Inequalities

Miller Williams

Grade: 9

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Terms

One Step Equation

Two Step Equation

Review

One step Inequalities

Quiz One Step

Inequalities

Two step Inequalities

Quiz Two Step

Inequalities

Multi step Inequalitie

s

Quiz Multi step

Inequalities

Answer Q#1

Quiz

Quiz 2

Answer Q#2

Multi step

equation

Quiz 3

Answer Q#3

Graphing

Writing and

Graphing

Answer Q#4

Answer Q#5

Answer Q#6

Review

Answer

Signs and Meanings

Any Questions?

Terms for Equations?

Variable

Expression

Solution

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One Step Equations

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X-4=7

+4 =+4

X=12

Quiz

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12=x+8 21-x=98 -15+v=31

Answer

12=x+8

-8 -8 4=x

X=4

X-21=98

+21 +21

X=119

-15+v=31

+15 +15

V=46

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Two Step Equations

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2x+5=25-5 = -5

2x=202

X=102

Quiz Two Step Equations

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3x-5=4 11+7x=77 -4x+24=6

Answer

3x-5=4 11+7x=77 -4x+24=6+5 +5

3x=9

3 3

X=3

-11 -11

7x= 66

7 7

X=66/7 or 9.4

-24 -24

-4x=-18

-4 -4

X=9/2 or 4.5

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Multi-Step Equations

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4(x-9)=54

4x-36=54

4x=90

X=22.5 or 45/2

+36 =+36

4 4

Quiz Multi-Step Equations

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-48=4(x-8)

3(x-4)=33

-5(x-20)=200

Answers

-48=4(x-8)

-48=4x-48

+48 +48

0=4x

X= Undefined

4 4

3(x-4)=33

3x-12=33

+12+12

3x= 45

3 3

X= 15

-5(x-20)=200

-5x+100=200

-100 -100

-5x=100

-5 -5

X= -20

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Review

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X-11=7

2(x-35)=60

4x+3=45

LABLE AND ANSWER:

Answers

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X-11=7

One Step Equation

+11+11

X=18

Two Step Equation

4x+3=45 -3 -3

4x=42

4 4

X=21/2 or 10.5

Multi Step Equation

2(x-35)=60

2x-70=60

+70+70

2x=130

2 2

X=65

Graphing

Slope Intercept Form

Y=mx+b

Standard Form

Ax+by=c

How to graph:

Solve for y by replacing x with zero

Coordinate: (0,y) ex. (0,5)

Place coordinate on graph and use the slope M to find second point

If slope is positive go up how ever many spaces and to the right

If negative go down however many space and then to the left depending on what the number is for the denominator

Writing and Graphing

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Y=3x+1

Y=3(0)+1

Y=1

M=3/1

B= 1

One Step Equations

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x+5>12-5 -5

X>7

Quiz One Step Inequalities

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x-3<45

Answer

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+3 +3

x<48

x-3<45

Two Step Inequalities

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2x+4>7 8x-16<24

-4 -4

2x>3

2 2

x>3 /2

+16 +16

8x<40

x<5

8 8

Quiz Two Step Inequalities

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8x-16<24

Answer

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8x-16<24

+16 +16

x<5

8 8

8x<40

Multistep Inequalities

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6(-x+9)<13

-6x+54<13

-54 -54

-6x<-41

-6 -6

X>41/6 or 6.8

When dividing by a negative with Inequalities ALWAYS switch signs!

Quiz Multistep Inequalities

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7(x+4)>5x-12 -2(x+3)<10

Answer

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7x+28>5x-12 -2(x+3)<10

-5x -5x

2x+28>-12

-28 -28

2x>-40

2 2

X>-20

-2x+6<10-6 -6

-2x<4

-2 -2

X>-2

Review

Label and answer:

24-x>56

7(x-8)<562(x-4)>14

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Answer

7(x-8)<5624-X>56

-24 -24

-X>32

-1 -1

X<-32

7x-56<56

+56 +56

7x<112

7 7

X<16

Two Step One Step Multi Step

2(x-4)>14

2x-8>14

+8 +8

2x>22

2 2

X>11

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Signs And Meanings

> <

> <

Greater Than Less Than

Greater Than or Equal To Less Than or Equal To

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STUDY HARD!!! ANY QUESTIONS?

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