Solutions for Linear Word Problems

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)

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.8.F.B.4

CCSS.HSF.LE.A.2

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.HSF-BF.A.1A

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

Lisa went to the mall to do her back-to-school shopping.  When she returned, she noticed that the number of shirts (s) she purchased was 3 more than twice the number of pants (p) she bought.  What is an equation that can be used to represent the number of shirts Lisa purchased? 

• p=3 + 2s

• s + 2p =3

• s = 3 + 2p

• 2p = s + 3

Tags

CCSS.6.EE.C.9

Norb is a waiter in a diner.  He earns $4 per hour plus 95% of his tips.  Which equation can be used to determine his salary, S, if he works t hours and earn d dollars in tips?

• S = 4t + 0.95d

• S = 95t + 4d

• S = 0.4t + 9.5d

• S = 4t + 9.5d

Tags

CCSS.6.EE.C.9

A rental company at Best Bargain Rental costs $150 a week, plus $0.10 per mile.  Which equation represents the relationship between the number of miles (x) and the total cost in dollars (y) for a 2- week period?

• y = 2(150)(0.10x)

• y = 2(150) + 0.10x

• y = 150 + 2(0.10x)

• y = 2(150 + 0.10x)

Tags

CCSS.6.EE.C.9

Ken has $264 in his bank account.  He needs to deposit enough money to make his car payment of $189 and still have at least $150 left in his account.  Which inequality describes d, the amount of money Ken needs to deposit?

• 264 + 189 + d ≥150

• d(264 - 189) ≥ 150

• 264 - 189 + d ≥ 150

• d - 189 ≥150

Kristie is booking a reception hall for her wedding.  She is told it will cost $35 per person, plus an additional 15% of her total bill to pay the waitress working at the reception.  If she has $10,000 to spend on the reception, what is an inequality that can be used to represent how many guest (g) she can invite?

• 35g + 0.15(35g) ≥ 10,000

• 35g + 0.15 ≤ 10,000

• 35 + 0.15g ≤10,000

• 35g + 0.15(35g) ≤ 10,000

Tags

CCSS.7.EE.B.4B

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400

• 700 + 125x ≤1,400

• 700x + 125 ≤1,400

• 125x - 700 ≤ 1,400

Tags

CCSS.7.EE.B.4B