Linear Equations Applications Problems

You are doing a fundraiser for school selling cakes and cookies. Cakes are $20 and a dozen cookies are $15. If you have made $310 and sold 10 orders of cookies, how many cakes have you sold? (only type the number in the blank)

Tags

CCSS.7.EE.B.4A

Which of the following equations models the situation: You are doing a fundraiser for school selling cakes and cookies. Cakes are $20 and a dozen cookies are $15. If you have made $310 and sold 10 orders of cookies, how many cakes have you sold?

• y = 20x + 15

• y = 10x + 310

• 20x + 15y

• 10x + 310y

Tags

CCSS.7.EE.B.4A

Which of the following equations models the situation: We are going on a field trip to Atlanta and traveling in small and large buses. A small bus, holds 12 people and a large bus holds 30. If 174 students are going and we have to take two small buses, how many large buses do we need?

• y = 12x + 174

• y = 30x + 12

• 30x + 174y

• 12x + 30y

Which of the following equations models the situation: Tickets to Coachella are $75 in advance and $100 at the gate. Total ticket sales were $7,200 and 36 tickets were sold in advance. How many tickets were sold at the gate?

• y = 75x + 100

• y = 75x + 7,200

• 75x + 100y

• 36x + y

Tags

CCSS.8.EE.C.8C

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

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225

• y = 225x 

• y = 225x + 625

• y =  625

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Tags

CCSS.HSF.LE.B.5

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

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2