Solve Systems of Equations Tables

Ride and Transport are two new ride sharing companies in Colorado. Ride is charging $2 for pick up fees and then $2.50 per mile. Transport is charging only $2.70 per mile. How many miles will it take for both companies to charge the same amount? Write a system of equations to solve.

• 27 miles

• 10 miles

• 270 miles

• 100 miles

You and your brother each decide to open a savings account. You open your account at Elsa’s Banking Branch. Your brother opens his account at Anna’s Banking Company. You put $50 in the bank and your account earns $4 per week in interest. Your brother puts $150 in his account but only earns $2 per week in interest. How many weeks will it take for both your brother and your account to have the same balance? Write a system of linear equations to solve the problem.

• 200 weeks

• 300 weeks

• 50 weeks

• 250 weeks

Macy starts with $20 in her bank account and she saves $5 each week. Robby has $100 in his bank account, and he saves $2.50 each week. After how many weeks will Macy and Robby have the same amount in their accounts and how much money will that be? Write a system of equations to solve.

• 25 weeks; $160

• 32 weeks; $180

• 20 weeks; $120

• 22 weeks; $135

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve by elimination

4x-6y= -6

-2x-12y= -12

• (0,1)

• (1,0)

• (1,1)

• (0, 2)

Write the system of equations from the tables. Hint: find the slope and y-intercept for each table. What is the solution?

• (5, 11)

• (2, 5)

• (-1, 1)

• (11, 5)

Homer sells tickets for admission to the school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21

  6a + 4c = 104

• a + c = 104

  6a + 4c = 21

• a + c = 21

  6c + 4a = 104

• a + c = 104

  6c + 4a = 21

Identify the two equations for the system given in the tables. Select 2 equations.

Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337. Superman rented the same car for 3 days, drove for 350 miles and spent $185. Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.

• 6d + 550m = 337

  3d + 350m = 185

• 6d + 550m = 185

  3d + 350m = 337

• 6m + 550d = 337

  3m + 350d = 185

• 6m + 550d = 185

  3m + 350d = 337

Write a system of equation to solve the following situation.

Two groups of people order food at a restaurant. one group order 4 pizzas and 7 salads for $34.50. The other group orders 8 pizzas and 3 salads for $30.50. Find the cost of each item.

Let p = pizza and s = salad.

• 4p +7s = 30.50 and 8p + 3s = 34.50

  A pizza costs $2. 40 and a salad costs $3.40

• 4p +7s = 34.50 and 8p + 3s = 30.50

  A pizza costs $2. 50 and a salad costs $3.50

• 4p -7s = 34.50 and 8p - 3s = 30.50

  A pizza costs $1.50 and a salad costs $4.50

• 4p +7s = 34.50 and 8p + 3s = 30.50

  A pizza costs $3.50 and a salad costs $2.50