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.HSF-BF.A.1A

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.7.EE.B.4A

After addressing 75 envelopes, a political volunteer has fewer than 26 envelopes left to address.  Which inequality can be used to find the total number of envelopes (e)?

• 75 - e < 26
• e - 75 < 26
• 75 - e > 26
• e - 75 > 26

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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

Pine Bluff Middle School is having its annual Spring Fling dance, and must spend less than $400. The student treasurer reported that the dance fund has $75 left over from last year. Each ticket to the dance costs $4. Let t represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance.

• 75 - 4t < 400
• 75 + t + 4 > 400
• 75 + 4t < 400
• 75 + 4t > 400

Tags

CCSS.7.EE.B.4B

Pine Bluff Middle School is having its annual Spring Fling dance, and must spend less than $400. The student treasurer reported that the dance fund has $75 left over from last year. Each ticket to the dance costs $4. Let t represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance.

• 75 - 4t < 400
• 75 + t + 4 > 400
• 75 + 4t < 400
• 75 + 4t > 400

Tags

CCSS.7.EE.B.4B

More than 455 students went on a field trip. Ten buses were filled and 5 students rode in a car. Write and solve an inequality to represent how many students could have ridden on each bus. 

• x > 30
• x > 45
• x < 45
• x < 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

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

A donut shop charges $0.70 for each donut and $0.30 for a carryout box.  Shirley has $5.00 to spend.  She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box.  Which equation can be used to answer this problem?

• 70x + 30 < 500
• 30x + 70 < 500
• 70x + 30 ≤500
• 30x + 70 ≤ 500

Tags

CCSS.7.EE.B.4B