Linear Equations

Equations w/variable on one side

100

m + 12 = 10

m = -2

200

-7y = -91

y = 13

300

6x + 8 = 50

x = 7

400

13 = -4k + 9

k = -1

500

^{7 - 3y = 34}

y = -9

Equations w/variable on one side & distributing

100

-3(-4n + 1)=45

n = 4

200

3(2x + 5)=  39

x = 4

300

100 = -4(6x - 1)

x = -4

400

6(1 - 2x)=-66

x = 6

500

-4(1 + 5p)= 136

p = -7

Equations w/variable on one side & fractions

100

6/5k = 12

k = 10

200

-1/2m= -9

m = 18

300

Solve the following for b and leave as an improper fraction.   

¼ (b - 9) =  ⅚

b = 37/3

400

-1/3m + 1 = -7

m = 24

500

11 = c/-5 + 8

c = -15

Equations w/variables on both sides (One Solution, No Solutions and Infinite Solutions)

100

a + 3 = 2a + 8

a=-5 One Solution

200

12 - 5k = 4 - 7k

k=-4 One Solution

300

12a - 11 = 12a - 11

0=0 Infinite Solutions

400

5 + x = x + 3

0=-2 OR 2=0 No Solutions

500

17 + 8c = -8c + 17

0 = 0 Infinite Solutions