Writing Linear Equations from Word Problems

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

Tags

CCSS.6.EE.C.9

Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 3h + 0.90d = S
• S = 90d + 3h
• S = 3d + 90h
• S = 3h + 9.0d

Tags

CCSS.6.EE.C.9

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 15 + 0.20x
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

Tags

CCSS.HSF-BF.A.1A

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

The world's two highest dams are both in Tajikistan. The Rogun Dam is 35 meters taller than the Nurek Dam. Together they are 635 meters tall. Which equation can be used to determine the height of Nurek Dam?

• 35x + 2 = 635

• 2x - 35 = 635

• 2x + 35 = 635

• x + 35 = 635

Tags

CCSS.HSA.CED.A.3

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What information is given and what equation should you use?

• A slope and a y - intercept is given; use y = mx + b.

• A slope and a y - intercept is given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; Ax + By = C

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Mr. Leesch goes to the comic book store and purchases issues of Justice League and X - Men. Justice league comics are priced at $4.99 each, and X - Men comics are priced at $3.99 each. He spent $36.92. What information is given and which equation should you use?

• A slope and y - intercept are given; use y = mx + b.

• A slope and y - intercept are given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C

Tags

CCSS.8.EE.C.8C

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

• 3(x + 5) = 17

• 3x + 5 = 17

• 5(x + 3) = 17

• 5x + 3 = 17

Tags

CCSS.HSA.CED.A.3

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.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.7.EE.B.4A