Writing and Solving a Linear Equations from Word Problems

Amelia has $100 in her savings account and plans on solving $20 per week. Write an equation to represent this situation.

• y = 100x

• y = 20x

• y = 20x + 100

• y = 100x + 20

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Andrei plans to walk 12 miles every week. Write an equation to represent this situation.

• y = 12x

• y = 12x + 12

• y = 10x + 2

• y = 2x + 10

Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.

• y = 10x + 5

• y = 20x

• y = 15x + 5

• y = 5x + 15

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

The equation y = 120x + 250 represents the cost for renting an event hall where x represents the number of hours a customer rents the hall and y represents the total cost. If Alan wants to rent the hall for 3 hours, what will be his final cost?

• $610.00

• $870.00

• $1,110.00

• $360.00

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

The equation y = 120x + 250 represents the cost for renting an event hall where x represents the number of hours a customer rents the hall and y represents the total cost. If Alan paid $790.00, how many hours did he rent the hall?

• 4 hours

• 4.5 hours

• 5 hours

• 5.5 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

The equation y = 2.50x + 225 represents the purchase of posters for a fundraiser where x represents the number of posters ordered and y represents the total cost. If Nick wanted to order 400 posters, what would be the total cost?

• $625.00

• $750.00

• $1000.00

• $1225.00

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

The equation y = 2.50x + 225 represents the purchase of posters for a fundraiser where x represents the number of posters ordered and y represents the total cost. If Nick paid $1100.00 for the poster, how many posters did he order?

• 300

• 325

• 350

• 375