How to Solve Linear Equations in 5 Simple Steps
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How to Solve Linear Equations in 5 Simple Steps

The skills and tips you need to quickly master how to solve the 4 major types of linear equations in 5 easy steps.
4.0 (2 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
227 students enrolled
Created by Karim Premji
Last updated 10/2014
English
Current price: $10 Original price: $25 Discount: 60% off
1 day left at this price!
30-Day Money-Back Guarantee
Includes:
  • 1.5 hours on-demand video
  • 12 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • By the end of this course students will be able to solve any linear equation quickly and accurately using Karim's simple steps and strategies
View Curriculum
Requirements
  • No previous knowledge of equation solving is required
  • A basic understanding of how to add, subtract, divide and multiply integers and fractions is ideal
Description

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:

  • 32 lectures with 150 minutes of video content
  • 20 example questions with full step-by-step video guided solutions for each of the 4 types of linear equations that students will encounter
  • Practice sheets loaded with 32 practice questions with numerical answers provided to help students master equation solving!
  • Challenge questions covering all 4 types of linear equations
  • A full video guided solution to each challenge question
  • A downloadable course e-book containing Karim's 5 simple steps to solving linear equations along with all the practice sheets and challenge questions and quiz solutions in one pdf file for easy reference
  • A short quiz with full solutions provided in the course e-book

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 warm-up 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

Who is the target audience?
  • This course will benefit students currently taking math courses at the upper elementary or high school level or even adult learners wishing to review and polish their equation solving skills.
  • Students in Grade 8, Grade 9 or Grade 10
  • Students taking Algebra 1 or Algebra 2 students looking for a refresher on equation solving techniques
Students Who Viewed This Course Also Viewed
Curriculum For This Course
Expand All 32 Lectures Collapse All 32 Lectures 02:23:25
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Introduction to Linear Equations
3 Lectures 00:00

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

Preview 2 pages


The 4 major types of linear equations
2 pages
+
Solving Linear Equations of the form: ax = b (Type 1)
7 Lectures 20:12

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).

Preview 03:39

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).

Solving a Type 1 linear equation example 2
03:38

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).

Solving a Type 1 linear equation example 3
04:21

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

Preview 1 page

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

Type 1 Challenge question
1 page

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.

Type 1 Challenge question solved (method 1)
05:58

Using cross-multiplication to solve an ax=b type linear equation with fractions on both sides.

Preview 02:36
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Solving linear equations of the form: ax + b = c (Type 2)
8 Lectures 28:58

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]

Preview 03:35

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]

Solving a Type 2 linear equation example 2
03:19

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]

Solving a Type 2 linear equation example 3
03:56

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]

Solving a Type 2 linear equation example 4
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]

Solving a Type 2 linear equation example 5
03:44

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

Type 2 Practice worksheet
1 page

Solve for x:

-x/4 - 1/5 = -2/3

Type 2 Challenge question
1 page

Type 2 Challenge question solved
07:11
+
Solving linear equations of the form: a(x + b) = c (Type 3)
6 Lectures 22:21

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]

Solving a Type 3 linear equation example 1
03:29

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]

Preview 05:02

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]

Solving a Type 3 linear equation example 3
03:49

Type 3 Practice worksheet
1 page

Type 3 Challenge question
1 page

Type 3 Challenge question solved
10:01
+
Solving linear equations of the form: ax + b = cx + d (Type 4)
7 Lectures 32:54

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]

Preview 03:13

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]

Solving a Type 4 linear equation example 2
05:41

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.

Solving a Type 4 linear equation example 3
06:00


Type 4 Challenge question
1 page

Type 4 Challenge question solved (method 1)
10:32

Type 4 Challenge question solved (method 2)
07:28
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Conclusion
1 Lecture 00:00

A summary ebook for the course containing:

  1. The 5 simple steps explained
  2. The challenge questions with numerical answers
  3. The practice worksheets with numerical answers
  4. The quiz solutions
Course ebook
26 pages

Try this Quiz to test your mastery of linear equation solving!

Final Quiz
5 questions
About the Instructor
Karim Premji
4.0 Average rating
2 Reviews
227 Students
1 Course
Math Expert, Engineer, and Entrepreneur

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!