Writing Equations for Linear 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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

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.HSA.CED.A.2

CCSS.HSA.SSE.A.1

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)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

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.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Gracie wants to increase the size of her garden.  If A = lw represents the current area of her garden, what is an equation that can be used to represent the resulting are of Gracie's garden if she increases the length by 5 and doubles the width?

• A = 10lw
• A = 2wl + 10w
• A = 2w (l - 5)
• A = 10wl + 2w

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

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.HSA.CED.A.2

CCSS.HSA.SSE.A.1

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.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

To satisfy local building codes, a rectangular lot must have a perimeter of at least 500 feet before a building can be constructed on it.  If L represents the length (in feet) of the lot and W represents its width (in feet), which inequality represents this situation?

• 2L + 2W ≤ 500
• 2L + 2W < 500
• 2(L + W) ≥ 500
• L + W ≥ 500

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3