Substitution Method in Systems of Equations

Substitution Method in Systems of Equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to solve a system of linear equations with three variables using the substitution method. The instructor guides viewers through the process of selecting a variable to solve for, substituting it into other equations, and simplifying to find the solution. The tutorial emphasizes choosing variables with a coefficient of one to simplify calculations and demonstrates the method step-by-step, ultimately solving for all variables and presenting the final solution.

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28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of this lesson?

Solving quadratic equations

Factoring polynomials

Solving systems of linear equations using substitution

Graphing linear equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is being compared to substitution in this lesson?

Graphing method

Matrix method

Elimination method

Factoring method

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if you want to attempt solving the system on your own?

Ask a friend for help

Read a textbook

Take a screenshot of the problem

Watch another video

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in using the substitution method?

Graph the equations

Add all equations

Multiply all equations

Solve for one of the variables

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it beneficial to solve for a variable with a coefficient of one?

It reduces the number of variables

It simplifies the equation

It makes the graph easier

It eliminates the need for substitution

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of solving for x in the middle equation?

x = y + 2z + 4

x = 2y - z - 4

x = 2y + z + 4

x = y - 2z - 4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you do after finding the expression for x?

Add it to the original equation

Substitute it into the other equations

Solve for another variable

Graph the expression

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