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Solving Systems of Equations Using the Substitution Method

Solving Systems of Equations Using the Substitution Method

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 7.EE.B.4A, HSA.REI.C.6

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.7.EE.B.4A
,
CCSS.HSA.REI.C.6
The video tutorial explains how to solve a system of equations using the substitution method. It begins with an introduction to the concept of solving systems, highlighting the possibility of unique, no, or infinite solutions. The tutorial then outlines the steps for the substitution method: solving for a variable, substituting into the other equation, solving the resulting equation, and performing back substitution. An example problem is solved step-by-step, and the solution is verified. The video concludes by connecting the solution to a graphical representation, showing the point of intersection of the equations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean to solve a system of equations?

To find the values of x and y that satisfy both equations.

To graph the equations on a coordinate plane.

To determine the slope of the equations.

To find the y-intercept of the equations.

Tags

CCSS.8.EE.C.8B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a possible outcome when solving systems of equations graphically?

Two unique solutions

No solutions

One unique solution

An infinite number of solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the substitution method?

Check the solution.

Solve for a variable in one of the equations.

Substitute the isolated variable into the other equation.

Solve the equation with one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you do after solving for a variable in one of the equations in the substitution method?

Check the solution.

Graph the equations.

Perform back substitution.

Substitute the isolated variable into the other equation.

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the given example, what is the value of x after solving the equation?

-4

4

-8

8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after finding the value of x in the substitution method?

Graph the equations.

Check the solution.

Solve for another variable.

Perform back substitution to find the value of y.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y in the given example after performing back substitution?

-4

8

4

-8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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