Multi-Step Equations

One-Step Equations

100

8m = 24

8m = 24

m = 3

200

 11 + r = 29

r + 11 = 29

r = 18

300

7h = 21

7h = 21

h = 3

400

a/9 =-3

a/9 = -3

a = -27

500

x - 4.3 = 5.7

x - 4.3 = 5.7

x = 10

Multi-Step Equations

100

-3m - 2m = 0

-3m - 2m = 0

-5m = 0

m = 0

200

-10p + 9p = 12

-10p + 9p = 12

-1p = 12

p = -12

300

-3a + 12 -6a = -9

-3a + 11 -7a = -9

-10a + 11 = -9

-10a = -20 

a = 2

400

(a + 3)/6 = -2

(a + 3)/6 = -2

a + 3 = -12

a = -15

500

9t - 6 - 6t = 6

9t - 6 - 6t = 6

3t - 6 = 6

3t = 12

t = 4

Multi-Step Equations

100

8b + 3b = 22

8b + 3b = 22

11b = 22

b = 2

200

19x -5 - 24x = 10

19x - 24x -5 = 10

19x -24x = 15

-5x = 15

x = -3

300

2a + 5(a - 4) = 8

2a + 5(a - 4) = 8

2a + 5a -20 = 8

7a - 20 = 8

7a = 28

a = 4

400

6(2y + 6) - 4y - 5= 25

6(2y - 6) - 4y + 5= 25

12y - 36 - 4y + 5 = 25

8y - 31 = 25

8y= 56

y=7

500

-6(m + 1) + 18 = 24

-6(m + 1) + 18 = 24

-6m -6 + 18 = 24

-6m + 12 = 24

-6m = 12

m = -2

Distribution Multi-Step Equations

100

64 = 8(r + 2)

64 = 8(r + 2)

64 = 8r + 16

48 = 8r

r = 6

200

7(f - 1) = 49

7(f - 1) = 49

7f -7 = 49

7f = 56

f = 8

300

5(d - 2) = 40

5(d - 2) = 40

5d -10 = 40

5d = 50

d = 10

400

68 = 1/5(20x + 50) +2

68 = 1/5(20x + 50) +2

66 = 1/5(20x + 50)

66 = 4x + 10

56 = 4x

x = 14

500

9(y - 4) - 7y = 5(3y - 2)

9(y - 4) - 7y = 5(3y - 2)

9y - 36 -7y = 15y - 10

2y -36 = 15y -10

2y - 26 =15y

-26 = 13y

y = -2