Elimination and Substitution Methods

This lesson in 8th grade Eureka Math covers solving systems of equations using the substitution and elimination methods. It begins with an introduction to key vocabulary and concepts, followed by a review of graphing and substitution methods. The lesson then introduces the elimination method, providing examples and shortcuts for both methods. Students are encouraged to practice these methods through exercises, with a focus on understanding and applying the strategies effectively.

What is the main focus of Lesson 28 in Eureka Math?

• Understanding fractions

• Using the elimination method

• Learning about geometry

• Graphing systems of equations

How is a system of equations represented?

• With a table

• With a single equation

• With a bracket in front of them

• With a graph

Which method involves replacing similar terms in equations?

• Graphing method

• Fraction method

• Elimination method

• Substitution method

In the substitution method, what is the first step when both equations are in slope-intercept form?

• Multiply the equations

• Set y equal to y

• Graph the equations

• Add the equations together

What is the goal of the elimination method?

• To substitute variables

• To graph the equations

• To find the slope

• To eliminate a variable

When using the elimination method, what should you look for in the equations?

• Fractional terms

• Graphical terms

• Identical terms

• Opposite terms

What should you do if there are no obvious opposite terms in the equations?

• Graph the equations

• Skip the problem

• Change one or both equations

• Use a calculator

What is the purpose of the practice exercises in the lesson?

• To memorize equations

• To apply the elimination method

• To learn new vocabulary

• To practice graphing

What resource is suggested for additional help with the elimination method?

• Online videos

• Class notes

• Homework helper

• Textbook

What should students do after completing the problem set?

• Graph their solutions

• Check their answers with the teacher

• Submit their answers online

• Discuss with classmates