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Systems of Equations

Subject Area: Mathematics (B.E.S.T.) | Grade Level: 9
Lesson Length: 15 minutes or less
Keywords/Tags: Systems, Equations, Substitution, Inverse Operations, X-value, Y-value, Solve, Variable
Lesson Description: Students will solve systems of equations using substitution; in two variables and justify the process. Students will watch the video lesson and practice their skills with IXL to receive instant feedback and self-assess.

Other MGSE9-12.A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Other CCSS.MATH.CONTENT.HSA.REI.C.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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Video : Solving Systems of Equations using Substitution Lesson

Instructions: Please watch the following video as many times as needed before starting to go through other lesson pages. Understanding the content of the video is very important since the lesson activities will be all about this video content.

Description: Learn how to solve systems of equations using the substitution method.

Quiz : Solving using Substitution

Instructions: Please complete this quiz by choosing the correct answer for each question. You can take this quiz as many times needed.

Question #1

The first step for solving using substitution, is to solve for a variable.

A) True

B) False

Question #2

What should you do once you solve for the first variable in terms of the other?

A) Substitute the constraint into the other equation.

B) You rearrange the other original equation to solve for the other variable.

C) You have completed the problem.

Question #3

You don't have to use parthenthesis when you subsitute in a value.

A) True

B) False

Question #4

Its called the substitution method because I can substitute in a value to replace one variable and now...

A) I can solve for both unknowns.

B) I have satisfied the equation.

C) I have one unknown and can solve for that variable.

Question #5

Before I use inverse opperations to solve, I have to combine like terms that are on the same side (if neccessary).

A) True

B) False

Question #6

Once you have identified the specifc value of x or y, you now...

A) should check your answer.

B) have to substitute the number value in for the variable you solved for and find the value of the remaining variable.

C) have to justify your answer and explain why you cannot solve for the other variable.

Question #7

How should you write the solution to a system of equations?

A) as an ordered pair

B) plug them into one of the equations and show that it satisfies the system

C) sketch a graph and show the solution as a coordinate

Question #8

The solution only has to satify one equation in the system.

A) True

B) False

Question #9

If you solve the same system using substitution and by graphing, you will get different answers.

A) True

B) False

Question #10

How do you begin solving a system of equations word problem?

A) by defining x and y

B) highlighting key words

C) looking for the numbers

Description: After watching the lesson video, complete the following quiz.

Resources : Additional Resources

Instructions: Please complete IXL: V. Systems of Linear Equations (8,9).

IXL
IXL practice for solving systems of equations using substitution.

How to use substitution
Learn more about solving systems using substitution.

Khan Academy Lesson

Description: This link will send you to IXL to practice solving systems of equations using substitution. While practicing, the site will provide instant feedback so that you can identify your strengths and weaknesses regarding solving using this method. Make a note of both, and we will discuss them during our face-to-face class.

Standards:

Video : Solving Systems of Equations using Substitution Lesson

Quiz : Solving using Substitution

Resources : Additional Resources