Real Life Linear Equations

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

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

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

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

Each month Chuck’s phone company charges a flat fee of $12 plus $0.05 per minute. Louie’s phone company charges him a flat fee of $6 plus $.85 per minute. How many minutes would the boys have to talk for their phone bill to be the same?

• 7 minutes

• 7 minutes and 30 seconds

• 8 minutes

• 8 minutes and 30 seconds

Tags

CCSS.8.EE.C.8C

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 

• 35x = y 

• 15x + 20y = 150 

• 150 - 20x = 15y 

Tags

CCSS.HSA.CED.A.3

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each box of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time?

• 50x + 160 = 1000

• 50 + 160x = 1000

• 50x - 160 = 1000

• 50 - 160x = 1000

Mathematical Equivalence

ON

Answer explanation

y = x + 8 | This tree is 8 feet tall and growing 1 foot each year.

y = x/2 + 10 | This tree is 10 feet tall and growing 1/2 foot each year.

Substitute x + 8 for y in 2nd equation

x + 8 = x/2 + 10

x - x/2 + 8 -8 = x/2 - x/2 + 10 -8

x/2 = 2 | x = 4 years

Tags

CCSS.8.EE.C.8C

If MaryAnn has $35 to spend on printing pictures, and the online print shop charges $0.15 per 4x6 inch print plus a flat rate shipping charge of $3.00, how many prints can she order?

• 213 prints

• 200 prints

• 150 prints

• 100 prints

Tags

CCSS.7.EE.B.4A

Determine the values of x and y that satisfy the equations: 7x - 2y = 5 and 3x + 4y = 11

• x = 4, y = 3

• x = 2, y = 4

• x = 3, y = 2

• x = 5, y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6