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Elimination Method Different Coefficients

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Elimination Method Different Coefficients
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

-4x - 6y = -24

4x - 7y = - 54

Let's combine (add) these 2 equations to ELIMINATE the x variable. What would our combined equations be?

-1y = 30

13y = -30

-1y = -78

-13y = -78

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The coefficients of the eliminated variable must be _____.

opposites

the same

distinct

does not matter

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a student wanted to use elimination on this problem, what would they have to do first?

Divide by 4 in the first equation

Isolate the variables on both equations

Subtract 8y from the first equation

Add 3 to the second equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the four methods would you use to solve this by elimination?

Method 1 (Subtract the equations)

Method 2 (Add the equations)

Method 3 (Criss-cross coefficients and subtract)

Method 4 (Criss-cross coefficients and add)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The process of adding or subtracting scales of one equation from another is called

Substitution

Elimination

Graphing

Guessing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step in using the elimination method to solve simultaneous equations?

Subtract one equation from the other

Add the two equations together

Divide both equations by a common factor

Make the coefficients of one of the variables the same in both equations

Answer explanation

The first step in using the elimination method is to make the coefficients of one of the variables the same in both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following system of equations using the elimination method: 2x + 3y = 11 and 4x - 2y = 6

x = 2.5, y = 2

x = 2, y = 2.5

x = 5, y = 2

x = 2, y = 4

Answer explanation

To solve the system of equations, multiply the first equation by 2 to eliminate y. Then subtract the second equation from the first to find x. Substitute x back to find y. The correct solution is x = 2.5, y = 2.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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