What is the definition of no solution?

no matter what constant is substituted in for the variable, the equation will NEVER be true

no matter what constant is substituted in for the variable, the equation is ALWAYS true

only this ONE solution will make the equation true

Quiz Review - Types of Solutions

Authored by Jennifer Lowell

Mathematics

8th - 9th Grade

CCSS covered

Used 23+ times

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17 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$7x-3=7x+5$

No Solution

Infinite Solutions

$x=2$

$x=8$

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$5\left(2+x\right)=45+5x$

No Solution

Infinite Solutions

$x=35$

$x=55$

Tags

CCSS.6.EE.B.7

CCSS.6.EE.B.5

CCSS.6.EE.B.6

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$6x+5=8+4x+2x$

No Solution

Infinite Solutions

$x=3$

$x=13$

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$3\left(4-5x\right)=-2-15x$

No Solution

Infinite Solutions

$x=14$

$x=10$

Tags

CCSS.8.EE.C.7B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$7x-3=-3+7x$

No Solution

Infinite Solutions

$x=0$

$x=6$

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$2\left(x-2\right)=2x-4$

No Solution

Infinite Solutions

$x=8$

$x=-8$

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$2\left(5x-2\right)=-4+10x$

No Solution

Infinite Solutions

$x=-8$

$x=12$

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$-2-2x+7x=3$

$x=1$

$x=5$

No Solution

Infinite Solutions

Tags

CCSS.8.EE.C.7B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$-24+20x=24+8x$

$x=4$

$x=-2$

No Solution

Infinite Solutions

Tags

CCSS.6.EE.B.7

CCSS.6.EE.B.5

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Quiz Review - Types of Solutions

7x−3=7x+57x-3=7x+57x−3=7x+5

5(2+x)=45+5x5\left(2+x\right)=45+5x5(2+x)=45+5x

6x+5=8+4x+2x6x+5=8+4x+2x6x+5=8+4x+2x

3(4−5x)=−2−15x3\left(4-5x\right)=-2-15x3(4−5x)=−2−15x

7x−3=−3+7x7x-3=-3+7x7x−3=−3+7x

2(x−2)=2x−42\left(x-2\right)=2x-42(x−2)=2x−4

2(5x−2)=−4+10x2\left(5x-2\right)=-4+10x2(5x−2)=−4+10x

−2−2x+7x=3-2-2x+7x=3−2−2x+7x=3

−24+20x=24+8x-24+20x=24+8x−24+20x=24+8x

What is the solution to this equation?

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$7x-3=7x+5$

$5\left(2+x\right)=45+5x$

$6x+5=8+4x+2x$

$3\left(4-5x\right)=-2-15x$

$7x-3=-3+7x$

$2\left(x-2\right)=2x-4$

$2\left(5x-2\right)=-4+10x$

$-2-2x+7x=3$

$-24+20x=24+8x$