Name: _________________________
Test #2 (Chapters 3 and 4)
Show All Work!!
1. (5 pts.) Determine whether the ordered pair 7,9  is a solution of the following system of
2.
equations:
y  8 x  47
9 x  y  54
(5 pts.) Solve
the following system graphically. Be sure to check your solution.
If you don’t use the graph, I won’t give you credit.
y  2 x  3
.
x y6
3.
(5 pts.) Use
the substitution to solve:
 7 x  y  58
2 x  16 y  16
1
1
x  y  15
9
4. (5 pts.) Solve using the elimination method: 3
2
1
x  y  18
5
3
5.
(10 pts.) The
Laney College Bookstore paid $1629 for 45 calculators. The store paid $11 for each
scientific calculator and $53 for each graphing calculator. If they only purchased graphing and
scientific calculators, how many of each type were ordered?
x y  z 3
6.
(5 pts.) Determine
whether 3,1,5 is a solution of the system: x  3 y  z  5
3x  3 y  z  7
 3 x  3 y  6 z  27
7.
(10 pts.) Solve
the system:
x  y  2z  9
5 x  y  10 z  41
8.
(5 pts.) Solve
the inequality. Graph the solution set and write your answer in interval notation:
x  4  10
Graph:
Interval Notation:
9.
(5 pts.) Solve,
Graph:
then graph and write your answer in interval notation:  3x  15
Interval Notation:
10. (5 pts.) Solve, then graph and write your solution in interval notation:
3k
 3
2
Graph:
Interval Notation:
11. (5 pts.) Write the domain of the function in interval notation: f ( x) 
3 x
12. (5 pts.) Solve. Graph the solution set and write the answer in interval notation:  3 
Graph:
x5
3
4
Interval Notation:
13. (5 pts.) Solve: 8 x  5  2
14. (5 pts.) Let f ( x)  x  9 . Find all x for which f ( x)  25
15. (5 pts.) Solve for a: 2a  6  3a  6
16. (5 pts.) Solve and graph your solution: x  5  9
Graph:
17. (5 pts.) Solve and graph your solution: 3  5 x  13
Graph: