Solving multi-step word problems

A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the SAME amount?

• 25h + 35 = 40h

• 40h = 35h + 25

• 40h - 35h = 25

• 25 + 40h = 35h

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Mike's Fitness Center charges $30 per month for a membership. All-Day Fitness Club charges $22 per month plus and $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the SAME?

• 30t = 22t - 80

• 22t + 30t = 80

• 30t = 22t + 80

• 30t/20t = 80

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the SAME for the two companies?

• 14 + 2x = 20 + 1.5x

• 14 + 1.5x = 20 + 2x

• 1.5x - 14 = 2x + 10

• 14x + 2 = 20x + 1.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Deanna and Lisa are playing games at the arcade. Deanna started with $15 and the machine she is playing costs $0.75 per game. Lisa started with $13 and her machine costs $0.50 per game. After how many games will the two girls have the same amount of money remaining?

• 15 + 0.75g = 13 + 0.5g

• 15/0.75g = 13/0.5g

• 15 - 0.75g = 13 - 0.5g

• 0.75g - 15 = 0.5g - 13

Tags

CCSS.8.EE.C.8C

The Wayside Hotel charges its guests $1 plus $0.80 per minute for long distance calls. Across the street, the Blue Sky Hotel charges its guests $2 plus $0.75 per minute for long distance calls. Find the length of a call for which the two hotels charge the SAME amount.

• 1m + 0.8 = 2m + 0.75

• 2 + 0.75m = 1 + 0.80m

• 2 - 0.75m = 1 - 0.80m

• 0.8m/1 = 0.75m/2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Duke is a part-time student at Kutztown University. He currently has 22 credits and he plans to take 6 credits per semester until he is finished. Duke's friend Kyle is also a student at college. He has 4 credits and plans to take 12 credits per semester. After how many semesters will Duke and Kyle have the SAME number of credits?

• 22c + 6c = 4c + 12c

• 22 - 6c = 12c + 4

• 6 - 22c = 4 + 12c

• 6c + 22 = 12c + 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3