Writing 2 Step Equations

Joe earns $25 per yard he mows in the summer.  If he also makes a one time amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.  

• 25y - 100 = 3,100
• 3,100 - 100 = 25y
• 25y + 100 = 3,100
• 100y + 25 = 3,100

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents the number of tickets (t) that can be purchased if Penelope plans to spend $35.

• .50t + 20 = 35
• .50t = 35
• .50 + 20t = 35 
• .50t +35 = 20

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents the number of hours (h) of lessons Kasey took if the total cost was $39.

• 11 + 6h = 39
• 11h - 6 = 39
• 11h + 6 = 39
• 66h = 39

Ms. Jacobs is a photographer .  For each job she charges $135 for the first hour she works and $100 for each additional hour.  Ms. Jacobs charged $535 for a job she completed.  Write an equation that can be used to determine the number of hours (h) she spent on the job.

• 135x + 100 = 535
• 100x - 135 = 535
• 100x + 135 = 535
• 135x - 100 = 535

 A computer printer can print 10 pages per minute. There were already 35 pages in the tray.  The total pages printed was 115 pages.  Write an equation to represent the number of pages the printer can print in m minutes. 

• 10m + 35 = 115
• 10m - 35 = 115
• 115m + 35 = 10
• 35m + 10 = 115

An electrician charges $90 per hour along with a $60 traveling fee.  If your bill was $600, write an equation that can be used to determine how many hours (h) it took the electrician to complete the job.

• 60 - 90h=600
• 90h + 60 = 600
• 60h + 90 = 600
• 60h - 600 = 90

Choose all of the equations that are two step equations.

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

• 12 + 14x = 50

• 12x + 14 = 50

• 50 - 14 - 12 = x

• 50x + 12 = 14

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

• c = 3.00 - 0.15m
• c = 0.15 + 3.00m
• 3.00 = c + 0.15
• c = 3.00 + 0.15m

Write an equation for the following:

Twice a number plus 6 is -72

• 2 + 6x =- 72

• 2x + 6 = -72

• 2 + 6 = x

• 2x² + 6 = 72