Algebra 1 - Master Key Algebra Techniques

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Algebra 1 - Master Key Algebra Techniques



Published 11/2024
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 6.06 GB | Duration: 11h 0m

A Complete Course in Key Algebra Techniques


What you'll learn
Algebraic Expressions
Algebraic Operations
Equations, Inequations & Simultaneous Equations
Functions & Graphs
Mathematical Sequences
Exponents & Radicals
Requirements
Students can take this course with no previous algebra experience but good numeracy would be helpful.
Description
Algebra is a key Math skill that is used in all Math courses and many other disciplines. Algebra is like grammar, punctuation and spelling in English - key skills without which you wouldn't be able to write a great essay. The trick with learning algebra is to start small and build your skills slowly. In this course we begin with some basic algebra moves like simplifying algebraic expressions and grow skills one at a time. Before long you'll be solving equations, creating graphs and working with Mathematical functions. This Course is For YouI created this course to help you master Precalculus through clear instructional videos and relevant practice questions. There are many reasons why you might want to take this course:To learn Precalculus from scratch For additional support if you're taking Precalculus in school or collegeTo help you prep for a Precalculus assessment To review key techniques To access more than 300 relevant practice questions with full solutions As prep for taking further Math courses such as Calculus 1 or Calculus 2To access 11 hours of instructional videoWhatever your reason this course will help you build key skills and confidence quickly. What You'll Take Away From This CoursePrecalculus is a challenging but rewarding course with a lot of content. By mastering some core techniques you'll be able to answer a wide variety of questions both in class and in the real-world. Each instructional video teaches one primary skill and mixes a small amount of theory with example problems. You will then practice what you've learnt in the end of section review exercise. I've also included step-by-step solutions so you can check your work as you go. Take this course and you will learn:The foundations of Mathematical functionsCore function techniques such as composite / inverse functions, function graphs, and domain / rangeEquation solving skills - a fundamental Math skill at all levels Polynomials - one of the most common types of functionSpecific functions such as exponentials / logarithms / trigonometric Mathematical series - a key concept / techniques for more advanced Math courses
Overview
Section 1: Working with Numbers
Lecture 1 Number Types
Lecture 2 Sets
Lecture 3 Venn Diagrams
Lecture 4 Working with Infinity
Lecture 5 Dividing by Zero
Lecture 6 Square-Rooting a Negative Number
Lecture 7 Test Your Knowledge
Section 2: Exponents and Radicals
Lecture 8 Working with Exponents
Lecture 9 Exponent Rules
Lecture 10 Negative Powers and Power of Zero
Lecture 11 Fractional Powers
Lecture 12 Radicals (Surds)
Lecture 13 Adding and Subtracting Radicals
Lecture 14 Multiplying and Dividing Radicals
Lecture 15 Rationalising Fractions
Lecture 16 Test Your Knowledge
Section 3: Algebraic Expressions
Lecture 17 Algebraic Formulae
Lecture 18 Using Algebraic Formulae
Lecture 19 Changing the Subject of a Formula
Lecture 20 Algebraic Expressions
Lecture 21 Simplifying Algebraic Expressions
Lecture 22 Working with Parentheses
Lecture 23 Factorising Using a Common Factor
Lecture 24 Test Your Knowledge
Section 4: Quadratic Expressions
Lecture 25 Starting Quadratic Expressions
Lecture 26 Factorising a Quadratic Expression Using a Common Factor
Lecture 27 Factorising a Quadratic Expression as a Difference of Two Squares
Lecture 28 Factorising a Quadratic Expression as a Trinomial
Lecture 29 Completed Square Form
Lecture 30 Test Your Knowledge
Section 5: Algebraic Fractions
Lecture 31 Simplifying Algebraic Fractions
Lecture 32 Multiplying & Dividing Algebraic Fractions
Lecture 33 Adding & Subtracting Algebraic Fractions
Lecture 34 Test Your Knowledge
Section 6: Equations and Inequations
Lecture 35 Solving Linear Equations
Lecture 36 Solving Equations with Parentheses
Lecture 37 Solving Inequations
Lecture 38 Solving Inequations - Multiplying or Dividing by a Negative
Lecture 39 Starting Systems of Equations
Lecture 40 Solving by Elimination of a Variable
Lecture 41 Solving More Complex Systems of Equations
Lecture 42 Test Your Knowledge
Section 7: Sequences
Lecture 43 Starting Sequences
Lecture 44 Sequences Rules
Lecture 45 Convergent and Divergent Sequences
Lecture 46 The Limit of a Sequence
Lecture 47 Arithmetic Sequences (Progressions)
Lecture 48 Geometric Sequences (Progressions)
Lecture 49 Test Your Knowledge
Section 8: Graphs
Lecture 50 Cartesian Co-ordinate System
Lecture 51 Straight Lines in the X-Y Plane
Lecture 52 The Gradient (Slope) of a Straight-Line Graph
Lecture 53 The Equation of a Straight-Line Graph
Lecture 54 Finding the X and Y intercepts of a Straight-Line Graph
Lecture 55 Horizontal and Vertical Lines
Lecture 56 Sketching Straight-Line Graphs
Lecture 57 Writing the Equation of a Straight-Line from its Graph
Lecture 58 Test Your Knowledge
Section 9: Functions
Lecture 59 Starting Mathematical Functions
Lecture 60 Types of Function
Lecture 61 Graphs of Functions
Lecture 62 Maximum and Minimum Values
Lecture 63 Domain and Range of a Function
Lecture 64 Average Rate of Change of a Function
Lecture 65 Test Your Knowledge
Section 10: Quadratic Functions
Lecture 66 Starting Quadratic Functions
Lecture 67 The Graph of Quadratic Functions
Lecture 68 Solving Quadratic Equations by Factorising Trinomials
Lecture 69 Solving Quadratic Equations Using Completed Square Form
Lecture 70 Solving Quadratic Equations using the Quadratic Formula
Lecture 71 The Discriminant for Quadratic Equations
Lecture 72 Graphical Interpretation of Quadratic Equations
Lecture 73 The Roots of Graphs of Quadratic Functions
Lecture 74 The Turning Point of Graphs of Quadratic Functions
Lecture 75 The Y-Intercept of Graphs of Quadratic Functions
Lecture 76 The Axis of Symmetry of the Graph of a Quadratic Function
Lecture 77 Test Your Knowledge
Section 11: Additional Resources
Lecture 78 Algebra 1 Practice Exam
Lecture 79 Algebra 1 Formula List
Students who need to learn key algebra techniques,Students looking for a complete core in key algebra techniques,Students reviewing key algebra techniques for a test or assignment,Students looking for relevant practice questions with full step-by-step solutions,Students who want to become confident in using algebra,Students who want a solid foundation for Pre-Calculus and Calculus
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