Back To Course

Saxon Algebra 2 Homeschool: Online Textbook Help38 chapters | 297 lessons

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

There are several methods that can be used to solve equations. In this lesson, you'll learn about using the least common multiple method to help you combine and solve for your variable.

You might remember from your fraction days that the **least common multiple** (LCM), the lowest number that is a multiple of all your given numbers, is a number that can help you combine fractions. For example, to add 1/2 and 3/4, you have to find the least common multiple for the denominator before you could add these two fractions together like this.

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

The least common multiple for the denominator here is 4.

Well, you can use the least common multiple to help you solve your algebraic equations when you need to combine fractions to help you simplify your equations. To do this, follow these steps.

- Move all your variable terms to one side of the equation and all your constant terms to the other.
- Use the LCM to combine any fraction terms that are like terms.
- Continue solving for your variable by using your algebra skills.

Let's take a look at these steps in action now.

Let's solve this equation for the *x* variable.

Following the steps, you first move all your variable terms to one side. So pick one side, say the left side. Now move all the constant terms to the other side, the right side. Here is what it looks like.

Now, in the second step, combine your fractions with the help of the least common multiple. You are combining fractions, so your least common multiple will help you figure out what your denominators need to be before you can simplify this part of your equation.

You have 7 and 2 as denominators, so your least common multiple for these two numbers is 14. So you need to change both fractions so they both have a denominator of 14. Then you can combine them.

After using the LCM to help you combine fraction terms, continue solving for your variable using your algebra skills.

And you are done! Your answer is -28.

Let's look at another example and see if you can solve it on your own before reading the answer that follows.

This time, solve this equation for the unknown variable.

What's your first step? That's right, you move all your variable terms to one side and your constant terms to the other. Remember, it doesn't matter which side you choose as long as you keep them on opposite sides of the equal sign. This time, you can move your constants to the left side and your variables to the right side.

You have fractions, so now you need to use your least common multiple to help you combine your fractions.

Then, you finish your problem by using your algebra skills.

And you are done. Your answer is 156 / 7.

Let's review.

Your **least common multiple** (LCM) is the lowest number that is a multiple of all your given numbers.

To use it to help you solve algebraic equations, follow these steps.

- Move all your variable terms to one side of the equation and all your constant terms to the other.
- Use the LCM to combine any fraction terms that are like terms.
- Continue solving for your variable by using your algebra skills.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackWhat teachers are saying about Study.com

Already registered? Login here for access

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
8 in chapter 18 of the course:

Back To Course

Saxon Algebra 2 Homeschool: Online Textbook Help38 chapters | 297 lessons

- Defining, Translating, & Solving One-Step Equations 6:15
- Simplifying & Solving Equivalent Equations
- Solving Equations Using the Addition Principle 5:20
- Solving Equations Using the Multiplication Principle 4:03
- How to Use the Fractional-Part-of-a-Number Equation
- Abstract Equation: Definition & Concept
- Simplifying & Solving Equations With Decimals & Mixed Numbers
- Solving Equations Using the Least Common Multiple
- Solving Addition Equations with Two or More Variables 7:57
- Solving Subtraction Equations with Two or More Variables 6:28
- How to Solve Equations with Multiple Steps 5:44
- Solving Multi-Step Equations with Multiple Variables
- Solving Equations Using Distributive Property
- Translating Words to Algebraic Expressions 6:31
- Direct and Inverse Variation Problems: Definition & Examples 6:27
- Solving Equations Involving Variation
- How to Solve a Rational Equation 7:58
- Solving Radical Equations with Two Radical Terms 6:00
- Go to Saxon Algebra 2: Simplifying and Solving Equations

- Computer Science 109: Introduction to Programming
- Introduction to HTML & CSS
- Introduction to JavaScript
- Computer Science 332: Cybersecurity Policies and Management
- Introduction to SQL
- TExES Chemistry: Equipment, Safety & Measurements
- MTLE Life Science: Using Statistics
- Important Events in the US (1954-1980)
- Martin Luther & The Protestant Reformation in Europe
- Early Civilizations & The Ancient Near East
- CEOE Test Cost
- PHR Exam Registration Information
- Claiming a Tax Deduction for Your Study.com Teacher Edition
- What is the PHR Exam?
- Anti-Bullying Survey Finds Teachers Lack the Support They Need
- What is the ASCP Exam?
- ASCPI vs ASCP

- Displacement Current: Definition & Function
- Finding the Basis of a Vector Space
- Time Series Analysis & Its Applications
- Diazonium Salts: Preparation & Chemical Reactions
- Spanish Heritage Month Project Ideas
- Practical Application: Types of Customer Loyalty Programs
- Ecosystem Project Ideas for 5th Grade
- Quiz & Worksheet - Syn & Anti Addition in Stereochemistry
- Quiz & Worksheet - Asymmetric Carbons
- Quiz & Worksheet - Osteoporosis & Osteomalacia Comparison
- Quiz & Worksheet - Cumulative Distribution Function Calculation
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies
- Assessment in Schools | A Guide to Assessment Types
- Statistics Worksheets

- National Board Certification Exam - English Language Arts/Adolescence & Young Adulthood: Practice & Study Guide
- Technical Writing Syllabus Resource & Lesson Plans
- US History 1786-1870: Lesson Plans & Resources
- Holt Science Spectrum - Physical Science: Online Textbook Help
- ICAS English - Paper B: Test Prep & Practice
- Interpreting Tables & Plots
- Teaching The Call of the Wild
- Quiz & Worksheet - Reward, Punishment & Justice
- Quiz & Worksheet - Impact of Rivers on Early Civilizations
- Quiz & Worksheet - What is Counter Terrorism?
- Quiz & Worksheet - Alcohol Poisoning
- Quiz & Worksheet - The Allegory of the Cave

- Expansion of Melanesian, Polynesian & Micronesian Cultures
- Life in The North After The Civil War Lesson Plan
- Alabama State Standards for Science
- Learning Activities for Children with Down Syndrome
- Pros & Cons of Homeschooling
- Critical Thinking Skills for Kids
- Multiplication Rhymes & Tricks for Kids
- Constellations for Kids: Projects & Activities
- WV College & Career Readiness Standards for Social Studies
- Kentucky Science Standards for Kindergarten
- How to Create Flashcards for Kids
- Cellular Respiration Lesson Plan

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject