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Rational Equations Practice Problems Powers of i Practice Problems

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