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Solving Equations. Solving Inequalities. Compound Inequalities. Absolute Value. Word Problems. 1pt. 1 pt. 1 pt. 1pt. 1 pt. 2 pt. 2 pt. 2pt. 2pt. 2 pt. 3 pt. 3 pt. 3 pt. 3 pt. 3 pt. 4 pt. 4 pt. 4pt. 4 pt. 4pt. 5pt. 5 pt. 5 pt. 5 pt. 5 pt.

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Presentation Transcript
slide1

Solving

Equations

Solving

Inequalities

Compound

Inequalities

Absolute

Value

Word

Problems

1pt

1 pt

1 pt

1pt

1 pt

2 pt

2 pt

2pt

2pt

2 pt

3 pt

3 pt

3 pt

3 pt

3 pt

4 pt

4 pt

4pt

4 pt

4pt

5pt

5 pt

5 pt

5 pt

5 pt

slide3

What is

x = 0

slide4

Solve the following equation

2/3(3x + 18) = 5x - 9

slide6

Solve the following equation

¾(4x – 16) = 3x - 12

slide7

What is…

x is an element of ALL REALS

slide8

Solve the following equation

14 – 6(3x – 5) – 3 – 2(x + 14) = -6(3x – 1) + 21 - x

slide9

What is…

x = -14

slide10

Solve the following equation

10 – 8(3x + 4) + 6 – 2(2x – 1) + 5x = -20 + 3(4x – 10) – 21x

slide11

What is…

x = 18/7

slide13

What is…

{x : x < -20}

slide15

What is…

{x : x > -1/3}

slide17

What is…

{ } or No solution

slide19

What is…

{ x : x > 10 }

slide23

What is…

{ x : 2 < x <4 }

{x : x < 7 OR , x > 11}

slide26

Write the final solution set for the following compound inequality

5x – 1 < 6x + 4 < 9x + 4

slide27

What is…

{ x : x > 0 }

slide28

Write the final solution set for the following compound inequality

15 – 7x < -6 OR 6x – 3 < -6

slide29

What is…

{ x : x < -1/2 or x > 3 }

slide30

Write the final solution set for the following compound inequality

2 – 3(2x – 1) + x < 8x + 1< 4 – (x – 8) + 16

slide31

What is…

{ x : 4/13 <x < 3 }

slide33

What is…

x = -31/3 or x = 7

slide35

What is…

{ x : x < - 3 OR x > 10}

slide37

What is…

NO SOLUTION

slide38

Solve the following inequality

3 8 – 5x + 6x < -9

slide39

What is…

NO SOLUTION

slide40

Solve the following inequality

5/6 2x – 1 + 5x – 5 > -5x + 20

slide41

What is…

{ x : x > 31/14 }

slide42

A membership to a fitness club has an initiation fee of $90. Each month you are billed an additional $30. Solve an inequality to find the maximum amount of time you can be a member for $600.

slide43

What is…

17 months

slide44

On Pennsylvania’s interstate highway the speed limit is 65 mph. The minimum speed is 45mph. Write a compound inequality that represents the speeds at which you may legally drive.

slide45

What is…

45 < x < 65

slide46

The average price for a music CD is $15.50. Depending on where you shop, the price may vary by as much as $3.00. Write an absolute value inequality describing the possible prices of music CDs.

slide47

What is…

p – 15.50 < 3.00

slide49

What is…

x > 9 m

Values vary…

slide50

You have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write an inequality that describes the possible retail value of the items you can buy using the coupon. Write an inequality that describes the different amounts of money you can spend if you use the coupon.

slide51

What is…

50 < x < 70

40 < x < 60