3
CHAPTER TEST
Additional Resources
Graph the linear system and estimate the solution. Then check the solution
algebraically. 1–4. See margin for art.
1. 4x 1 y 5 5
2. x 1 2y 5 26
3x 2 y 5 2 (1, 1)
26x 2 2y 5 214
(4, 25)
Assessment Book
3. 2x 2 3y 5 15
3 y 5 23
x2}
2
4. 3x 2 y 5 12
7. x 2 2y ) 214
8. 23x 1 4y > 212
no solution
Graph the system of linear inequalities.
5. 2x 1 y < 6
5–8. See margin.
6. x 2 3y * 9
y > 22
}x 2 y ) 3
1
3
•
Test Generator
y < 22°x° 1 5
y * °x°
Chapter Test, Levels A, B, C
Standardized Chapter Test
• SAT/ACT Chapter Test
• Alternative Assessment
•
2x 1 8y 5 24 (4, 0)
Chapter Test
Solve the system using any algebraic method.
9. 3x 1 y 5 29
12. x 2 y 1 z 5 23
15.
16.
5
1
7 26
13
19.
F
F
A5
15
0 11 25
14 22 23
226 222
254 213
11. x 1 4y 5 226
13. x 1 y 1 z 5 3
14. 2x 2 5y 2 z 5 17
2x 1 3y 1 2z 5 28
5y 1 z 5 2 (5, 1, 23)
G
F G F G F G F
x 1 y 1 3z 5 19
24x 1 6y 1 z 5 220
17 26
,}
1 2}43, 2}
3 32
G
15. 2A 1 B
16. C 2 3B
17. A 2 2D
18. 4D 1 E
19. AC
20. DE
21. (A 1 B)D
22. A(C 2 B)
G F G
23.
20. Not possible;
the number of
columns in D
does not equal
the number of
rows in E.
G F
1 22
3 5
26 8
21 3 22
4 21 3
,B5
,C5
,D5
,E5
4 23
21 0
10 15
2 0 21
6 22 1
F
Evaluate the determinant of the matrix.
3 22
4
1
11
24.
F
G
24
5
2 21
26
25.
21 3
1
0 2 23
5 1 22
4.
2
G F G
254 26.
2
0 21
5 23
2
1
4
6
G
4x 1 5y 5 7
28. 2x 2 7y 5 236
x 2 3y 5 216
x
275
5.
y
1
21
Use an inverse matrix to solve the linear system.
27. 3x 1 4y 5 6
y
2
29. 5x 1 3y 5 25
29x 2 6y 5 12
x
30. 3x 1 2y 5 15
2x 1 4y 5 233
(22, 3)
(24, 4)
(2, 25)
(9, 26)
31. FINANCE A total of $15,000 is invested in two corporate bonds that pay 5%
and 7% simple annual interest. The investor wants to earn $880 in interest
2 12 211
21.
per year from the bonds. How much should be invested in each bond?
29 9 23
$8500 at 5%, $6500 at 7%
32. TICKET SALES For the opening day of a carnival, 800 admission tickets
231 227
22.
were sold. The receipts totaled $3775. Tickets for children cost $3 each,
269 233
tickets for adults cost $8 each, and tickets for senior citizens cost $5 each.
There were twice as many children’s tickets sold as adult tickets. How
many of each type of ticket were sold? 450 children tickets, 225 adult tickets,
125 senior citizen tickets
33. BOATING On a certain river, a motorboat can travel 34 miles per hour with
the current and 28 miles per hour against the current. Find the speed of
the motorboat in still water and the speed of the current.
speed in still water: 31 mi/h, speed of current: 3 mi/h
F
F
Easily-readable reduced copies (with answers) of Chapter
Test B, the Standardized
Chapter Test, and the
Alternative Assessment from
the Assessment Book can be
found on pp. 150G–150H.
25x 2 2y 5 214 (6, 28)
Use the given matrices to evaluate the expression, if possible. If not possible,
state the reason.
215 27
17. Not possible;
A and D do not
have the same
dimensions.
18.
2x 2 y 1 5z 5 4
4x 1 2y 2 z 5 2 (21, 4, 2)
F G
F G
10. 2x 1 3y 5 22
4x 1 7y 5 26 (2, 22)
x 2 2y 5 210 (24, 3)
6.
G
Chapter Test
y
1
22
x
7.
y
2
22
8.
x
y
227
1
1.
2.
y
3.
y
21
y
6:29:49
-0380.indd
PM 227
x
6/17/09 6:29:52 PM
4
1
21
2
x
22
x
22
x
227