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Solving Equations

SolvingInequalities

CompoundInequalities

Absolute Value

WordProblems

Solve the following equation

5 – 2x = 3x + 5

What is

x = 0

Solve the following equation

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

What is…

x = 7

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

Solve the following inequality and state the solution set

-43 – 2x > -3

What is…

{x : x < -20}

Solve the following inequality and state the solution set

-12x + 8 > 3(-9x + 1)

What is…

{x : x > -1/3}

Solve the following inequality and state the solution set

-2(x + 4) + 8x > 6x - 4

What is…

{ } or No solution

Solve the following inequality and state the solution set

-12 < 3 x – 18

5

What is…

{ x : x > 10 }

Create your own inequality where the answer is x is an

element of all Real Numbers

Answers vary…

Write the solution sets of the two graphs provided below.

What is…

{ x : 2 < x < 4 }

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

Write the final solution set for the following compound

inequality

x – 1 > 7 OR 13 > 1 - x

What is…

x >-12

Write the final solution set for the following compound

inequality

5x – 1 < 6x + 4 < 9x + 4

What is…

{ x : x > 0 }

Write the final solution set for the following compound

inequality

15 – 7x < -6 OR 6x – 3 < -6

What is…

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

Write the final solution set for the following compound inequality

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

What is…

{ x : 4/13 < x < 3 }

Solve the following equation

3x + 5 - 4 = 22

What is…

x = -31/3 or x = 7

Solve the following inequality

2x – 7 - 2 > 11

What is…

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

Solve the following equation...

3x - 8 = -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

Write an inequality for the values of x and state 2 values that x can be.

5m

x

Area > 45 m2

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