Linear Equations word problems

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.HSF.LE.A.2

CCSS.8.F.B.4

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

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5
• y = 5x +20

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

Evan is going to the 50th state fair this weekend. It costs $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go on.

What does the variable "y" represent?

• the number of rides he goes on

• the total cost of going to the fair

Tags

CCSS.HSF.LE.B.5

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

• $100

• 4.50

• $112.50

• $65.00

• $123.45

Tags

CCSS.8.EE.C.7B

Amy wants to buy soda AND pizza for her Halloween party. She has $45 to spend. One case of soda costs $4, and one pizza costs $8. Write an equation that could be used to find a valid combination for many pizzas and cases of soda can she afford.

• 4x + 8y = 12

• 4x - 8y = 45

• 12xy = 45

• 4x + 8y = 45

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

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

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Write two point-slope form equations for the problem.

• y - 0 = 2(x - 10)

  y - 5 = 2(x - 20)

• y - 0 = 5(x - 10)

  y - 5 = 5(x- 20)

• y - 10 = 2(x - 0)

  y - 20 = 2(x -5)

• y - 10 = 6(x - 0)

  y - 20 = 6(x - 5)

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

Violet has an Internet business selling paint sets.  After an initial website fee each week, she makes a profit of $0.75 on each set she sells.  If she sells 8 sets and she makes $2.25; write an equation in point-slope form representing her weekly possible earnings.

• y - 2.25 = 0.75(x - 8)
• y - 8 = 0.75(x - 2.25)
• y - 8 = 2.25(x - 0.75)
• y - 0.75 = 2.25(x - 8)

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1