One & Two-Step Equations with D.P. & Word Problems

One Step Equations

100

m/16=8

What is 128

200

x − 7 = 13

What is 20

300

m − 9 = −13

What is -4

400

Twice a number is 34.

2n = 34 n= 17

500

The quotient of a number and 5 is equal to -7.

n/5=-7

n= -35

Two Step Equations

100

−9x + 1 = −80

x= 9

200

−15 = −4m + 5

m= 5

300

10 − 6v = −104

v= 19

400

−9x − 13 = −103

x= 10

500

An auto rental agency offers a rate of $38.00 per day plus $0.30 per mile. After a one-day rental, the bill was $74. How many miles were driven? Write and solve an equation.

38 + 0.30m = 74 

120 miles

Two Step Equations

100

5y- 11 = 49

y = 12

200

x/8+4=13

x= 72

300

-8a + 1 = -23

a= 3

400

b/-8+10=4

b = 48

500

The computer club sells 50 more than 3 times the number of pins the chess club sells. The computer club sold a total of 134 pins. How many pins does the chess club sell? Write and solve an equation.

3p + 50 =134 

p= 28 pins

Two Step Equations (distributive property)

100

2(4v+2) = 28

v=3

200

-5(2n − 10) = -30

n= 8

300

3(v + 9) = 6

v= -7

400

2(−6x + 4) = −40

x= 4

500

A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write and solve an equation.

4(x+19) = 752 

x= $169 per ticket

Word Problems

100

You earn $15 per hour at your job. You ride the bus to and from work and each way, you pay $2.50 in bus fare. How many hours do you have to work to take home $100? Write and solve an equation.

15h - 5 = 100 

h= 7 hours

200

A video rental store rents a movie for $2.95 for the first night, plus $1.50 for each additional night. When you return the movie, you pay $8.95. How many nights did you keep the movie? Write and solve an equation.

1.50n + 2.95 = 8.95 

n= 4 additional nights 

5 NIGHTS TOTAL!

300

Your class budgets money from the class treasury for a school dance. Decorations will cost $50. The DJ charges $30 per hour. If your class has a total of $170 to spend on the dance, how many hours can you pay a DJ? Write and solve an equation.

30h + 50 = 170 

h= 4 hours

400

A family of 7 bought tickets to the circus. Each family member also bought a souvenir that cost $6. The total amount they spent was $147. How much did one ticket cost? Write and solve an equation.

7(x+6) = 147 

x=$15

500

You want to go to Africa for a photo safari. You need a total of $2,800. You can get $1,000 from your savings account and you can save $30 per week. How many weeks will it take you to save up for the trip? Write and solve an equation.

1,000 + 30w = 2,800 

w = 60 weeks