Algebra is the Name of the Game

Solve this

100

(-3/4)x = 24

x =-32

200

8 -2x = 10

x = -1

300

2x-4 =   

 -2x + 16

x = 5

400

| x - 3| = 7   ; give both answers

x = 10 , or x = -4

500

3(12x-6)=     

6(2x+9)

x = 3

All or Nothing (or zero)

100

solve:   

x = x-3

no solution

200

solve: 

3(2x+4) = 2(3x+6)

X can be any real number

300

|x + 4| = -4

No Solution

400

8x-16=7x-16

x = 0

500

2|x+4|+5 = 2

No Solution

Literally...Absolutely

100

Solve for x:

y = mx+b

x =       y - b  

              m

200

Solve for y:    

3x + 5y = 45

y = 9 -  (3x/5)      or    y = 9 - (3x)/5

300

|2x-6|= 4x

give both solutions

x = -3   is an extraneous solution

x = 1 is the only actual solution

400

Solve the Inequality:  

|2x+5| - 10 < 35

-25<x<20

500

Solve:   

|3x-6| > -4

X can be any real number

Inequalities..the basics

100

Solve:     

 3x-9> 36

x > 15

200

-x/4 < 12

x > -48

300

5 - (x/3) < 13

x>-24

400

3x-8 > 3(x-8)

All real numbers

500

A number is no less than 8.  

Write this inequality

x> 8

Compound Inequalities

100

Solve:   3x< -15  or    x+2> 0 

x < -5 or x > -2

200

-1 < 2x-7<9

3<x<8

300

A number is at least 5 but no more than 20.  Write this compound inequality

5<x<20

400

x < | 34|

-34<x<34

500

4|2x-6| > 12

x <1.5  or x>4.5