Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Variables on Both Sides

100

j= 20 – 4j

j=4

200

9m – 28 =2m

m=4

300

32 – 5v = 3v + 8

v=2

400

–12y – 10 = –6y + 14

y= –4

500

20- 1/5d = 3/10d + 16

d= 8

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

Word Problems

100

An electrician charges $30 to come to your house. He also charges $18 for each hour he spends at your house. The electrician charges you a total of $84. How many hours did he spend at your house?

3 hours

200

A taxi charges $1.50 plus a fee of $0.60 for each mile traveled. If a ride costs $5.40, how many miles was the ride?

6.5 miles

300

Joel has twice as many CDs as Mariella has. Subtracting 7 from the number of CDs Joel has and dividing by 3 equals the number of CDs Blake has. If Blake has 25 CDs, how many CDs does Mariella have?

41 CDs

400

A golf course charges nonmembers $48 per round plus a golf cart rental fee of $24 per round. A member pays a monthly fee of $384 plus a golf cart rental fee of $8 per round. How many rounds would both a member and a nonmember have to play in order to pay the same amount?

6 rounds

500

Members of the Lake Shawnee Club pay $40 per summer season plus $7.50 each time they rent a boat. Nonmembers pay $12.50 each time they rent a boat. How many times would both a member and a nonmember have to rent a boat in order to pay the same amount?

8 rentals