Chapter 3 Test
Sections 1 – 4
Name _______________________________
Per. # ___________ Form A
1. What is the vertex for the graph of y 
2
x  4 5?
3
1. _____________(+1)
Graph.
2. y  3 
2
x  4
5
(+4)
3. Write the inequality for the graph.
3. ______________________________(+3)
4. Without Graphing Classify the equations as Independent, Dependent, or Inconsistent and explain why.
3
x  4
y 3
2
3x  2 y  9
4. _________________________________________
___________________________________________
___________________________________________
_______________________________________(+3)
Solve the system of equations by graphing.
2
x3
5. y 
3
5 x  3 y  27
5. Solution is ________(+4)
Solve the system of equations by substitution. Show work for credit.
6. 3x  2 y  10
4 x  y  17
6. Solution is ________________(+5)
Solve the system of equations by elimination. Show work for credit.
7. 2 x  5 y  4
4 x  3 y  18
7. Solution is ________________(+5)
Solve the system of equations by either substitution or elimination. Show work for credit.
8. 4 x  5 y  2
9. 3x  5 y  12
x  2 y  1
4x  2 y  2
8. Solution is ________________(+6)
9. Solution is ________________(+6)
Solve the system of inequalities by graphing.
10. 3 x  2 y  2
x  4 y  12
(+6)
11. x  3 y  6
y  3x 2 6
(+7)
12. Graph the system of constraints. Name all vertices. Then find the value of x and y that will Maximize the
objective function. Show all work. (+8)
1

 y  2 x  10

Constraints  y   x  15

y0

x0

Maximum for P = 2x + 3y.
13. A business makes Fossil Ridge hats in green and black. The business can only produce at most 160
hats per day. Hat materials cost $4 per green hat and $8 per black hat. The business budgets $800 per
day for material expenses. Each green hat sells for $16 and each black hat sells for $20. How many hats
do they have to sell to maximize their income?
(+8)
(a) Define your variables and write a system of linear inequalities to represent the business constraints.
(b) Graph the feasible region.
(c) Find all vertices, determine the objective function, and tabulate the income possible at each point.
Vertex (x, y)
Income
Objective Function: __________________
(d) How much of each kind of hat should the business produce in order to maximize daily income?