Linear Equations and Inequalities

Translating

100

the sum of a number and 3 is 5

x+3=5

200

the quotient of a number and 5

x/5

300

three times the sume of a number and 5

3(x+5)

400

Nine times m is equal to four times the sum of n and p.

9m = 4(n+p)

500

Four times the difference between x and y is 4 more than z

4(x-y) = z+4

Solving Linear Equations

100

3x+2 = 1

x = -1/3

200

4x-5=3

x = 2

300

4x-6=2x+3

x = 9/2

400

2(5x-8)=10

x = 26/10 = 13/5

500

-3(3x+4)=11

x = -23/9

Absolute Value

100

|x| = 5

x = 5 and -5

200

|x-8|=1

x = 7 and 9

300

2|x-8|=10

x = 3 and 13

400

 5|3x+4|+2=12

x = -2 and -2/3

500

|x+3|=-5

No solution

Inequalities

100

3x+1<4

x < 1

200

-3x+1<4    

x > -1

300

(x/-3)+1>4

x < -9

400

7x+9<44

x<5

500

(x/-4)-5 > -3

x < -8

Solving for a Variable

100

Solve for b:

A = bh

b = A/h

200

Solve for b:

3b-2a=7

b = (2a+7)/3

300

Solve for b: 

5a+3b=9c

b = (-5a+9c)/3

400

Solve for b:

3c+ab=6

b = (-3c+6)/a

500

Solve for b:

4x-2ab=9

b = (-4x +9)/ -2a