Solving Equations (Mixed Review)

Variables on One Side

100

3k + 8 = 32

k = 8

200

5y - 6 = -8

y= -2/5

300

1/2 x -5 = 1

x = 12

400

x-7+2x=5

x = 4

500

2(x+5)-5x = 14

x=-4/3

Variables on Both Sides

100

2x+4 = x-9

x = -13

200

x+10=-3x+2

x= -2

300

x+5-2x=-x+5

x = All real numbers

400

-y+5 = y-10-2y

No solution

500

2y-5+y-2=3y-8+1

Infinite solutions

Variables on Both Sides (Distributive Property)

100

3(x-2) = 5x+4

x= -5

200

-2(x+2) = -2x+4

No solution

300

-3(x-1) = 5x+27-2x

x = -4

400

1/3 (3x+9) = 4x-5

x = 8/3

500

1/5(5x-15) = 1/6(6x-18)

x = All real numbers

Equations with Fractions

100

-1/2 + 1/5 x = 1

x=15/2 or 7.5

200

-1/4 x + 1/6 = 5/12

g= -1

300

1/6 + 1/4 x = 2/3

x = 2

400

5/6 x - 1/4 = 3/8

x = 3/4 or .75

500

11/12 x - 1/6 = 3 1/2

x = 4