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0. Fundamental Concepts 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)

Pythagorean Theorem & Basics of Triangles
(0)

1. Equations and 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(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions & Graphs(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)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential and Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
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The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Measuring Angles(0)

Angles in Standard Position
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Coterminal Angles
(0)

Complementary and Supplementary Angles
(0)

Radians
(0)

8. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
(0)

Special Right Triangles
(0)

Cofunctions of Complementary Angles
(0)

Solving Right Triangles
(0)

9. Unit Circle(0)

Defining the Unit Circle
(0)

Trigonometric Functions on the Unit Circle
(0)

Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
(0)

Reciprocal Trigonometric Functions on the Unit Circle
(0)

10. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
(0)

Phase Shifts
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Graphs of Secant and Cosecant Functions
(0)

Graphs of Tangent and Cotangent Functions
(0)

11. Inverse Trigonometric Functions and Basic Trig Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
(0)

Linear Trigonometric Equations
(0)

12. Trigonometric Identities (0)

Introduction to Trigonometric Identities
(0)

Sum and Difference Identities
(0)

Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
(0)

13. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
(0)

Area of SAS & ASA Triangles
(0)

14. Vectors(0)

Geometric Vectors
(0)

Vectors in Component Form
(0)

Direction of a Vector
(0)

Unit Vectors and i & j Notation
(0)

Dot Product
(0)

Cross Product
(0)

15. Polar Equations(0)

Polar Coordinate System
(0)

Convert Points Between Polar and Rectangular Coordinates
(0)

Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

16. Parametric Equations(0)

Graphing Parametric Equations
(0)

Eliminate the Parameter
(0)

Writing Parametric Equations
(0)

17. Graphing Complex Numbers(0)

Graphing Complex Numbers
(0)

Polar Form of Complex Numbers
(0)

Products and Quotients of Complex Numbers
(0)

Powers of Complex Numbers (DeMoivre's Theorem)
(0)

18. Systems of Equations and Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

19. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
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Parabolas
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Hyperbolas at the Origin
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Hyperbolas NOT at the Origin
(0)

20. Sequences, Series & Induction(0)

Sequences
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Arithmetic Sequences
(0)

Geometric Sequences
(0)

21. Combinatorics and Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

22. Limits & Continuity(0)

Introduction to Limits
(0)

Finding Limits Algebraically
(0)

Continuity
(0)

23. Intro to Derivatives & Area Under the Curve(0)

Tangent Lines & Derivatives
(0)

Limits at Infinity
(0)

Limits of Sequences
(0)

Area Under a Curve
(0)

21. Combinatorics and Probability

Combinatorics

21. Combinatorics and Probability

Combinatorics: Video e Problemi di Pratica

Videolezioni Pratica Foglio di lavoro

17 problemi

Problema 1Scelta multipla

Five-digit even numbers greater than 90000 can be formed by using the digits 2, 3, 4, 5, 6, and 9. State the number of such numbers.

Problema 2Scelta multipla

If you perform binomial expansion on the expression, (3d + 2e)⁸, what is the fifth term?

Problema 3Scelta multipla

Enumerate the first three terms of the resulting expression if you are to apply binomial expansion to the following. (h - 3w)¹²

Problema 4Scelta multipla

Find the difference quotient, [f(x + h) - f(x)]/h, of the function: f(x) = x⁵ - 2

Problema 5Scelta multipla

Use the Fundamental Counting Principle to solve the following problem.

A shop sells their shirt in three different sizes (small, medium, and large), four types (polo, sleeveless, crew neck, and v-neck), and five colors (gray, blue, black, red, and pink). Determine how many ways a shirt can be bought.

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Problema 6Scelta multipla

Evaluate the following expression: (₆C₄ x ₉C₁)/₁₂C₄

Problema 7Scelta multipla

Perform binomial expansion and simplify the resulting expression for the following binomial.
(x² +6y)⁴

Problema 8Scelta multipla

A restaurant offers 3 types of salads and 5 types of main courses. How many different meal combinations can a customer choose if they want one salad and one main course?

Problema 9Scelta multipla

How many different ways can 4 books be arranged on a shelf?

Problema 10Scelta multipla

In how many different ways can 3 students be chosen and arranged in a line from a class of 10 students?

Problema 11Scelta multipla

How many ways can a team of 4 be selected from a group of 10 people?

Problema 12Scelta multipla

A pizza shop offers 10 different toppings. How many different 3-topping pizzas can be made if the order of toppings does not matter?

Problema 13Scelta multipla

How many different 5-letter codes can be formed using the letters A, B, C, D, and E if each letter can be used more than once?

Problema 14Scelta multipla

A company has 6 different projects and wants to assign 3 of them to a team. How many different ways can the projects be assigned if the order of assignment matters?

Problema 15Scelta multipla

A car manufacturer offers 4 models, each available in 3 colors. How many different car options are available?

Problema 16Scelta multipla

How many different ways can 5 people be seated in a row?

Problema 17Scelta multipla

In how many different ways can 2 students be chosen and arranged in a line from a class of 8 students?

Factorials Problemi di pratica Probability Problemi di pratica

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Combinatorics: Video e Problemi di Pratica

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