Systems of Equations Tables

The table describes a system of two linear equatios. What is the solution of the system?

• (-5,-7)

• (-1,5)

• (3,17)

• (8,-59)

The table describes a system of two linear equatios. What is the solution of the system?

• (-3,-20)

• (-1,3.5)

• (0,-11)

• (4,1)

The table describes a system of two linear equatios. What is the solution of the system?

• (-2,3)

• (1,3)

• (3, 7)

• (4,9)

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

Some of the values for two linear equations are shown in the tables below.

• ( -2, 4 )

• ( -2, -4 )

• ( -6, 10 )

• (10, 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)

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

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

Your friend rents 10 chairs and 2 tables for $300. Another friend rents 8 chairs and 4 tables for $360. How much does a chair and a table cost? Write a system of equations to solve.

• Chairs $2 Tables $5

• Chairs $50 Tables $20

• Chairs $10 Tables $15

• Chairs $20 Tables $50

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