Chapter 7 - Practice Test
The more you practice, the easier the test will be!
Name: ________________________________________________ Date: _________________
Directions: In problems 1-3, describe whether the system represents parallel lines, intersecting
lines, or a single line. Also state if the system has one, many or no solutions. If it has a
solution, find it.
1.
1. ___________________
___________________
___________________
2.
2. ___________________
___________________
___________________
3.
3. ___________________
___________________
___________________
4. Solve the linear
system by graphing. Use
a straightedge to draw
straight lines.
4. Use graph at the left.
5. Use substitution to solve the linear system.
5. ___________________
6. Use linear combinations to solve the linear system.
6. ___________________
7. Solve the linear system by any method.
7. ___________________
8. ___________________
8. Find the solution to the system, if it exists.
9. ___________________
9. Find all solutions of the system.
10. A total of $10,000 is invested in two funds paying 5%
and 7% annual interest. The combined annual interest is
$644 How much of the $10,000 is invested in each fund?
10. ___________________
11. Use graph at the left.
11. A salad contains x pounds of
ham and y pounds of chicken.
There are at most 4 pounds of ham
and chicken in the salad. Write a
system of inequalities to represent
this situation. Sketch a graph of
the system.
12. Sketch the graph of the
system of linear
inequalities.
12. Use graph at the left.
13. You buy decorations for a party. The before tax total
for 3 rolls of crepe paper and 20 balloons is $11.40. After
you start decorating, you need more supplies. You buy 2
more rolls of crepe paper and 10 more balloons for $7.20.
How much did each roll of crepe paper and each balloon
cost?
A. $12.00, $0.13
B. $3.00, $0.12
C. $2.00, $0.42
D. $4.00, $0.33
13. ___________________
14. The ordered pair (2, -1) is a solution to which system?
14. ___________________
A. 4x – 5y = 0
6x – 5y = 10
B. x + y = 6
2x – 5y = 10
C. x + y = -2
2x – 3y = -9
D. 3x + 2y = 4
-x + 3y = -5
15. Choose the system shown on the graph.
15. ___________________
A. 2x + y < 4
x + 2y > -4
B. x – 2y > -4
x – 2y < 4
C. 2x + y < 4
-2x + y < 4
D. x + 2y < 4
-x + 2y < 4
16. Decide whether (-2, 5) is a solution of the system.
16. ___________________
17. Use substitution to solve the system.
17. ___________________
18. Graph and check to
solve the system.
18. Use graph at the left.
_________________
19. Use linear combinations to solve the system.
19. ___________________
20. Sketch the graph of the
constraints.
21. Sketch the graph of the
constraints.
20. Use graph at the left.
21. Use graph at the left.