About This Chapter
Standard: Analyze and solve linear equations and pairs of simultaneous linear equations.
About This Chapter
Students who have mastered this standard are able to combine like terms and simplify expressions. They also can write equations based on essential information.
Lessons in this standard address concepts such as:
- Understanding commutative, associate and distributive properties in algebraic expressions
- Strategies for problem solving with linear equations
- Tips for using systems of equations
Students show they've mastered this standard by writing linear equations and solving problems involving systems of equations. They also understand how to deal with negative signs while simplifying algebraic expressions. Mastery of this standard provides a basis for higher-level algebra coursework in college and for encountering real-world math problems leading to two linear equations in two variables.
How to Use These Lessons in Your Classroom
Here are some tips for using these lessons to support instruction in the CCSS.Math.Content.8.EE.C standard:
Real-World Math Lessons
Share the video Problem Solving using Linear Equations with your class. Review the practice problem examples. Organize students into small groups and challenge them to design additional real-world linear equation problems, writing their solutions on separate pages. After determining validity, exchange problems between groups and ask them to solve.
Systems of Equations Math Practice Lessons
After watching the video lesson pertaining to solving problems involving systems of equations, review the counting, money and percent practice problems. Ask students to independently solve an additional set of similar problems.
Review Math Lessons
Ask students to complete all lesson quizzes. Reflect on any concepts requiring additional study. Group your students by quiz results for review and retesting. Students who demonstrated mastery earlier on might serve as student tutors or mentors for others.
1. The Commutative and Associative Properties and Algebraic Expressions
The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.
2. The Distributive Property and Algebraic Expressions
The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.
3. Combining Like Terms in Algebraic Expressions
When you have an algebraic expression that's much too long, it would be great if you could simplify it. That's when knowing how to combine like terms comes in. In this lesson, we'll learn the process of combining like terms and practice simplifying expressions.
4. Practice Simplifying Algebraic Expressions
In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify.
5. Negative Signs and Simplifying Algebraic Expressions
Don't let negative signs get you down. In this lesson, we'll stay positive as we practice simplifying algebraic expressions that have those tricky negative signs.
6. What is a Linear Equation?
Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.
7. How to Write a Linear Equation
Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.
8. Problem solving using Linear Equations
From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.
9. What is a System of Equations?
So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.
10. How Do I Use a System of Equations?
There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.
11. Solving a System of Equations with Two Unknowns
When you have two variables and two equations, is solving the problem four times as hard? No! Not when you use the substitution or elimination method to solve systems of equations. We'll practice both in this lesson.
12. Solving Problems Involving Systems of Equations
Did you ever encounter a problem where you seem to have lots of information, but still have a couple of critical numbers missing? In this lesson, we'll practice solving word problems that require us to set up systems of equations.
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Other chapters within the Common Core Math Grade 8 - Expressions & Equations: Standards course