Ultimate guide to Linear Equations

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Learn everything you need to know about Linear Equations, starting with the basics!

816 students enrolled

What Will I Learn?

- Learn the absolute basics before doing the advanced topics
- Solve all types of linear equations
- Sketch linear graphs / straight lines easily
- Determine linear rules based on information given
- Solve simultaneous equations using a variety of methods
- Solve and graph linear inequations

Requirements

- Need a pen and paper to work along with me during lectures

Description

****June 2016 update** The course has been redesigned from scratch with 2 more hours of material. Hope you guys enjoy!**

Welcome to **Ultimate guide to ****Linear Equations**. This is an end to end course on Linear Equations, starting from the very basics all the way to complicated topics such as sketching linear inequations.

**What will the course have and who will benefit?**

By the end of Grade 8, students are able to solve standard linear equations using a variety of methods. Once in Grade 9, students are introduced to new concepts such as working with brackets and sketching linear graphs. My current students in Grade 9 and 10 find linear equations and graphs to be one of the most challenging topics and have a hard time complementing their existing knowledge with the new topics that are introduced at this level.

In the course, I systematically step you through the different topics, so by the end of it you'll be proficient in not only solving equations but also plotting them using a variety of methods.

As you'll see in the topics below, we start at the very bottom, and slowly build our way up to the more complex topics.

I go through every single topic in a step by step form so it's really easy for you to follow along. *Not convinced? *Then I suggest you check out the previews before you decide to enroll, to make sure my teaching style is easy to follow, I am very confident that it is. To go a step further, Udemy's 30-day money back guarantee should also make you feel at ease.

**What topics will the course cover?**

I'll cover be covering all the major topics in Linear Equations:

**Start here:**

- Solving linear equations using trial and error parts 1 and 2
- Using inverse operations
- Building expressions
- Solving equations using backtracking parts 1 and 2
- Checking solutions
- Keeping equations balanced
- Identifying patterns
- Solving linear equations with unknowns on both sides (beginner level)

**Linear Equations:**

- What are linear equations? *NEW*
- Solving standard linear equations
- Solving linear equations with brackets
- Solving linear equations with unknowns on both sides (more advanced than beginner)
- Problem solving with linear equations
- Rearranging formulas

**Linear Graphs:**

- Cartesian plane in 2D *NEW*
- Plotting linear graphs
- General equation of a straight line
- Sketching linear graphs
- Determining linear rules
- Parallel and perpendicular lines *NEW*
- Midpoints and distances between points
- Non-linear relations *NEW*
- Graphing solution of simultaneous linear equations
- Solving simultaneous equations using substitution
- Solving simultaneous using elimination
- Problem solving using simultaneous equations
- Solving linear inequations
- Sketching linear inequations
- Solving simultaneous linear equations

As you can see, with all the topics, we'll be stepping through them systematically and I'll give you guys plenty of opportunities to practice along with me to help you cement your learning.

**Why linear equations?**

I've seen students really struggle with linear equations. I've noticed that a lot of teachers in schools simply don't spend the required time to help their students learn their fundamentals so when they have to do topics like the above, it's just a real pain. That's why I created this course for you guys so you always have a reference point and furthermore always have access to me when you need help :)

**BONUS** I've also added worksheets (with answers) for each chapter to help you further test and implement your learning from the lectures.

**Something missing in the course?**

If you find I haven't covered a topic that you need at this level, let me know on the discussion board and I'll be happy to add it in :)

I can guarantee that you'll be miles ahead of the competition if you take this course seriously and best part about being able to do it all is that you can teach others as well. *When you're willing to spend upwards of $50 an hour for a private tutor, it seems like a no brainer to at least give this a go, so that you have access to your very own private tutor any time you wish.*

I'm good with messages and emails so if you have questions, make sure to get in touch with me. And furthermore, I want you guys to make full use of the discussion board because one of the best ways to learn is by sharing your knowledge with others. Thanks guys, really hope you enjoy.

Who is the target audience?

- This course is for beginners and intermediates alike since it starts at the very basics and moves onto the more advanced topics.

Compare to Other Linear Equation Courses

Curriculum For This Course

35 Lectures

07:50:32
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Get started here
11 Lectures
02:07:10

In this introduction lecture, I take you through the different topics that we cover in this section.

Preview
04:13

By the end of this lecture, you will be able to write equations to describe the information given in a question. You'll also be introduced to the concept of guessing the solution in order to solve an equation. This is a key step to understanding linear equations.

Preview
14:10

Continued from Part 1.

Solving equations using trial and error Part 2

03:35

By the end of this lecture, you will be able to use flow charts to organise more complex equations. You'll also be able to use inverse operations to solve these equations.

Using inverse operations

06:22

By the end of this lecture, you'll be able to use flowcharts to construct algebraic expressions. You will also be able to backtrack to the original input number of the equation using inverse operations.

Building expressions

15:39

By the end of these lectures, you will be able to* solve *equations using the backtracking method in a flowchart. This is where we really get to understand how to solve linear equations.

Solving equations using backtracking Part 1

13:43

Continued from Part 1.

Solving equations using backtracking Part 2

07:06

By the end of this lecture, you'll be able to verify the solution using substitution. One of the best things about linear equations is that you can almost always double check your solution. This lecture will show you exactly how to do that.

Checking solutions

11:16

By the end of this lecture, you will be able to solve equations by balancing them. This is an alternative method to backtracking and both use inverse operations to find the value of the unknown letter. The lecture will teach you how to solve equations quickly and efficiently.

Preview
17:11

By the end of this lecture, you will be able to distinguish different types of patterns as well as devise the rules for those patterns. This is an important practice to determine linear rules based on information given.

Identifying patterns

17:05

By the end of this lecture, you will be able to solve equations that have the unknown on both sides of the equal sign.

Solving equations with unknown on both sides

16:50

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Introduction to Linear Equations - Intermediate
1 Lecture
07:33

By the end of this lecture, you will have a good understanding of the different types of topics we will be covering in this course.

Preview
07:33

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Linear Equations
7 Lectures
01:29:01

In this lecture, we learn the definition of linear equations and see what makes them different to other types of equations.

What are linear equations?

06:14

By the end of this lecture, you will be able to solve a variety of linear equations as well as double check your solutions using substitution methods.

Preview
08:15

Solving linear equations part 2

18:50

By the end of this lecture, you will be able to solve linear equations that include brackets. When a linear equation contains brackets, there are a couple of methods used to solve them depending on the type of question. This lecture will help you understand exactly how to approach different types of these questions.

Solve linear equations with brackets

15:23

By the end of this lecture, you will be able to solve linear equations that have the unknown variable on both sides of the equal sign. We introduced this concept first in the Beginners course and we continue to expand on it here.

Solving equations with unknowns on both sides

15:38

By the end of this lecture, you will have a good understanding of the type of problem solving questions that typically appear in linear equations

Solving problems with linear equations

14:39

By the end of this lecture, you'll be able to rearrange a formula if it has more than one unknown variable. Sometimes you're asked to rearrange a formula to make a specific variable the subject, which is what I'll show you in detail in this lecture.

Rearranging formulas

10:02

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Linear Graphs
12 Lectures
03:24:14

In this lecture, we learn about the Cartesian plane which is where linear equations are drawn.

Cartesian plane in two dimensions

10:25

By the end of this lecture, you'll know exactly how to plot a straight line and the rules behind plotting them. You will be introduced to the general equation of a straight line.

Plotting linear graphs

18:47

By the end of this lecture, you will be able to understand the different unknowns within the general equation of a straight line. You will be introduced to formulas that allow you to complete the general equation.

General equation of a straight line

18:07

By the end of this lecture, you will easily be able to sketch linear graphs using a couple of different methods. This is a really important part of linear graphs so this lecture will be fundamental before continuing onto year 10.

Sketching linear graphs

19:47

By the end of this lecture, you will be able to determine a linear rule based on the information provided.

Determining linear rules

18:14

In this lecture, we learn the rules behind parallel lines and perpendicular lines.

Parallel and perpendicular lines

16:12

By the end of this lecture, you will be able determine the midpoint between two points as well as calculate the distance between them.

Midpoints and distances between points

16:49

In this lecture, we introduce two of the most common type of non-linear relations: parabolas and circles. We will learn some key terminology and learn how to sketch basic graphs. E.g. Sketch the graph of x^{2} + y^{2} = 49.

Non-linear relations

19:48

By the end of this lecture, you will be able to find the coordinates of the intersection point of two linear graphs using the graphing solution.

Graphing solution of simultaneous linear equations

19:27

By the end of this lecture, you will be able to find the coordinates of the intersection point of two linear graphs using the substitution method.

Preview
17:56

By the end of this lecture, you will be able to find the coordinates of the intersection point of two linear graphs using the elimination method.

Solving linear equations using elimination

17:44

By the end of this lecture, you will be able to solve a variety of worded problems that require the use of simultaneous equations.

Problem solving using simultaneous equations

10:58

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Linear Inequations
4 Lectures
42:34

By the end of this lecture, you will be able to solve different kinds of linear inequations.

Solving linear inequations

14:12

By the end of this lecture, you will be able to sketch all kinds of linear inequations.

Sketching linear inequations

12:28

By the end of this lecture, you will be able to solve simultaneous linear inequations with ease.

Solving simultaneous linear inequations

15:35

In this attached document, I provide you with a number of discount coupons to all my other courses, should you be interested in any of them :)

Bonus lecture

00:19

About the Instructor