Linear Equations Real World Problems

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales. Which system best represents the situation?

• 4m + 7r = 578

  m + r = 3365

• 4m + 7r = 3365

  m + r = 578

• 4m + 7r = 578

  m + r = 3365

• 4r + 7m= 3365

  m + r = 578

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

• x - y = -10
  x + y = -2

• x = -2 
  y = 5

• x + y = -2
  x - y = -10

• x + y = -10
  x - y = -2

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80

• d + n = 80
  d + n = 6.60

• d + n = 80
  .10d + .05n = 6.60

• d + n = 80
  .05d + .10n = 6.60

A plumber charges $85 per hour. He also charges $75 for a service call.  Write a linear equation to model this situation if x represents the number of hours the plumber works

• y=75+85x

• y =75x+85

• y =75x-85

• y=85-75x

Which equation matches Uber?

• t=8.50m+1.75

• t=8.50+1.75m

• t=1.75+8.50m

• t=9.75m

A plumber charges $25 for a service call. He then charges $100 per hour.  Write a linear equation to model this situation if x represents the number of hours the plumber works

• y = 100x

• y = 25x

• y = 100+25x

• y = 25+100x

A plumber charges $80 for a service call. He then charges $160 per hour.  Write a linear equation to model this situation if x represents the number of hours the plumber works

• y=80x+160

• y =160-80x

• y = 160+80x

• y=80+160x

A plumber charges $120 for a service call. He also charges $70 per hour for labor.

How many hours did the plumber work if the total bill was $540.00?

A pizza delivery service use the equation:

t=5+10p to calculate their total cost

They charge a delivery fee and a price per pizza

What does the 10 represent?

• Price per pizza

• Total cost including delivery fee and pizza cost

• Delivery Fee