Linear Programming, System of equations and inequalities ...

Linear Programming, System of equations and inequalities Assessment - Part 2

MYP5

IS?

Teacher : Vivi Apostolou

Linear Programming, System of equations and inequalities Assessment - Part 2

MYP5

Linear Programming and System of equations Assessment

1. Say you need to buy some new filing cabinets. You know that it is 10 per unit to buy Cabinet X, which holds 8 cubic feet of files and requires floor space of 6 square feet. On the other hand, it is 20 for every unit of Cabinet Y which requires floor space of 8 square feet and holds about 12 cubic feet of files. For this purchase, you have been given 140 but don't really have to spend all of it. The space in the office only has room for a maximum of seventy-two square feet of furniture. To maximize the volume of files you can store, how many of what model do you need to buy?

Marks 16 (Cr B-D)

2. Solve the following system of linear equations with three variables using Cramer's rule

4x + 4y + z =24 2x - 4y + z =0 5x - 4y - 5z = 12

Marks 4 (Cr-A-C)

3. Solve the following system by graphing. y=x+4 Y=3x

Marks 4 (Cr-A-C)

IS?

Teacher : Vivi Apostolou

Linear Programming, System of equations and inequalities Assessment - Part 2

MYP5

4. Solve the system using any algebraic method. 9x - 5y = -30 x + 2y = 12

Marks 4 (Cr A-C)

5. Which values should be given to a,b and c so that the linear system shown has (-1, 2, -3) as its only solution? x + 2y -3z = a -x - y + z = b 2x + 3y -2z = c

Marks 4 (Cr A-C)

IS?

Teacher : Vivi Apostolou

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