Writing System of Linear Equations

Which expression would best represent the following word problem:

In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend.

• 100 + 5c

• 100c + 5

• 100 + 5

• 5c

Which equation would best represent the word problem:

Suppose that a bike rents for $4 plus $2 per hour. If someone spent a total of $16, how many hours did they rent the bike for?

• 16 + 4h = 2

• 4h + 2 = 16

• 4 + 2h = 16

• 2h = 16

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

Which situation can be represented by

y = 12x + 4 ?

• The number of people, y, arriving at party, if there are 12 cars with 4 people in each car

• The cost, y, of buying x movie tickets that sell for $12 each, plus $4 for popcorn

• The cost, y, of buying 12 candy bars that sell for $ 4 each.

• The number of cookies, y, if there are 12 cookies per box and you ate 4

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 2.75 represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 12.5x + 30

• y = 12.5 + 30

• y = 12.5 + 30x

• y = 12.5x + 30x

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

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 25x + 40

• y = 40x + 25

• y = 25x

• y = 25x - 40

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99
• c + s = 99
  14c + 17s = 6
• c + s = 6
  17c + 14s = 99
• c + s = 99
  17c + 14s = 6

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

• x + y = 561
  45x+52y=12
• x + y = 12
  52x+45y=561
• x + y = 12
  45x+52y=561
• x + y = 561
  52x+45y=12