Multi-Step Equations

One-Step Equations

100

8m = 24

What is m?

8m = 24

m = 3

200

 11 + r = 29

What is r?

r + 11 = 29

r = 18

300

7h = 21

What is the value of h?

7h = 21

h = 3

400

a/9 =-3

What is the value of a?

a/9 = -3

a = -27

500

x - 4.3 = 5.7

What is the value of x?

x - 4.3 = 5.7

x = 10

Literal Equations

100

d=rt for r 

r= d/t

200

R=CS/D for C

C= RD/S

300

P=a+b+c for b

b=P-a-c

400

I=prt for r

r=I/pt

500

ax+b=c for a

a=c-b/x

Multi-Step Equations

100

8b + 3b = 22

What is b?

8b + 3b = 22

11b = 22

b = 2

200

19x -5 - 24x = 10

What is the value of x?

19x - 24x -5 = 10

19x -24x = 15

-5x = 15

x = -3

300

2a + 5(a - 4) = 8

What is the value of a?

2a + 5(a - 4) = 8

2a + 5a -20 = 8

7a - 20 = 8

7a = 28

a = 4

400

6(2y + 6) = 72

What is the value of y?

6(2y + 6) =  72

12y + 36 = 72

12y = 36

y=3

500

-6(m + 1) + 18 = 24

What is the value of m?

-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)

What is r?

64 = 8(r + 2)

64 = 8r + 16

48 = 8r

r = 6

200

7(f - 1) = 49

What is f?

7(f - 1) = 49

7f -7 = 49

7f = 56

f = 8

300

5(d - 2) = 40

What is d?

5(d - 2) = 40

5d -10 = 40

5d = 50

d = 10

400

68 = 5(2x + 5) + 3

What is x?

x = 4

500

9(y - 4) = 45 

What is y?

9(y - 4) = 45

9y - 36 = 45

9y = 81

y = 9

2-Step Equations

100

2x + 3 =19

x = 8

200

-3k - 1 = -13

k = 4

300

-5m - 2 = -47

m = 9

400

-7b - 9 = 12

b= -3

500

0.5h - 7 = -9.5

h = -5