Two Step Equations

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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

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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

2v + 7 = 3

• v = 3

• v = 2

• v = -2

• v = -1

−6t − 7 = 17

• t = -4

• t = 6

• t = -6

• t = 4

17 = 5k − 2

• k = -4

10.35 + 2.3h = −9.2

• h = -8.5

• h = -9

• h = 9

• h = 8.5