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Solving Linear equations is a fundamental skill that all high school math students must master if they wish to succeed in mathematics. Ace your next math test and rise to the top of your class!
This course contains everything you will need to know to solve any linear equation:
Here's a testimonial from Alexander, one of my high school students:
"Karim is a great teacher that is motivating and patient. Every time I go to see him he gives me warmup questions that are very challenging and causes me to think outside the box. He also comes up with strategies, steps and formulas for concepts that were very difficult for me to understand that have helped me to gain a better understanding of them. Karim is one of the best teachers not just because of his knowledge but also because of his work ethic and attitude. :)" Alexander
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Section 1: Introduction to Linear Equations  

Lecture 1  2 pages  
Explanation of the 5 parts of an equation such as terms, variables, constants, coefficients and expressions. 

Lecture 2 
What is a linear equation?
Preview

1 page  
Lecture 3 
The 4 major types of linear equations

2 pages  
Section 2: Solving Linear Equations of the form: ax = b (Type 1)  
Lecture 4  03:39  
This lecture will walk you through how to solve linear equations of the form ax=b with a whole number coefficient (e.g. 2x = 6). 

Lecture 5  03:38  
This lecture will walk you through how to solve linear equations of the form ax=b with a negative integer coefficient (e.g. 3x = 81). 

Lecture 6  04:21  
This lecture will walk you through how to solve linear equations of the form ax=b with a fractional coefficient (e.g. 2x/3 = 5). 

Lecture 7  1 page  
Here are some practice questions for you to complete offline. The numerical answers are always so you can check your work. 

Lecture 8  1 page  
Here is a challenge question for those of you who are brave! (3x/4 = 5/6) 

Lecture 9  05:58  
A full solution to the challenge question. Using the Least Common Multiple (LCM) to solve an ax=b type linear equation with fractions on both sides. 

Lecture 10  02:36  
Using crossmultiplication to solve an ax=b type linear equation with fractions on both sides. 

Section 3: Solving linear equations of the form: ax + b = c (Type 2)  
Lecture 11  03:35  
This lecture will walk you through how to solve linear equations of the form ax+b=c with a whole number coefficient and constant terms. [e.g. 4x +2 = 10] 

Lecture 12  03:19  
This lecture will walk you through how to solve linear equations of the form ax+b=c with a negative integer coefficient and negative constant term. [e.g. 3x +7 = 5] 

Lecture 13  03:56  
This lecture will walk you through how to solve linear equations of the form ax+b=c with a fractional coefficient and constant terms. [e.g. x/2 + 3 = 1] 

Lecture 14  07:13  
This lecture will walk you through how to solve linear equations of the form ax+b=c with a whole number coefficient and fractional constant terms. [e.g. 2x + 1/2 = 1/5] 

Lecture 15  03:44  
This lecture will walk you through how to solve linear equations of the form ax+b=c with a whole number coefficient and fractional constant terms. [e.g. 2x + 1/2 = 1/5] 

Lecture 16  1 page  
Here are some practice questions for you to complete offline. The numerical answers are always included so you can check your work. 

Lecture 17  1 page  
Solve for x: x/4  1/5 = 2/3 

Lecture 18 
Type 2 Challenge question solved

07:11  
Section 4: Solving linear equations of the form: a(x + b) = c (Type 3)  
Lecture 19  03:29  
This lecture will walk you through how to solve linear equations of the form a(x+b)=c with a whole number coefficient and constant terms. [e.g. 4(x +2) = 10] 

Lecture 20  05:02  
This lecture will walk you through how to solve linear equations of the form a(x+b)=c with a negative integer coefficient and negative constant term. [e.g. 3(x +7) = 5] 

Lecture 21  03:49  
This lecture will walk you through how to solve linear equations of the form a(x+b)=c with a fractional coefficient and negative constant term. [e.g. (x+3)/2 = 1] 

Lecture 22 
Type 3 Practice worksheet

1 page  
Lecture 23 
Type 3 Challenge question

1 page  
Lecture 24 
Type 3 Challenge question solved

10:01  
Section 5: Solving linear equations of the form: ax + b = cx + d (Type 4)  
Lecture 25  03:13  
This lecture will walk you through how to solve linear equations of the form ax+b=cx+d with whole number coefficient and constant terms.[e.g. 2x + 5 = 3x + 1] 

Lecture 26  05:41  
This lecture will walk you through how to solve linear equations of the form ax+b=cx+d with negative integer coefficient and constant terms.[e.g. 4 + 3x = 2x + 7] 

Lecture 27  06:00  
This lecture will walk you through how to solve linear equations of the form ax+b=cx+d with a fractional coefficient and constant terms. 

Lecture 28 
Type 4 Practice worksheet
Preview

1 page  
Lecture 29 
Type 4 Challenge question

1 page  
Lecture 30 
Type 4 Challenge question solved (method 1)

10:32  
Lecture 31 
Type 4 Challenge question solved (method 2)

07:28  
Section 6: Conclusion  
Lecture 32  26 pages  
A summary ebook for the course containing:


Quiz 1  5 questions  
Try this Quiz to test your mastery of linear equation solving! 
A graduate of the University of Toronto's Engineering Science Program, Karim has worked with hundreds of students of all levels to help them discover that Math is a subject that can be mastered so long as they have the right teacher to steer them along the journey. While studying Aerospace Engineering, Karim acquired a deep understanding of mathematics and science and has practiced engineering for 18 years.
Karim operates a Math Learning Centre in the Northern suburbs of Toronto where he has mentored and guided hundreds of students to success in math with his patient and endearing teaching approach. He has a knack for explaining difficult concepts in simple terms and his clear and engaging lecture videos will give you the tips, tricks and strategies to solve difficult math problems.
Karim wasn't always a Math Wiz and success with Math did not come easily. He struggled with fractions and long division in middle school until a caring and patient math teacher helped him to discover that math was a subject not to be feared and could be mastered with patience and discipline.
Now students all over the globe can share Karim's math wisdom and passion and discover their own Math Wiz within. Join Karim on Udemy and propel your Math knowledge to the next level!