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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

Solving

Equations

Solving

Inequalities

Compound

Inequalities

Absolute

Value

Word

Problems

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What is

x = 0

Solve the following equation

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

Solve the following equation

¾(4x – 16) = 3x - 12

What is…

x is an element of ALL REALS

Solve the following equation

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

What is…

x = -14

Solve the following equation

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

What is…

x = 18/7

What is…

{x : x < -20}

What is…

{x : x > -1/3}

What is…

{ } or No solution

What is…

{ x : x > 10 }

What is…

{ x : 2 < x <4 }

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

x – 1 > 7 OR 13 > 1 - x

5x – 1 < 6x + 4 < 9x + 4

What is…

{ x : x > 0 }

15 – 7x < -6 OR 6x – 3 < -6

What is…

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

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

What is…

{ x : 4/13 <x < 3 }

What is…

x = -31/3 or x = 7

What is…

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

What is…

NO SOLUTION

Solve the following inequality

3 8 – 5x + 6x < -9

What is…

NO SOLUTION

Solve the following inequality

5/6 2x – 1 + 5x – 5 > -5x + 20

What is…

{ x : x > 31/14 }

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.

What is…

17 months

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.

What is…

45 < x < 65

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.

What is…

p – 15.50 < 3.00

5m

Area > 45 m2

x

What is…

x > 9 m

Values vary…

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.

What is…

50 < x < 70

40 < x < 60