Chapter 3 Test
Sections 1 – 4
Name _______________________________
Per. # ___________ Form C
1. Without Graphing Classify the equations as Independent, Dependent, or Inconsistent and explain why.
2
y  x4
3
2 x  3 y  4
1. Independent, Dependent, or Inconsistent
1. Why? ___________________________
_________________________________________
_______________________________________(+3)
#2 & 3. Solve the system of equations by Graphing.
2
3
x5
2. y  x  4
3. y 
3
4
x  y 1
2 x  y  10
Solution
is
2. ________(+6)
Solution
is
3. __________(+6)
#4 & 5. Solve the system of equations by Substitution. Show work for credit.
4. y  2 x  3
5. 3 x  4 y  10
3 x  2 y  10
x  3 y  12
Solution
is
Solution
is
4. ________________(+7)
5. ________________(+7)
#6 – 8. Solve the system of equations by Elimination. Show work for credit.
6. 4 x  2 y  20
7. 3 x  5 y  22
3x  2 y  1
3 x  y  10
Solution
is
Solution
is
6. ________________(+6)
7. ________________(+7)
8. 2 x  3 y  11
5 x  4 y  7
Solution
is
8. ________________(+8)
9. Solve the System of Inequalities by graphing
3
y  x2
(+7)
4
2
y
x7
3
#10 & 11. Solve each System of Inequalities by graphing.
3
10. y  x  5
(+9)
11. x  2 y  2
2
1
y
x3 2
y  3 x  2  1
2
(+9)
12. Find the values of x and y that Maximize the objective function for the graph. What is the maximum
value? Show your work.
(+5)
Maximum for P = 5x + 6y
13. Graph the system of constraints. Name all vertices. Then find the value of x and y that will Maximize the
objective function.
(+10)
x0
3 y 6
x y8
6 y  3 x  12
Maximum for P = 3x + 4y.