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  5. Understanding The Substitution Method In Solving Systems Of Equations
Understanding the Substitution Method in Solving Systems of Equations

Understanding the Substitution Method in Solving Systems of Equations

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
8.EE.C.8B, 7.EE.B.4A, 6.EE.A.3

+1

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.7.EE.B.4A
,
CCSS.6.EE.A.3
CCSS.HSA.REI.C.6
,
The video tutorial explains how to solve systems of equations using the substitution method. It begins by introducing the concept of substitution, where one variable is isolated and replaced in another equation. The tutorial demonstrates solving two different systems of equations, first finding the y-value and then using it to find the x-value. The process involves identifying like terms, distributing, and performing basic algebraic operations to isolate variables and find solutions in the form of ordered pairs.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of the substitution method in solving systems of equations?

To graph the equations

To solve for one variable in terms of another

To find the slope of the line

To eliminate all variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the substitution method, what is the first step?

Graph the equations

Add the equations together

Multiply both equations

Look for an isolated variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the substitution method, what do you do after finding an expression for one variable?

Graph the expression

Ignore the expression

Substitute it into the other equation

Solve for the same variable again

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to isolate the variable after combining like terms?

Division

Multiplication

Subtraction

Addition

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations in the first example?

(2, 4)

(2, 8)

(8, 2)

(4, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second problem, what expression is substituted for y?

3x + 5

x + 7

4x + 2

2x - 1

Tags

CCSS.6.EE.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing the positive two in the second problem?

-2x - 14

2x - 14

-2x + 14

2x + 14

Tags

CCSS.7.EE.B.4A

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