MultiStep Inequalities

Presentation

•

Mathematics

•

7th - 10th Grade

•

Medium

•

CCSS

HSA.REI.B.3, 7.EE.B.4B, 6.EE.B.8

Standards-aligned

Tony Gates

Used 9K+ times

FREE Resource

6 Slides • 14 Questions

Solving Multi-Step Inequalities

Solving Multi-step inequalities

very similar to solving multi-step equations
combine like terms
get all the variables on one side
isolate the variables

Multiple Choice

Solve this

$3x+4\le19$

x = 5

$x\ >5$

$x\le5$

Multiple Choice

How would you describe the answer to the previous question?

All numbers below 5

All numbers above 5

All numbers less than or equal to 5

Sometimes you have to combine like terms before you can solve the inequality

Multiple Choice

$8n-6n>24$

What is your first step in solving this inequality?

Subtract 8n on both sides

Combine 8n and -6n

Add 6n on both sides

Multiple Choice

What is the answer to this inequality?

8n-6n>24

n>12

$n<12$

$n\ge12$

Sometimes you must distribute first, and then combine like terms before you can solve the inequality.

Fill in the Blanks

$4\left(4n-3\right)\le\left(-44\right)$
The first thing I need to do is distribute the

Type answer...

to 4n and 3.

Multiple Select

4\left(4n-3\right)\le\left(-44\right)

After distributing, my iniquality should look like what?

$8n-3\le-44$

$8n-7\le-44$

$16n-12\le-44$

$16n-3\le-44$

Multiple Choice

Now solve

$16n-12\le-44$

$n\ge-2$

$n\le-2$

$n\ge2$

Now try these......

Multiple Choice

$3\left(3+3n\right)>27$

$n>2$

$n<2$

$n\ge3$

Multiple Choice

$33\le3\left(2+3p\right)$

$p<3$

$p<11$

$p\ge3$

Something interesting happens when you multiply or divide both side of an inequality by a negative number.

Open Ended

Take for example....

3>1

We know this is true. 3 is greater than 1. But what if we multiplied both sides by -1....

\left(-1\right)3>\left(-1\right)1

Then we get this....

-3>-1

THIS ISN'T TRUE!!!

The only way to make it true would be to flip around the inequality like this..

-3<-1

Type response here

Multiple Choice

Solve this......

$3\left(3-3n\right)<36$

$n<-3$

$n>-3$

$n\le-3$

Fill in the Blanks

Whenever I multiply or divide both sides of an inequality by a NEGATIVE, I must

Type answer...

the inequality sign.

Multiple Choice

Now lets put it all together! Distribute, combine and solve!!

$-3\left(2-3x\right)<-33$

$x<3$

$x>-3$

$x<-3$

Poll

How do you feel about solving inequalities now?

Great

Good

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Solving Multi-Step Inequalities

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