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Substitution Method Review

Authored by Aliza Khoshaba

Mathematics

8th Grade

CCSS covered

Used 7+ times

Substitution Method Review
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10 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Identify the systems that are ready for substituion.

6x+8y=76x+8y=7 −2x+4y=−8-2x+4y=-8

x=2y+4x=2y+4 7y=6x+87y=6x+8

3x=6y−213x=6y-21 y=23x−30y=\frac{2}{3}x-30

x+y=1x+y=1 2y=−2−5x2y=-2-5x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which option shows a correct way to perform substitution in this system?

3x+1=y3x+1=y
2x+3y=252x+3y=25

3x+1=(3x+1)3x+1=\left(3x+1\right)  

2x+3(3x+1)=252x+3\left(3x+1\right)=25  

2x+(3x+1)=252x+\left(3x+1\right)=25  

3x+1=(25−2x)3x+1=\left(25-2x\right)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which option shows a correct way to perform substitution in this system?

−6x−5y=6-6x-5y=6

y=3−4xy=3-4x

−6x−5(3−4x)=6-6x-5\left(3-4x\right)=6

−6(3+4x)−5y=6-6\left(3+4x\right)-5y=6

−6x−5y(3−4x)=6-6x-5y\left(3-4x\right)=6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

HOTSPOT QUESTION

1 min • 1 pt

Identify the variable that is isolated.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

HOTSPOT QUESTION

1 min • 1 pt

Which variable can you isolate with the least amount of steps.

Tags

CCSS.HSF-BF.B.4A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A sudent used the substituion method to solve the system below.

3x−4y=−113x-4y=-11

x=5−3yx=5-3y

Their work is shown in the picture. Find their mistake

They did not find both variables

They substituted in the wrong variable.

they wrote the solution as (y,x)\left(y,x\right)

No Mistakes.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A sudent used the substituion method to solve the system below.

3x−4y=−113x-4y=-11

x=5−3yx=5-3y

Their work is shown in the picture. Find their mistake

They did not find both variables

They substituted in the wrong variable.

They wrote the solution as (y,x)\left(y,x\right) .

No Mistakes.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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