Lesson 08: How Many Solutions? | Unit 4: Linear Equations and Linear Systems

Presentation

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Mathematics

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8th Grade

•

Medium

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CCSS

6.NS.B.3, 8.EE.C.7A

Standards-aligned

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18 Slides • 8 Questions

Open Ended

Lin is looking at the equation $2x-32+4(3x-2462) = 14x$ . She said, “I can tell right away that there are no solutions, because on the left side, you will have $2x+12x$ and a bunch of constants, but you have just $14x$ on the right side.” Do you agree with Lin? Explain your reasoning.

Type response here

Open Ended

Han is looking at the equation $6x-4+2(5x+2)=16x$ . He says, “I can tell right away there are no solutions, because on the left side, you will have $6x+10x$ and a bunch of constants, but you have just $16x$ on the right side.” Do you agree with Han? Explain your reasoning.

Type response here

Multiple Choice

Decide whether the equation $6x-4=-4+6x$ is true for all, one, or no values of $x$ .

All values of $x$

One value of $x$

No values of $x$

Multiple Choice

Decide whether the equation $4x-6=4x+3$ is true for all, one, or no values of $x$ .

All values of $x$

One value of $x$

No values of $x$

Multiple Choice

Decide whether the equation $-2x+4=-3x+4$ is true for all, one, or no values of $x$ .

All values of $x$

One value of $x$

No values of $x$

Multiple Choice

Decide whether the equation $2x+8=-3.5x+19$ is true for all, one, or no values of $x$ .

All values of $x$

One value of $x$

No values of $x$

Multiple Choice

Decide whether the equation $9(x-2)=7x+5$ is true for all, one, or no values of $x$ .

All values of $x$

One value of $x$

No values of $x$

Multiple Choice

Decide whether the equation $3(3x+2)-2x=7x+6$ is true for all, one, or no values of $x$ .

All values of $x$

One value of $x$

No values of $x$

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