One Step & Two Step Equations! Solve for x! :)

Write and Solve Equations

100

You earn $15 per hour at your job. You have to pay pay $5 in parking. Write an equation for the number of hours you would have to work to take home $100 in a day.

15h - 5 = 100 

200

A video rental store rents a movie at $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?  (HINT: Be sure to include night 1!)

1.50n + 2.95 = 8.95 

n= 4 additional night. 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?

30h + 50 = 170 

h= 4 hours

400

A veterinarian charges $60 to make a visit to a farm in the same town.  She charges an an additional $2 per mile to travel outside of that town.  A farm is located 12 miles outside of the town.  How much will the vet charge for the farm visit?

c= 60 + 2(12)

c= $84

500

Emma and her 3 roommates ordered food from their favorite Chinese restaurant and had it delivered. The roommates decided to split the cost of the food evenly between them. Emma’s out of pocket cost was $7.80 which included a $2 tip she gave the driver. Which equation could solved to give the total cost c of the Chinese food?

C/4 + 2 = $7.80

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

2n = 34

n= 17

500

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?

38 + 0.30m = 74 m= 120

Two Step Equations

100

−2 = 2 + v/4

v= 16

200

−6 = n/2 − 10

n= 8

300

(v + 9)/3 = 8

v= 15

400

−6 + x/4 = −5

x= 4

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?

1,000 + 30w = 2,800 w = 60

Simplify Expressions

100

Combine Like Terms: 

8x + 3x -2

 11x -2 

200

3x + 4y - 2x +y 

x + 5y

300

Simplify: 

2 (4x + 5y - 3)

8x + 10y - 6

400

Simplify: 

3b - 2(4b + 5)

-5b - 10  

or -5b + -10

500

Simplify: 

4a + 3(2a - b) +1

10a - 3b +1