Understanding the Elimination Method in Solving Linear Equations

Understanding the Elimination Method in Solving Linear Equations

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Hard

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

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.6.EE.B.7
,
CCSS.HSA.REI.C.6
The video tutorial explains how to solve a system of linear equations using the elimination method. It begins by introducing the concept of elimination, where equations are added to eliminate one variable. The tutorial then demonstrates how to prepare equations by making terms opposites, either by multiplying by constants or adjusting terms. The process of solving for X is shown by multiplying equations and simplifying. After finding X, the tutorial explains how to substitute it back into one of the original equations to solve for Y. Finally, the solution is verified by substituting the values back into both equations to ensure they satisfy the system.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when using the elimination method to solve a system of linear equations?

To graph the equations and find the intersection

To eliminate one variable by making its coefficients opposites

To find the sum of the equations

To multiply both equations by the same constant

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the elimination method, what must be true about the coefficients of the variable you want to eliminate?

They must be opposites

They must be zero

They must be equal

They must be positive

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed on the first equation to make the y terms opposites in this example?

Add 5

Multiply by 5

Subtract 5

Multiply by -5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After eliminating the y variable, what is the next step in solving the system of equations?

Graph the equations

Solve for y

Check the solution

Solve for x

Tags

CCSS.6.EE.B.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x after solving the equation -8x = 32?

x = -4

x = 4

x = 8

x = -8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Once x is found, what method is used to find the value of y?

Graphing

Substitution

Elimination

Trial and error

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the ordered pair solution for the system of equations in this example?

(4, 2)

(4, -2)

(-4, 2)

(-4, -2)

Tags

CCSS.8.EE.C.8B

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