Solving Equations and Inequalities

Solving Linear Equations

100

-2z - 2=26

z= -14

200

300= 4t + 20

t=70

300

1/5(x + 15)= 32

x=145

400

0.1r - 1= 0.65

r=16.5

500

8m - 4 - 10m - 36 = 0

m = -20

Solving Equations w/Variables on Both Side

100

5x - 4 = 4x

x = 4

200

36 - 2x = 7x

x= 4

300

4(x + 9)= x + 9

x= -9

400

6y - 8= 2(3y - 4)

Identity 

500

5(5t + 1)= 25t -7

No solutions

Literal Equations and Formulas

100

2x +3y =12 ; y

y= 4 - 2/3y

200

dfg = h ; f

f= h / (dg)

300

v = bx - p ; x

x=(v + p) / b

400

y = rx - h ; h

h= -y +rx

500

F = - (Gm) / r² ; G

G= -(Fr²) / m

Inequalities w/One Variable

100

Solve and Graph

4(3 - 2x)  ≥ -4

x ≤ 2

200

Solve and Graph

2x + 12 > 2(x + 6)

No Solutions

300

Solve and Graph

-2x -5 ≥ 3x - 35

x ≤ 4 

400

Solve and Graph

2(7x + 5) > 9x + 6 + 5x

Infinite Solutions (Identity) 

500

Solve and Graph

(1/4)x > (1/2)

x > 2

Compound Inequalities

100

Model

x < 1 or x ≥ 5

200

Solve and Graph 

7x - 1 ≤ 6 or 4(x - 8) > 12

x ≤ 1 or x > 11

300

Solve and Graph 

2x - 5 > 3 and -4x + 7< -25

x > 4 and x > 8

400

Solve and Graph

2(4x + 3) ≥ -10 or -5x - 15 > 5

x ≥ -2 or x < -4

500

Solve and Graph

-7 ≤ 3x + 5 < 8

-4 ≤ x < 1