Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Choose the appropriate sketch and description for the indicated geometric object.
1)
Isosceles
ABC
1)
A)
AB, BC, AC have different lengths
B)
AB, BC, AC have different lengths;
B = 90°
C)
AB, AC are the same length
D)
AB, BC, AC are the same length
Choose the appropriate sketch for the indicated geometric object.
2)
Line segment ST
2)
A)
S T
B)
S T
C)
S T
D)
T S
1
Choose the appropriate sketch and description for the indicated geometric object.
3)
Equilateral
ABC
3)
A)
AB, BC, AC have different lengths;
B = 90°
B)
AB, BC, AC are the same length
C)
AB, AC are the same length
D)
AB, BC, AC have different lengths
4)
Scalene
ABC
4)
A)
AB, AC are the same length
B)
AB, BC, AC have different lengths
C)
AB, BC, AC are the same length
D)
AB, BC, AC have different lengths;
B = 90°
2
5)
Right
ABC
5)
A)
AB, BC, AC have different lengths
B)
AB, AC are the same length
C)
AB, BC, AC are the same length
D)
AB, BC, AC have different lengths;
B = 90°
Choose the appropriate sketch for the indicated geometric object.
6)
Ray ST
6)
A)
S T
B)
S T
C)
S T
D)
T S
7)
Parallel lines WX and YZ
7)
A)
W X
Y Z
B)
W X
Y Z
C)
W Y
X Z
D)
W
Y Z
X
3
Determine between which two consecutive whole numbers each square root lies.
8)
83
8)
A)
8 and 9
B)
7 and 8
C)
10 and 11
D)
9 and 10
Choose the appropriate sketch and description for the indicated geometric object.
9)
Trapezoid RS TU
9)
A)
RS=TU =RT =SU
R =
S =
T =
U = 90°
B)
RSTU
C)
RSTU, RT SU
RS=TU, RT =SU
R =
U,
S =
T
D)
RSTU, RT SU
R =
S =
T =
U = 90°
Choose the appropriate sketch for the indicated geometric object.
10)
Perpendicular lines AB and CD
A)
A
C D
B
B)
A
C D
B
C)
A
B D
C
D)
A B
C D
4
11)
Acute angle
XYZ
A)
X
Y Z
B)
X Y Z
C)
X
Y Z
D)
X
Y Z
12)
Line WX
A)
X W
B)
W X
C)
W X
D)
W X
Choose the appropriate sketch and description for the indicated geometric object.
13)
Circle with center P
A)
B)
C)
D)
5
Choose the appropriate sketch for the indicated geometric object.
14)
Obtuse angle
XYZ
A)
X
Y Z
B)
X
Y Z
C)
X Y Z
D)
X
Y Z
15)
Right angle
MNP
A)
M
N P
B)
M
N P
C)
M N P
D)
M
N P
Find area of figure. Round to the nearest hundredth if necessary.
16)
23 ft 20 ft
44 ft
A)
880ft2
B)
200ft2
C)
230ft2
D)
440ft2
6
Rewrite the inequality using interval notation. Then graph the inequality.
17)
x <3 or x <6
A)
(3, 6)
B)
(3,
)
C)
(–
, 3)
(6,
)
D)
(–
, 6)
Solve the problem.
18)
Determine whether the ordered triple (2, 9, –4) is a solution of the system of equations.
2x – 5y – 9z = –5
x + y + z = 7
3x – y + 5z = 35
A)
Yes
B)
No
Solve, rewrite in interval notation, and graph.
19)
5x – 1 < 4 and x – 2 > –1
A)
[0, 1]
B)
(–1, 1)
C)
(0, 1)
D)
No solution
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
20)
A sphere with radius 5ft.
A)
523.333 ft3
B)
4186.667 ft3
C)
104.667 ft3
D)
294.375 ft3
7
Find area of figure. Round to the nearest hundredth if necessary.
21)
Find the area of a rectangle measuring 4.2 yd by 21.01 yd.
A)
88.242 yd2
B)
25.21 yd2
C)
17.64 yd2
D)
176.484 yd2
Find the volume of the composite figure. Round to the nearest hundredth if necessary.
22)
Largest possible sphere removed from cube
18 cm
(Use 3.1 4 for .)
A)
5832 cm3
B)
8884.08 cm3
C)
2779.92 cm3
D)
3052.08 cm3
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
23)
b = 20 cm, c = 25 cm
A)
a = 5 cm
B)
a = 45 cm
C)
a = 225 cm
D)
a = 15 cm
Solve, rewrite in interval notation, and graph.
24)
3<10 – x and –2
3x
1
A)
 , –3
2
B)
–3
2 , 7
C)
–7, –3
2
D)
–3
2 ,
8
25)
4x + 17 –28 or 4x + 17 28
A)
(–
, –12] [2,
)
B)
–
,–45
411
4,
C)
–45
4,
D)
(–
,
)
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
26)
a = 8 in., c = 17 in.
A)
b = 25 in.
B)
b = 9 in.
C)
b = 15 in.
D)
b = 225 in.
Solve the system of equations.
27)
3
5y +1
4z =4
3
4x –6
5y= 11
2
5x+1
4z =10
A)
10, –1
5, 2
B)
7
5, 10
3, 2
C)
1
5, 8
3, –2
7
D)
20, 10
3, 8
Solve.
28)
–1.5 2.6 –0.5(2x +1) <6.74
A)
–3.64
x < –1.6
B)
–3.64 < x –1.6
C)
–4.64
x <3.6
D)
–4.64 < x 3.6
Solve using Cramer’s rule.
29)
–3x – 4y + 3z = –26
–7x + 6y + 5z =2
–8x – 3y + 9z = –24
A)
(10, 3, 7)
B)
(9, –5, –7)
C)
(5, 7, 5)
D)
(9, 5, 7)
Find the square root.
30)
64
A)
32
B)
8
C)
16
D)
10
9
Find area of figure. Round to the nearest hundredth if necessary.
31)
18 m
15 m
(Use 3.1 4 for .)
A)
389.34 m2
B)
397.17 m2
C)
Not enough data
D)
262.17 m2
Solve the problem.
32)
Determine whether the ordered triple –2
3, 1, –2
3 is a solution of the system of equations.
9x – 9y – 6z = –11
6x + 3y – 3z = 1
x – y + 2z = –3
A)
No
B)
Yes
Find area of figure. Round to the nearest hundredth if necessary.
33)
81
2 cm
81
2 cm
A)
721
4cm2
B)
641
4cm2
C)
17 cm2
D)
34 cm2
Find the perimeter or circumference.
34)
A rectangle measuring 41
3 mm by 31
2 mm
A)
152
3 mm
B)
75
6 mm
C)
20 mm
D)
151
6 mm
Determine between which two consecutive whole numbers each square root lies.
35)
33
A)
5 and 6
B)
7 and 8
C)
6 and 7
D)
4 and 5
10
Rewrite the inequality using interval notation. Then graph the inequality.
36)
–3
x
2
A)
[–3, –2]
B)
[–3, 2]
C)
(–3, 2)
D)
[–2, 3]
Find the measure of the requested angle.
37)
In right triangle ABC,
A is the right angle,
B =67°. Find the measure of
C.
A)
23°
B)
45°
C)
53°
D)
113°
Find the perimeter. Use 3.14 for when needed.
38)
6 m
5 m 5 m
A)
43.4 m
B)
27.7 m
C)
21.7 m
D)
37.4 m
Solve the equation.
39)
t – 7 = 0
A)
7
B)
–7
C)
–7, 7
D)
No Solution
Solve the system using matrices.
40)
9x – 8y + 4z = –19
–27x + 24y – 12z = 57
18x – 16y + 8z = –38
A)
(–3, –3, –4)
B)
Infinitely many solutions
C)
(–3, 1, 5)
D)
No solution
Solve the problem.
41)
A semicircular driveway has a diameter of 140 ft. How long is the driveway?
(Use 3.14 for .)
A)
219.8 ft
B)
217.8 ft
C)
3266.66667 ft
D)
439.6 ft
42)
Determine whether the ordered triple (–2, 6, –1) is a solution of the system of equations.
–x + 3y + 4z = 16
3x + 2y – z = 7
4x – y + 3z = –17
A)
No
B)
Yes
11
Solve area problem.
43)
A rectangular piece of fabric is 16 ft by 12 ft. A triangular area with a height of 4.4 ft and a base of
9.7 ft is cut from the fabric. How much area is left over?
A)
298.64 ft2
B)
149.32 ft2
C)
170.66 ft2
D)
250.2 ft2
Solve the system using matrices.
44)
3x +1
2y =7
4x +2
3y =28
3
A)
No solution
B)
(–2, 1)
C)
(2, 2)
D)
(3, 1)
Solve the system.
45)
x + y + z = 9
2x – 3y + 4z = 7
x – 4y + 3z = –2
A)
(9, 7, 2)
B)
(1, 1, 1)
C)
No solution
D)
Infinitely many solutions
Solve the system of equations.
46)
4x + 2y – 3z =2
2x + 4y + z =38
6x + 2y – 2z =14
A)
5
2, 13
2, 7
B)
5
5, –13
3, 7
C)
13
2, –5
2, –7
D)
–5, 13
2, 7
Solve, rewrite in interval notation, and graph.
47)
9x – 6 <3x or –3x –9
A)
No solution
B)
[1, 3]
C)
(–
, 1) [3,
)
D)
(1, 3)
12
Find the circumference of the circle. Use 3.14 for .
48)
22 yd
A)
69.08 yd
B)
138.16 yd
C)
34.54 yd
D)
379.94 yd
Solve the equation.
49)
–3s – 7 = 7 –3s
A)
7
3
B)
No solution
C)
–7
3
D)
–7
3, 7
3
Solve, rewrite in interval notation, and graph.
50)
x
5–8–8 or 5x
6+28
A)
( , 0] 42
5,
)
B)
( , 0] 18
5,
)
C)
( , 0] 36
5,
)
D)
( , 0] 12
5,
)
13
Solve area problem.
51)
Find the cost to asphalt a circular racetrack if asphalt costs $50 per 100 ft2. (Use 3.14 for . Round to
the nearest dollar.) r =80 ft
R =95 ft
(Use 3.1 4 for .)
A)
$4121
B)
$10,048
C)
$1413
D)
$14,169
Solve.
52)
1< – 1
4(7x –28) 11
A)
–16
7< x 32
7
B)
–16
7< x 24
7
C)
–16
7 x <32
7
D)
–16
7 x <24
7
Find the measure of the requested angle.
53)
Find the supplement of 92°.
A)
88°
B)
268°
C)
Not possible
D)
178°
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
54)
a =4 yd, b =4 yd
A)
c 4.1 yd
B)
c 2.8 yd
C)
c 5.7 yd
D)
c =4 yd
Find the perimeter or circumference.
55)
A rectangle measuring 9ft by 10 ft
A)
38 ft
B)
19 ft
C)
2ft
D)
36 ft
Find the perimeter or circumference. Use
3.14 when needed.
56)
A polygon whose side lengths are 5.5 ft, 4.73 ft, 2.26 ft, 8 ft, and 2.8 ft
A)
16.09 ft
B)
8.62 ft
C)
23.29 ft
D)
15.82 ft
Find the missing length to the nearest tenth.
57)
7km c
8km
A)
c =56.5 km
B)
c =3.9 km
C)
c =10.6 km
D)
c =113km
14
Find the perimeter or circumference. Use
3.14 when needed.
58)
d =7in.
Round to one decimal place.
A)
11.0 in.
B)
22.0 in.
C)
38.5 in.
D)
44.0 in.
Find the perimeter. Use 3.14 for when needed.
59)
7 in.
7 in.
A)
38.99 in.
B)
49.98 in.
C)
42.98 in.
D)
31.99 in.
Find the volume.
60)
7.5 cm
5.4 cm
3.1 cm
A)
125.550 cm3
B)
43.60 cm3
C)
16.0 cm3
D)
125.550 cm2
Find the square root.
61)
25
A)
1
B)
25
2
C)
5
D)
10
Determine between which two consecutive whole numbers each square root lies.
62)
58
A)
6 and 7
B)
7 and 8
C)
9 and 10
D)
8 and 9
15
Solve the system.
63)
x + 3y + 2z = 11
4y + 9z = –12
x + 7y + 11z = –11
A)
(0, 3, 1)
B)
No solution
C)
(7, –1, –1)
D)
(1, 6, –4)
Find the circumference of the circle. Use 3.14 for .
64)
12.5 mi
A)
39.250 mi
B)
490.625 mi
C)
15.875 mi
D)
78.50 mi
Solve area problem.
65)
The diameter of a discus is about 8.72 in. What is the area of one flat surface of the discus? (Round
to the nearest hundredth.)
(Use 3.1 4 for .)
A)
238.76 in.2
B)
59.69 in.2
C)
29.85 in.2
D)
27.38 in.2
Find the missing length to the nearest tenth.
66)
20 in 27 in
b
A)
b =2.6 in
B)
b =329in
C)
b =33.6 in
D)
b =18.1 in
Approximate the square root. Round to the nearest tenth, if needed.
67)
200
A)
13.9
B)
14
C)
14.1
D)
14.2
16
Solve, rewrite in interval notation, and graph.
68)
1
2t –4 and 11 –2t >3
A)
–8, 4
B)
–8, 4
C)
–4, 4
D)
–4, 4
Find the perimeter or circumference.
69)
2.9 m
2.0 m
A)
4.9 m
B)
7.8 m
C)
9.8 m
D)
6.9 m
Determine between which two consecutive whole numbers each square root lies.
70)
8
A)
2 and 3
B)
3 and 4
C)
1 and 2
D)
0 and 1
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
71)
a = 30 cm, c = 50 cm
A)
b = 10 cm
B)
b = 80 cm
C)
b = 20 cm
D)
b = 40 cm
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
72)
How many in.3 can an ice chest hold if it has dimensions of 24
5in. ×51
3in. ×32
3in.?
A)
71.7 in.3
B)
28.7 in.3
C)
79.6 in.3
D)
54.8 in.3
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
73)
A cylinder with diameter 8 cm and height 5.9 cm.
A)
124.344 cm3
B)
248.688 cm3
C)
174.584 cm3
D)
296.416 cm3
17
Find the perimeter or circumference.
74)
28 m
17 m 17 m
34 m
A)
51 m
B)
476 m
C)
96 m
D)
34 m
Solve the system using matrices.
75)
3x +4y =8
9x –9z = –18
8y – 3z =16
A)
–2
3, 5
2, 4
3
B)
2
3, 5
2, –4
3
C)
– 1, 5
2, 4
3
D)
1, –5
3, 4
3
Find the missing length to the nearest tenth.
76)
12 cm c
16 cm
A)
c =14.0 cm
B)
c =20.0 cm
C)
c =10.6 cm
D)
c =19.0 cm
Solve the problem.
77)
Joe’s garden is fenced in and is a square. In the center is a sprinkler that is 45 ft from the front
corner. How far is the sprinkler from the back corner? Round to the nearest hundredth when
necessary.
A)
22.5 ft
B)
90 ft
C)
45 ft
D)
Not enough information to solve
Solve the inequality and graph the solution set.
78)
|z + 2| 0
A)
All real numbers ; (–
,
)
B)
–2
z 2 ; [–2, 2]
C)
z –2 ; [–2,
)
D)
No solution
18
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
79)
a = 1 ft, b =6 ft
A)
c =7 ft
B)
c 6.1 ft
C)
c 2.6 ft
D)
c 5.9 ft
Find area of figure. Round to the nearest hundredth if necessary.
80)
3.0 yd
14.3 yd
(Use 3.1 4 for .)
A)
39.37 yd2
B)
35.84 yd2
C)
33.31 yd2
D)
Not enough data
Solve the inequality and graph the solution set.
81)
g + 8 <5
A)
No solution
B)
13 < g < –3 ; (13, –3)
C)
–13 < g <3; (–13, 3)
D)
–13 <g< –3 ; (–13, –3)
Solve.
82)
44t – 4 24
A)
2<t<7
B)
–7t–2
C)
–7<t< –2
D)
2t7
Find the measure of the missing angle(s).
83)
square
A)
60°
B)
180°
C)
90°
D)
45°
19
Solve.
84)
–30 –4c + 2 < –6
A)
2 c <8
B)
–8< c –2
C)
–8
c < –2
D)
2< c 8
Solve the inequality and graph the solution set.
85)
x 17
A)
x–17 ; (–
, –17]
B)
x17 ; (–
, 17]
C)
–17 x17 ; [–17, 17]
D)
x–17 or x17 ; (–
, –17] [17,
)
Use synthetic division to find the quotient.
86)
(3x4– 2x3– 10x2+ 15) ÷ (x – 2)
A)
3x3+ 4x2– 2x – 4 +–11
x – 2
B)
3x3+ 4x2– x – 3 +1
x – 2
C)
3x3+ 4x2– 2x + 4 +–8
x – 2
D)
3x3+ 4x2– 2x – 4 +7
x – 2
Evaluate the determinant.
87)
–5 5 0
0 3 3
1 2 –4
A)
105
B)
45
C)
75
D)
–105
Solve the problem.
88)
Determine whether (–1, –2, 2) is a solution of the system
x + 4y + 3z = 1
5y + 3z = 4
z = –2
A)
No
B)
Yes
Find the distance between the points on a number line.
89)
15.4 and 8.4
A)
23.8
B)
11.9
C)
3.5
D)
7
20
Rewrite the inequality using interval notation. Then graph the inequality.
90)
–3< x <1
A)
(–3, 1]
B)
[–3, 1]
C)
(–3, 1)
D)
[–3, 1)
Find area of circle. (Use 3.14 for )
91)
Find the area. Use 3.14 for .
2.75 mi
A)
94.985 mi2
B)
17.27 mi2
C)
23.74625 mi2
D)
34.54 mi2
Use synthetic division to find the quotient.
92)
–3x3– 15x2– 16x – 16
x + 4
A)
–3x – 3
B)
–3
4x2+ – 15
4x + – 4
C)
–3x2– 3x – 4
D)
3x2– 4x – 4
Find the perimeter or circumference.
93)
A polygon with sides 9ft, 7ft, 16 ft, 18 ft, 14 ft, and 20.5 ft
A)
14.08 ft
B)
169
4ft
C)
84.5 ft
D)
0.61 ft
Evaluate the determinant.
94)
1–8
4 6
A)
–32
B)
–26
C)
–38
D)
38
21
Use synthetic division to find the quotient.
95)
x5– 2x4– 17x3+ 12x2– 13x + 16
x – 5
A)
x3+ 3x2– 2x + 2 +1
x – 5
B)
x4+ 3x3– 2x2+ 2x + 1
C)
x4+ 3x3– 2x2+ 2x – 3 +1
x – 5
D)
x4+ 3x3– 2x2+ 2x + 3 +3
x – 5
Find area of figure. Round to the nearest hundredth if necessary.
96)
13.0 in.
28.6 in.
(Use 3.1 4 for .)
A)
438.1325 in.2
B)
Not enough data
C)
504.465 in.2
D)
412.62 in.2
Solve the system of equations.
97)
4x – y + 3z = 12
2x + 9z = –5
x + 4y + 6z = –32
A)
(2, –7, 1)
B)
(2, 7, –1)
C)
(2, –7, –1)
D)
(2, 7, 1)
98)
x – y + z = 6
x + y + z = –4
x + y – z = –12
A)
(4, –3, –5)
B)
(–3, –5, 4)
C)
(–3, 4, –5)
D)
No solution
99)
x – z = –7
3x – y = –1
x + y + z = 18
A)
(2, 3, 9)
B)
No solution
C)
(2, 7, 9)
D)
(–1, 7, 9)
Find the perimeter or circumference.
100)
A circle whose radius measures 10 cm (Use 3.14 for .)
100)
A)
100cm
B)
31.4 cm
C)
62.8 cm
D)
314cm
Find the distance between the points on a number line.
101)
1 and 13
101)
A)
12
B)
–12
C)
–14
D)
14
22
Solve the equation.
102)
5x = 0
102)
A)
–5, 0
B)
–5, 5
C)
0, 5
D)
0
Solve the system.
103)
5x – 3y + 4z = –42
–15x + 9y – 12z =126
15x – 9y + 12z = –126
103)
A)
No solution
B)
(–8, –2, –2)
C)
(–2, –2, –8)
D)
Infinitely many solutions
Solve the inequality and graph the solution set.
104)
h + 6 8
104)
A)
–14 h 2 ; [–14, 2]
B)
No solution
C)
–14 < h <2 ; (–14, 2)
D)
–14 h 17 ; [–14, 17]
Solve, rewrite in interval notation, and graph.
105)
9x + 7 –29 and 9x + 4 –5
105)
A)
[3, –1]
B)
[–4,
)
C)
[–1,
)
D)
(–
, –4] [–1,
)
23
Find area of figure. Round to the nearest hundredth if necessary.
106)
6 7 yd
6
19
24
106)
A)
390yd2
B)
79 yd2
C)
414yd2
D)
430yd2
Find the perimeter or circumference.
107)
19 in. 10 in.
20 in.
107)
A)
100in.
B)
39 in.
C)
48 in.
D)
49 in.
Solve the problem.
108)
A pest control company sprays insecticide around the perimeter of a 370 ft by 290 ft building. If the
spray costs $0.15 per foot, how much did the job cost to the nearest dollar?
108)
A)
$1341
B)
$16,095
C)
$198
D)
$99
Solve the system using matrices.
109)
5x – 2y = –1
x + 4y = 35
109)
A)
(3, 9)
B)
(3, 8)
C)
(2, 9)
D)
(2, 8)
Solve the equation.
110)
x =5
110)
A)
5
B)
5, –5
C)
–5
D)
25
The two triangles below are similar. Find the length of any missing side.
111)
9
111)
A)
x =11.25; y =15.75
B)
x =6; y =12
C)
x =13.5; y =18
D)
x =20; y =28
24
Solve the problem. If necessary, round to the nearest tenth.
112)
The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in
this plan.
?
4 ft
8 ft
112)
A)
8.9 ft
B)
40.0 ft
C)
4.9 ft
D)
3.5 ft
Solve the equation.
113)
–3y – 7 = – 3y + 6
113)
A)
1
6
B)
–1
6, 1
6
C)
No solution
D)
13
6
Solve the system using matrices.
114)
x + y + z =11
x – y + 4z =14
5x + y + z =31
114)
A)
(5, 3, 3)
B)
(3, 3, 5)
C)
No solution
D)
(3, 5, 3)
115)
1
5x +1
5y = –1
x – y =1
115)
A)
No solution
B)
(–2, –3)
C)
(–3, –2)
D)
(2, –2)
Use synthetic division to find the quotient.
116)
x3–7
2x2+7
2x – 1
x –1
2
116)
A)
x2+13
2x +7
2+ 2
B)
x2– 3x + 2
C)
x2+13
2x +22
x + 1
D)
x2– 3x + 4
Find the volume.
117)
Of a box 6.2 in. ×4.8 in. ×7in.
117)
A)
142.848 in.3
B)
235.2 in.3
C)
269.08 in.3
D)
208.32 in.3
Find the perimeter or circumference.
118)
A square measuring 23.66 cm on a side.
118)
A)
47.32 cm
B)
559.80 cm
C)
104.64 cm
D)
94.64 cm
25
Rewrite the inequality using interval notation. Then graph the inequality.
119)
x 3 or x 5
119)
A)
[–5, –3]
B)
(–3, 5)
C)
(–
, 3]
[5,
)
D)
(3, 5)
Find the perimeter or circumference.
120)
8.1 m
1.3 m
120)
A)
18.8 m
B)
17.5 m
C)
9.4 m
D)
10.7 m
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
121)
A sphere with diameter 9cm.
121)
A)
84.78 cm3
B)
214.599 cm3
C)
381.51 cm3
D)
3052.08 cm3
Find area of figure. Round to the nearest hundredth if necessary.
122)
19 m
9 m
14 m
122)
A)
148.5 m2
B)
257m2
C)
297m2
D)
1197 m2
Approximate the square root. Round to the nearest tenth, if needed.
123)
19
123)
A)
4.5
B)
5.4
C)
4.3
D)
4.4
Solve.
124)
–10.5 –3–2x
2–6.5
124)
A)
5< x 9
B)
5 x 9
C)
5< x <9
D)
5 x <9
Find the perimeter or circumference.
125)
A square with side 8.7 in.
125)
A)
44.8 in.
B)
17.4 in.
C)
34.8 in.
D)
151.38 in.
26
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
126)
a = 7 in., b = 24 in.
126)
A)
c = 31 in.
B)
c = 25 in.
C)
c = 625 in.
D)
c = 27 in.
Find the perimeter. Use 3.14 for when needed.
127)
4yd 5yd
4yd
19 yd
15 yd
127)
A)
261yd
B)
76 yd
C)
84 yd
D)
72 yd
Find the measure of the missing angle(s).
128)
a =115
128)
A)
75°
B)
55°
C)
60°
D)
65°
129)
y x
122
129)
A)
x =122° y =58°
B)
x =58° y =122°
C)
x =132°y =48°
D)
x =32° y =148°
Find area of figure. Round to the nearest hundredth if necessary.
130)
43 ft
43 ft
130)
A)
1849 ft2
B)
172ft2
C)
86 ft2
D)
3698 ft2
Use synthetic division to find the quotient.
131)
(x4+16) ÷ (x –2)
131)
A)
x3–2x2+4x –8+32
x –2
B)
x3+2x2+4x +8+16
x –2
C)
x3+2x2+4x +8+32
x –2
D)
x3+2x2+4x +8
27
Find the measure of the requested angle.
132)
Find the supplement of 83°.
132)
A)
7°
B)
187°
C)
277°
D)
97°
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
133)
4.5 m
11 m
133)
A)
2797.74 m3
B)
699.435 m3
C)
155.43 m3
D)
310.86 m3
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
134)
Three people build a rectangular shed 7 ft wide, 5 ft long, and 6 ft high. How many cubic feet does
the shed contain?
134)
A)
210 ft3
B)
107 ft3
C)
18 ft3
D)
1470 ft3
Determine between which two consecutive whole numbers each square root lies.
135)
23
135)
A)
5 and 6
B)
8 and 9
C)
3 and 4
D)
4 and 5
Evaluate the determinant.
136)
0 0 3
2–8 6
0 9 8
136)
A)
–10
B)
54
C)
–54
D)
–118
Find area of figure. Round to the nearest hundredth if necessary.
137)
43 ft 40 ft
47.5 ft
137)
A)
950ft2
B)
800ft2
C)
1900 ft2
D)
860ft2
Solve the problem.
138)
A wicker basket has a circular rim with a diameter of 11 in. How many inches of ribbon are needed
to go once around the rim?
(Use 3.14 for .)
138)
A)
121 in.
B)
69.08 in.
C)
32.54 in.
D)
34.54 in.
28
Solve the system.
139)
x + y + z = 7
x – y + 2z = 7
2x + 3z = 15
139)
A)
(4, 2, 1)
B)
(1, 2, 4)
C)
(2, 1, 4)
D)
No solution
Find the volume of the composite figure. Round to the nearest hundredth if necessary.
140)
Cylinder with Spherical Dome
2 cm
13 cm
140)
A)
7.33 cm3
B)
42.91 cm3
C)
17.79 cm3
D)
4.71 cm3
Find area of figure. Round to the nearest hundredth if necessary.
141)
Find the area of a square measuring 32.6 m on a side.
141)
A)
130.4 m2
B)
1062.76 m2
C)
2125.52 m2
D)
65.2 m2
Find the volume of the composite figure. Round to the nearest hundredth if necessary.
142)
Cube on rectangular solid
2 ft
10 ft
9 ft
14 ft
142)
A)
2520 ft3
B)
1252 ft3
C)
39 ft3
D)
1268 ft3
Solve the system of equations.
143)
x – y + 8z = –107
6x + z = 17
3y – 5z = 89
143)
A)
(5, 8, –13)
B)
(–5, –8, 13)
C)
(5, –8, –13)
D)
(–5, 8, 13)
29
The two triangles below are similar. Find the length of any missing side.
144)
7.2
4.8
144)
A)
x =1.40; y = 3.6
B)
x =6.4; y = 3.9
C)
x =5.6; y = 3.6
D)
x =5.6; y = 3.9
Solve the system using matrices.
145)
3x + y = 16
–2x + 2y = –16
145)
A)
(–2, 6)
B)
(–2, –6)
C)
(6, –2)
D)
No solution
Find the perimeter or circumference.
146)
A triangle whose sides measure 13 m, 12 m, and 10 m
146)
A)
35 m
B)
1560 m
C)
35
2m
D)
78 m
Approximate the square root. Round to the nearest tenth, if needed.
147)
2
147)
A)
2.4
B)
1.4
C)
1.5
D)
1.3
Find the measure of the missing angle(s).
148)
30°
x
148)
A)
150°
B)
60°
C)
120°
D)
30°
Find the volume.
149)
Of a box 14 m×23 m×9 m
149)
A)
1863 m3
B)
1764 m3
C)
2898 m3
D)
7406 m3
30
Solve the inequality and graph the solution set.
150)
8– x 17
150)
A)
x–9 ; (–
, –9]
B)
–9
x 25 ; [–9, 25]
C)
x25 ; (–
, 25]
D)
x–9 or x25 ; (–
, –9] [25,
)
Solve area problem.
151)
A room measures 13 ft by 18 ft. The ceiling is 10 ft above the floor. the door is 3 ft by 7 ft. A gallon
of paint will cover 87.9 ft2. How many gallons of paint are needed to paint the room (including the
ceiling and not including the door). Round you answer up the the next whole number.
151)
A)
7 gallons
B)
10 gallons
C)
3 gallons
D)
17 gallons
Find the perimeter or circumference.
152)
A circle whose diameter measures 6ft (Use 3.14 for .)
152)
A)
113.04 ft
B)
37.68 ft
C)
9.42 ft
D)
18.84 ft
Find the volume.
153)
Of a box 9cm ×5cm ×2cm
153)
A)
20 cm3
B)
90 cm3
C)
162cm3
D)
225cm3
Find area of figure. Round to the nearest hundredth if necessary.
154)
3.5 ft
2.7 ft
154)
A)
6.2 ft2
B)
4.725 ft2
C)
12.4 ft2
D)
9.45 ft2
Use a proportion to solve the problem. Round to the nearest tenth as needed.
155)
A building casts a shadow 39 m long. At the same time, the shadow cast by a 43–cm tall pole is 61
cm long. Find the height of the building.
155)
A)
55.3 m
B)
27.5 m
C)
53.8 m
D)
26.0 m
31
Find area of circle. (Use 3.14 for )
156)
Find the area of the circle. Use 3.14 for .
9.5 yd
156)
A)
1133.54 yd2
B)
119.32 yd2
C)
283.385 yd2
D)
59.66 yd2
Determine between which two consecutive whole numbers each square root lies.
157)
147
157)
A)
11 and 12
B)
13 and 14
C)
12 and 13
D)
10 and 11
Solve area problem.
158)
A photograph measuring 61
2 in. by 9 in. is put in a frame measuring 8 in. by 101
2 in. What is the
area of the border around the photo?
158)
A)
221
2in.2
B)
251
2in.2
C)
24 in.2
D)
27 in.2
Solve the problem.
159)
The perimeter of a rectangular room is 50 ft. The width is 8 ft. Find the length.
159)
A)
42 ft
B)
16 ft
C)
17 ft
D)
18 ft
The two triangles below are similar. Find the length of any missing side.
160)
26 513
24 12
160)
A)
x =15
B)
x =5
C)
x =10
D)
x =7
Solve the problem.
161)
Tom is going to build a fence around his garden which is a rectangle measuring 8 m by 12 m. He
will first put in posts which will be 4 m apart. If the posts cost $5.05 each, what will be the total cost
for all the posts?
161)
A)
$30.30
B)
$40.40
C)
$50.50
D)
$25.25
Find the perimeter or circumference. Use
3.14 when needed.
162)
A circle whose diameter is 3.8 yd long (Round to three decimal places.)
162)
A)
5.966 yd
B)
11.335 yd
C)
23.864 yd
D)
11.932 yd
Find the square root.
163)
250,000
163)
A)
1000
B)
125,000
C)
2500
D)
500
32
The two triangles below are similar. Find the length of any missing side.
164)
14 21
10 15
20
164)
A)
x =20
B)
x =28
C)
x =35
D)
x =26
Use a proportion to solve the problem. Round to the nearest tenth as needed.
165)
A triangle drawn on a map has sides of lengths 9 cm, 11 cm, and 14 cm. The shortest of the
corresponding real–life distances is 97 km. Find the longest of the real–life distances.
165)
A)
160.9 km
B)
118.6 km
C)
108.6 km
D)
150.9 km
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
166)
The volume of a ball is 10.67in.3. Find the dimensions of a rectangular box that is just large
enough to hold the ball.
166)
A)
2 in. by 2 in. by 2 in.
B)
4 in. by 4 in. by 4 in.
C)
2 in. by 2 in. by 2 in.
D)
4 in. by 4 in. by 4 in.
Solve the equation.
167)
2
3x+25 =5
167)
A)
No solution
B)
5, –5
C)
–5
D)
5
Use a proportion to solve the problem. Round to the nearest tenth as needed.
168)
Find the length, L, of the lake. Assume that the two triangles are similar.
75 m
10 m 30 m
168)
A)
375 m
B)
5625 m
C)
225 m
D)
25 m
33
Solve the inequality and graph the solution set.
169)
g + 7 <7
169)
A)
–14 < g <0 ; (–14, 0)
B)
No solution
C)
–14 g 0 ; [–14, 0]
D)
–14 < g <0 ; (–14, 0)
Find area of figure. Round to the nearest hundredth if necessary.
170)
Find the area of a square measuring 31
6 in. on a side.
170)
A)
10 1
36 in.2
B)
122
3in.2
C)
20 1
18 in.2
D)
61
3in.2
Solve the equation.
171)
3s + 6 = s + 8
171)
A)
– 1, 7
2
B)
No solution
C)
1, –7
2
D)
1
Solve the problem.
172)
A cell phone tower in a city transmits a signal in every direction from the tower. If the coverage
area has a radius of 73 miles, what is the diameter of this coverage area?
172)
A)
5329 mi
B)
36.5 mi
C)
730 mi
D)
146 mi
173)
Determine whether (–2, 3, –2) is a solution of the system
x – y + z = 3
x + y + z = –1
x + y – z = –7
173)
A)
Yes
B)
No
34
Find the perimeter. Use 3.14 for when needed.
174)
14.8 km
10.4 km
174)
A)
137.592 km
B)
56.328 km
C)
172.568 km
D)
72.656 km
Solve using Cramer’s rule.
175)
2a+ 5c =48
2a + 4b + 8c =78
–3a – 2b= –33
175)
A)
(3, 6, 3)
B)
(10, 1, 6)
C)
(9, –3, –6)
D)
(9, 3, 6)
Find the distance between the points on a number line.
176)
4 and –2
176)
A)
6
B)
–2
C)
–6
D)
2
Solve the equation.
177)
6x =3
177)
A)
– 2, 2
B)
–1
2
C)
1
2
D)
–1
2, 1
2
Solve, rewrite in interval notation, and graph.
178)
36x + 3 and 4x + 4 <20
178)
A)
[0, 4)
B)
(0, 4)
C)
(0, 4]
D)
[0, 4]
35
Solve the system using matrices.
179)
8x – y + 7z =83
–8x + 2z = –56
5y + z =49
179)
A)
(8, 9, 4)
B)
(–8, 9, 16)
C)
(8, 4, 9)
D)
No solution
Solve the system.
180)
–5x – 7y + 9z = –4
5x + 8y – 8z = –8
–10x – 14y + 18z = –7
180)
A)
Infinitely many solutions
B)
(–4, –8, –7)
C)
(2, 2, –1)
D)
No solution
Use a proportion to solve the problem. Round to the nearest tenth as needed.
181)
Find the height of the building. Assume that the height of the person is 5 ft.
156 ft
13 ft 5 ft
181)
A)
31.2 ft
B)
60 ft
C)
84 ft
D)
405.6 ft
Solve the equation.
182)
x = –3.5
182)
A)
No solution
B)
3.5
C)
1225
D)
–3.5
Solve, rewrite in interval notation, and graph.
183)
5x – 7 < –12 and 5– 3x > –4
183)
A)
(–
, –1) (3,
)
B)
(–
, 3)
C)
(–1, 3)
D)
(–
, –1)
36
Evaluate the determinant.
184)
9 7
7 4
184)
A)
13
B)
85
C)
–13
D)
35
Find the circumference of the circle. Use 3.14 for .
185)
4.2 cm
185)
A)
26.376 cm
B)
13.847 cm
C)
6.594 cm
D)
13.188 cm
Find area of circle. (Use 3.14 for )
186)
A circle whose radius is 10 in.
186)
A)
31.4 in.2
B)
1256 in.2
C)
314in.2
D)
62.8 in.2
Solve the system.
187)
2x + 10y + 10z =40
x + 5y + 5z = –10
x + y + z = –4
187)
A)
No solution
B)
(–4, 2, –5)
C)
(–5, 2, –4)
D)
(–4, –5, 2)
Solve the problem.
188)
Determine whether the ordered triple (–3, –1, 4) is a solution of the system of equations.
2x – 2y – 3z = –16
4x – 3y + 3z = 3
x + y – 5z = –24
188)
A)
No
B)
Yes
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
189)
A sphere has a 8ft diameter. What is its volume?
189)
A)
67.0 ft3
B)
267.9 ft3
C)
150.7 ft3
D)
2143.6 ft3
Solve the system using matrices.
190)
3x + 6y =6
4x + 7y =5
190)
A)
(–4, –3)
B)
No solution
C)
(–4, 3)
D)
(3, –4)
Solve the problem.
191)
If a circular pond is 73 ft across, how long a line must a fisherman have to be able to cast to the
center of the pond? Round to the nearest hundredth when necessary.
191)
A)
229.22 ft
B)
18.25 ft
C)
73 ft
D)
36.5 ft
37
Find the perimeter or circumference.
192)
A pentagon, five–sided polygon, with equal sides 2ft
192)
A)
8ft
B)
20 ft
C)
10 ft
D)
Not enough information to solve
Solve the system.
193)
5x + y =6
5x – z =3
y + z =3
193)
A)
(3, 3, 0)
B)
No solution
C)
(0, 6, –3)
D)
Infinitely many solutions
Solve, rewrite in interval notation, and graph.
194)
4x – 10 18 and 2x – 1 > 11
194)
A)
(6, 7]
B)
(–
, 7]
C)
[6, 7)
D)
(–
, 6) [7,
)
Find area of circle. (Use 3.14 for )
195)
Find the area. Use 3.14 for .
23 in.
195)
A)
1661.06 in.2
B)
72.22 in.2
C)
415.265 in.2
D)
144.44 in.2
Solve the problem.
196)
Determine whether (–2, –1, 1) is a solution of the system
x + y + z = –2
x – y + 2z = 1
4x + y + z = –8
196)
A)
Yes
B)
No
38
Solve the system of equations.
197)
x + y + z = 3
x – y + 5z =19
5x + y + z =23
197)
A)
(2, 5, –4)
B)
No solution
C)
(5, –4, 2)
D)
(2, –4, 5)
Solve the system.
198)
x – y +2z =1
–3x + 3y – 6z =2
x + 5y + z = –13
198)
A)
No solution
B)
(2, 0, –3)
C)
(0, –3, 2)
D)
(2, –3, 0)
Find the missing length to the nearest tenth.
199)
5cm c
10 cm
199)
A)
c =11.2 cm
B)
c =62.5 cm
C)
c =5.9 cm
D)
c =125cm
Solve the equation.
200)
2s + 5 = s – 4
200)
A)
– 9
B)
No solution
C)
– 9, –1
3
D)
9, 1
3
Find area of figure. Round to the nearest hundredth if necessary.
201)
Of a trapezoid with short base of 22 ft, long base of 23 ft, and height of 28 ft
201)
A)
630ft2
B)
1260 ft2
C)
253ft2
D)
322ft2
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
202)
b = 12 cm, c = 15 cm
202)
A)
a = 10 cm
B)
a = 3 cm
C)
a = 9 cm
D)
a = 81 cm
39
Solve the inequality and graph the solution set.
203)
x >4
203)
A)
x> –4 ; (–4,
)
B)
x< –4 or x>4 ; (–
, –4) (4,
)
C)
x>4 ; (4,
)
D)
–4<x<4 ; (–4, 4)
Evaluate the determinant.
204)
–3 2 1
3 5 5
3–2–4
204)
A)
63
B)
–63
C)
3
D)
105
Find area of figure. Round to the nearest hundredth if necessary.
205)
8 ft
7 ft
16 ft
205)
A)
84 ft2
B)
64 ft2
C)
168ft2
D)
31 ft2
Solve the system.
206)
x + y – 2z = 8
3x + z = –6
2x – y + 3z = –14
206)
A)
Infinitely many solutions
B)
No solution
C)
(1, 1, –2)
D)
(–1, –2, 2)
Solve the problem.
207)
Determine whether (0, 1, –1) is a solution of the system
x – y + 5z = –6
3x + z = –1
x + 2y + z = 1
207)
A)
Yes
B)
No
40
208)
What will it cost to buy ceiling molding to go around a rectangular room with length 18 ft and
width 8 ft? The molding costs $1.89 per linear foot.
208)
A)
$68.04
B)
$98.28
C)
$30.24
D)
$49.14
Find the volume.
209)
Of a box 2.1 cm ×6.2 cm ×7.1 cm
209)
A)
92.442 cm3
B)
80.724 cm3
C)
31.311 cm3
D)
312.542 cm3
Solve the equation.
210)
2x – 4 = – x + 2
210)
A)
6, 2
3
B)
No solution
C)
– 6, –2
3
D)
6
Solve the system using matrices.
211)
x – y + 4z = 8
4x + z =1
x + 5y + z = –19
211)
A)
(1, 0, –4)
B)
(1, –4, 0)
C)
(0, –4, 1)
D)
No solution
Find the measure of the requested angle.
212)
In parallelogram ABCD,
A =49°,
B 
A. Find the measure of
B.
212)
A)
41°
B)
131°
C)
262°
D)
311°
Find the perimeter. Use 3.14 for when needed.
213)
7 yd 7 yd
7yd
213)
A)
21.98 yd
B)
32.97 yd
C)
57.96 yd
D)
42.98 yd
Solve the system of equations.
214)
2x + 4y + z = 10
3x – 5y – z = –23
4x + y + 5z = 5
214)
A)
(–2, 2, 3)
B)
(2, 3, –2)
C)
(–2, 3, 2)
D)
No solution
41
Rewrite the inequality using interval notation. Then graph the inequality.
215)
x 0.5 or x >4
215)
A)
[0.5,
)
B)
(–
, 4)
C)
{4}
D)
(–
, 0.5]
(4,
)
Find area of figure. Round to the nearest hundredth if necessary.
216)
A triangle whose base is 12 m and height is 6 m
216)
A)
180m2
B)
36 m2
C)
18 m
D)
72 m2
Find the circumference of the circle. Use 3.14 for .
217)
36 yd
217)
A)
1017.36 yd
B)
113.04 yd
C)
56.52 yd
D)
226.08 yd
Find area of figure. Round to the nearest hundredth if necessary.
218)
Find the area of a square measuring 87 km on a side.
218)
A)
348km2
B)
174km2
C)
15,138 km2
D)
7569 km2
Solve the system of equations.
219)
7x – y – 8z = –19
3x + 8y + 5z =93
–5x – 2y + z = –35
219)
A)
(7, 8, 4)
B)
(–7, 4, 14)
C)
(7, 4, 8)
D)
No solution
Solve the equation.
220)
6m + 2 =4
220)
A)
–1
3, 1
B)
1, –3
C)
No Solution
D)
1
3, –1
42
Find area of circle. (Use 3.14 for )
221)
Find the area. Use 3.14 for .
23 yd
221)
A)
144.44 yd2
B)
288.88 yd2
C)
6644.24 yd2
D)
1661.06 yd2
Solve the system using matrices.
222)
x + 5y =5
9x – 2y = –2
222)
A)
(0, 1)
B)
(1, 0)
C)
(0, 0)
D)
(1, 1)
Solve, rewrite in interval notation, and graph.
223)
n
2+712 or 5–2n
3>4
223)
A)
 , 3
2 [10,
)
B)
 , 3
2 (10,
)
C)
( , 2] [10,
)
D)
( , 2) [10,
)
Solve the system of equations.
224)
5x – 4y + 10z =5
10x + 2y – 15z =17
15x – 2y + 10z =4
224)
A)
–3
5, 7
5, 6
5
B)
3
5, –7
2, –6
5
C)
7
5, –3, –6
2
D)
7
3, 3
5, –6
5
43
Solve the inequality and graph the solution set.
225)
7– x 3
225)
A)
x4 or x10 ; (–
, 4] [10,
)
B)
4 x 10 ; [4, 10]
C)
x10 ; [10,
)
D)
x4 ; [4,
)
Approximate the square root. Round to the nearest tenth, if needed.
226)
57
226)
A)
8.5
B)
7.4
C)
7.5
D)
7.6
Find area of figure. Round to the nearest hundredth if necessary.
227)
2.3 m
5.7 m
227)
A)
26.22 m2
B)
16.0 m2
C)
8.0 m2
D)
13.11 m2
Solve using Cramer’s rule.
228)
–2x – 7y – z = –77
x – 6y – 5z = –91
–6x + y + z = –1
228)
A)
(9, 8, 9)
B)
(3, –9, –8)
C)
(3, 9, 8)
D)
(4, 7, 8)
Find the circumference of the circle. Use 3.14 for .
229)
1.65 ft
229)
A)
5.181 ft
B)
20.724 ft
C)
10.362 ft
D)
34.195 ft
44
Evaluate the determinant.
230)
877
533
864
230)
A)
–314
B)
926
C)
–22
D)
22
Solve the system of equations.
231)
–4x +2y – z = –1
x – 4y + 2z = –19
6x + y + z =28
231)
A)
(3, 7, 3)
B)
(3, 3, 7)
C)
No solution
D)
(–3, 7, 6)
Find area of figure. Round to the nearest hundredth if necessary.
232)
Of a parallelogram with a base of 9cm and a height of 18 cm
232)
A)
324cm2
B)
162cm2
C)
81 cm2
D)
160cm2
Use synthetic division to find the quotient.
233)
(2x3+ x2– 4x + 2) ÷ (x + 4)
233)
A)
2x2– 7x + 24
B)
2x2– 7x – 24 +– 94
x + 4
C)
2x2– 7x + 24 +– 94
x + 4
D)
2x2– 7x – 24
Solve the problem. If necessary, round to the nearest tenth.
234)
Below is a diagram of a water slide. How far is it along the ground from the end of the slide back to
the base of the ladder that leads to the slide?
26 ft
11 ft
?
234)
A)
28.2 ft
B)
3.9 ft
C)
277.5 ft
D)
23.6 ft
45
Solve, rewrite in interval notation, and graph.
235)
–12 <5x + 8 and 8x + 1 <1
235)
A)
(–4, 0)
B)
[–4, 0)
C)
[–4, 0]
D)
(–4, 0]
Solve the inequality and graph the solution set.
236)
m + 4 < 0
236)
A)
m < –4 ; (–
, –4)
B)
m >4 ; (4,
)
C)
No solution
D)
4< m < –4 ; (4, –4)
Solve the system of equations.
237)
5x + 2y + z = –11
2x – 3y – z = 17
7x + y + 2z = –4
237)
A)
(3, 0, –4)
B)
(–3, 0, 4)
C)
(0, –6, 1)
D)
(0, 6, –1)
Find the volume.
238)
Of a box 7.3 ft ×5ft ×8ft
238)
A)
182.5 ft3
B)
426.3 ft3
C)
320ft3
D)
292ft3
46
Solve the problem.
239)
A small farm field is a square measuring 270 ft on a side. What is the perimeter of the field? If you
double the length of each side of the field, what is the new perimeter?
239)
A)
540 ft, 2160 ft
B)
270 ft, 1080 ft
C)
540 ft, 1080 ft
D)
1080 ft, 2160 ft
Find the measure of the missing angle(s).
240)
33°
x
240)
A)
52°
B)
67°
C)
47°
D)
57°
Rewrite the inequality using interval notation. Then graph the inequality.
241)
2 x <6
241)
A)
[2, 6]
B)
(2, 6)
C)
[2, 6)
D)
(2, 6]
Solve area problem.
242)
Find the total area of the roof of the garage.
9 ft
12 ft
242)
A)
216ft2
B)
324ft2
C)
42 ft2
D)
108ft2
47
Solve the system using matrices.
243)
x – 5y = –4
x + 8y = –4
243)
A)
(0, 4)
B)
(–4, 0)
C)
(0, –4)
D)
(4, 0)
The two triangles below are similar. Find the length of any missing side.
244)
12 15
4 5
6
244)
A)
x =18
B)
x =24
C)
x =20
D)
x =6
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
245)
16 m
19 m
245)
A)
954.56 m3
B)
4534.16 m3
C)
18,136.64 m3
D)
477.28 m3
Find the measure of the requested angle.
246)
Find the complement of 18°.
246)
A)
342°
B)
72°
C)
162°
D)
252°
Find the distance between the points on a number line.
247)
–8 and –15
247)
A)
23
B)
–7
C)
7
D)
–23
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
248)
7 m
17 m
248)
A)
2615.62 m3
B)
186.83 m3
C)
373.66 m3
D)
653.905 m3
48
Find area of figure. Round to the nearest hundredth if necessary.
249)
23.0 cm
36.0 cm
(Use 3.1 4 for .)
249)
A)
900.22 cm2
B)
1243.27 cm2
C)
Not enough data
D)
1035.63 cm2
Find area of circle. (Use 3.14 for )
250)
Find the area. Use 3.14 for .
44 yd
250)
A)
1519.76 yd2
B)
138.16 yd2
C)
276.32 yd2
D)
6079.04 yd2
Solve the system using matrices.
251)
x – y + 4z = –8
x + 5y + z = –23
0.2x + 0.1z = –0.3
251)
A)
No solution
B)
(–3, 0, –4)
C)
(–3, –4, 0)
D)
(0, –4, –3)
Evaluate the determinant.
252)
544
302
415
252)
A)
26
B)
–26
C)
–90
D)
114
Find the volume.
253)
10 m
10 m10 m
253)
A)
200m3
B)
1000 m3
C)
100m3
D)
30 m3
Evaluate the determinant.
254)
010
7 0
254)
A)
70
B)
17
C)
0
D)
–70
49
Solve area problem.
255)
A one–story building is 470 ft by 350 ft. If a square patio with sides 21 ft occupies the center of the
building, how much area remains for offices?
255)
A)
1556 ft2
B)
164,059 ft2
C)
1640 ft2
D)
1619 ft2
Find the missing length to the nearest tenth.
256)
9km 15 km
b
256)
A)
b =15.0 km
B)
b =12.0 km
C)
b =14.0 km
D)
b =10.5 km
Find area of circle. (Use 3.14 for )
257)
A circle whose diameter is 16 ft
257)
A)
200.96 ft2
B)
50.24 ft2
C)
803.84 ft2
D)
25.12 ft2
Find area of figure. Round to the nearest hundredth if necessary.
258)
10
14 7 m
5
258)
A)
91 m2
B)
115m2
C)
105m2
D)
119m2
259)
27 in.
16 in.
39 in.
(Use 3.1 4 for .)
259)
A)
724.48 in.2
B)
628.48 in.2
C)
728.96 in.2
D)
Not enough data
Approximate the square root. Round to the nearest tenth, if needed.
260)
6561
260)
A)
81
B)
86
C)
3280.5
D)
810
Evaluate the determinant.
261)
121
313
215
261)
A)
55
B)
–39
C)
–15
D)
15
50
Solve the problem.
262)
A farmer’s field is a square 117 yd on each side. What is the radius of the largest crop circle which
can be made in the field? Round to the nearest hundredth when necessary.
262)
A)
58.5 ft
B)
29.25 ft
C)
234 yd
D)
117 yd
Solve.
263)
8<4x 32
263)
A)
2< x 8
B)
–2x< –8
C)
–2< x –8
D)
2x<8
Solve using Cramer’s rule.
264)
–2x + 3y =6
4x + 3y =60
264)
A)
(8, 9)
B)
(–9, –8)
C)
(–8, 9)
D)
(9, 8)
Find the measure of the requested angle.
265)
In
ABC,
A =87°,
B =31°. Find the measure of
C.
265)
A)
56°
B)
62°
C)
–28°
D)
242°
Find the measure of the missing angle(s).
266)
x y
126
266)
A)
x =136°y =44°
B)
x =54° y =126°
C)
x =36° y =144°
D)
x =126° y =54°
Find the missing length to the nearest tenth.
267)
6cm 9cm
b
267)
A)
b =22.5 cm
B)
b =1.7 cm
C)
b =10.8 cm
D)
b =6.7 cm
Find the square root.
268)
289
268)
A)
289
B)
144.5
C)
17
D)
34
Solve the problem.
269)
The opening in the top of a recycle bin is in the shape of a trapezoid. The measure of each of the
lower angles is 79°. Find the measure of each of the top angles, which are also equal to each other.
269)
A)
101°
B)
59°
C)
11°
D)
169°
51
Solve the system of equations.
270)
9x – 9y – 6z = –11
6x + 3y – 3z = 1
x – y + 2z = –3
270)
A)
–2
3, 1, –2
3
B)
1
9, 0, 2
C)
2
3, 1, –2
3
D)
–2
3, –2
3, 1
Find the perimeter. Use 3.14 for when needed.
271)
15 ft
15 ft
271)
A)
77.1 ft
B)
53.55 ft
C)
23.55 ft
D)
47.1 ft
Solve the equation.
272)
2 x = –2.1
272)
A)
441
B)
2.1
C)
No solution
D)
–2.1
Solve the problem.
273)
A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a
radius of 9 ft. How far does the skater go in tracing the figure eight?
(Use 3.14 for .)
273)
A)
26.26 ft
B)
28.26 ft
C)
56.52 ft
D)
113.04 ft
Solve the inequality and graph the solution set.
274)
2x + 1 <5
274)
A)
x < – 3 or x >2 ; –
, – 3 2,
B)
x < – 3 ; –
, – 3
C)
– 3 < x <2 ; – 3, 2
D)
x<2 ; (–
, 2)
52
Rewrite the inequality using interval notation. Then graph the inequality.
275)
–1 < x < 3.5
275)
A)
[–1, 3.5]
B)
[–1, 3)
C)
(–1, 3.5)
D)
(–1, 3]
Solve the problem.
276)
Determine whether (–3, –4, 4) is a solution of the system
5x + 5y + z = –31
4x – 4y – z = 0
4x + y + 2z = –8
276)
A)
No
B)
Yes
Solve the equation.
277)
1
2n + 2 =3
4n – 2
277)
A)
0
B)
16, 12
C)
No solution
D)
16, 0
Solve area problem.
278)
A rectangular sheet of paper is 51 in. by 36 in. An area in the shape of a parallelogram with a height
of 15 in. and a base of 30 in. is cut from the paper. How much paper is left over?
278)
A)
441in2
B)
2286 in2
C)
1611 in2
D)
1386 in2
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
279)
a = 6 in., b = 8 in.
279)
A)
c = 100 in.
B)
c = 14 in.
C)
c = 48 in.
D)
c = 10 in.
Solve using Cramer’s rule.
280)
6x + 6y = –6
5x + y = –13
280)
A)
(–3, 2)
B)
(2, –3)
C)
(3, –2)
D)
(–2, –3)
53
Rewrite the inequality using interval notation. Then graph the inequality.
281)
–3
x 1
281)
A)
(–3, 1]
B)
[–3, 1)
C)
[–3, 1]
D)
(–3, 1)
Find area of figure. Round to the nearest hundredth if necessary.
282)
10 m
17 m
282)
A)
340m2
B)
54 m2
C)
170m2
D)
27 m2
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
283)
The interior of a one story office building measures 65 ft by 130 ft and has 10 ft ceilings. If 20% of
the space is devoted to hallways, how many 2,000 ft3 offices can it contain? Do not include partial
offices.
283)
A)
67,600 offices
B)
33 offices
C)
42 offices
D)
Not enough information to solve.
Solve the system of equations.
284)
x + 3y + 4z = –23
4y + 4z = –24
z = –4
284)
A)
(–1, –4, –2)
B)
(–1, –2, –4)
C)
(–4, –2, –1)
D)
No solution
Solve the equation.
285)
b – 6 =7
285)
A)
13
B)
No Solution
C)
13, –1
D)
–13, 1
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
286)
A sphere with radius 4.5 ft.
286)
A)
3052.08 ft3
B)
381.51 ft3
C)
214.599 ft3
D)
84.78 ft3
54
Solve the system using matrices.
287)
x + y =2
2x + y =7
y +2z = –11
287)
A)
(–1, –3, –10)
B)
(5, 3, –4)
C)
(10, –3, –8)
D)
(5, –3, –4)
Use synthetic division to find the quotient.
288)
x4– 4x3– 10x2– 10x – 12
x – 6
288)
A)
x3+ 2x2+ 4x
B)
x3+ 2x2+ 4x + 4
C)
x3+ 3x2+ 2x – 2
D)
x3+ 2x2+ 2x + 2
Use a proportion to solve the problem. Round to the nearest tenth as needed.
289)
A tree casts a shadow 16 m long. At the same time, the shadow cast by a 69–cm tall statue is 68 cm
long. Find the height of the tree.
289)
A)
16.2 m
B)
14.7 m
C)
15.8 m
D)
14.3 m
Find the shaded area.
290)
20 cm
10 cm
(Use 3.1 4 for .)
290)
A)
78.5 cm2
B)
25 cm2
C)
235.5 cm2
D)
314cm2
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
291)
b =5 yd, c =10 yd
291)
A)
a 3.9 yd
B)
a =5 yd
C)
a 8.7 yd
D)
a 7.1 yd
Evaluate the determinant.
292)
–1 2
2–1
292)
A)
3
B)
0
C)
–3
D)
5
55
Solve the problem. If necessary, round to the nearest tenth.
293)
A boat travels 2 mi south and then 10 mi east. How far is the boat from its starting point?
A =2 mi B =10
293)
A)
3.5 mi
B)
10.2 mi
C)
52 mi
D)
3.7 mi
Solve the equation.
294)
9s – 1 = s – 9
294)
A)
1, –5
4
B)
No solution
C)
– 1, 7
8
D)
– 1, 1
295)
x +8–3=11
295)
A)
–22, 6
B)
–6, 6
C)
16, 6
D)
0, 6
Find the perimeter. Use 3.14 for when needed.
296)
16 in. 3in.
9in. 4in.
296)
A)
84 in.
B)
60 in.
C)
44 in.
D)
56 in.
Find the measure of the missing angle(s).
297)
105°
75°
parallelogram
297)
A)
A = –15°, B =195°
B)
A =75°, B =105°
C)
A =105°, B =75°
D)
A =255°, B =285°
Find the volume of the composite figure. Round to the nearest hundredth if necessary.
298)
Cube and rectangular solid
2 in. 6 in.
298)
A)
24 in.3
B)
32 in.3
C)
16 in.3
D)
8in.3
56
Solve the system of equations.
299)
7x + 7y + z = 1
x + 8y + 8z = 8
9x + y + 9z = 9
299)
A)
(1, –1, 1)
B)
(0, 1, 0)
C)
(–1, 1, 1)
D)
(0, 0, 1)
Solve area problem.
300)
A rubber ice–hockey puck has a 3.1 in. diameter. What is the area of one flat surface?
(Use 3.1 4 for .)
300)
A)
30.1754 in.2
B)
7.54385 in.2
C)
3.771925 in.2
D)
9.734 in.2
Solve the system of equations.
301)
3x – 4y = –3
6x + 2z = – 7
2
2y – 4z = 4
301)
A)
No solution
B)
–1
3, 1
2, –3
4
C)
–1
3, 1
2, 3
4
D)
3, 3, 1
2
Solve using Cramer’s rule.
302)
2x + 3y =33
3x – 3y = –18
302)
A)
(9, 3)
B)
(3, 9)
C)
(–9, 3)
D)
(–3, –9)
Solve the equation.
303)
n – 6 =2– n
303)
A)
No solution
B)
– 2
C)
8
D)
4
Find area of figure. Round to the nearest hundredth if necessary.
304)
Find the area of a rectangle measuring 121
3 mi by 32
3 mi.
304)
A)
452
9mi2
B)
32 mi2
C)
362
9mi2
D)
16 mi2
Find the measure of the missing angle(s).
305)
a =44
305)
A)
126°
B)
136°
C)
146°
D)
131°
57
Find the perimeter or circumference.
306)
32 m
14 m 14 m
26 m
306)
A)
364 m
B)
32 m
C)
86 m
D)
46 m
Find area of figure. Round to the nearest hundredth if necessary.
307)
13 yd
All segments are of equal length
307)
A)
845yd2
B)
676yd2
C)
156yd2
D)
507yd2
Find the distance between the points on a number line.
308)
29
14 and –1
2
308)
A)
18
7
B)
7
11
C)
11
7
D)
7
18
Solve, rewrite in interval notation, and graph.
309)
3x – 10 –4 and 3x – 10 8
309)
A)
[2, 6)
B)
(2, 6)
C)
[2, 6]
D)
(2, 6]
58
Find the measure of the missing angle(s).
310)
a =64
310)
A)
16°
B)
36°
C)
26°
D)
21°
Find area of circle. (Use 3.14 for )
311)
Find the area of the circle. Use 3.14 for .
5.7 cm
311)
A)
17.898 cm2
B)
35.796 cm2
C)
25.50465 cm2
D)
102.0186 cm2
Evaluate the determinant.
312)
9 0 0
1–9 0
–9 5 5
312)
A)
–405
B)
405
C)
400
D)
–410
Solve the problem.
313)
A circular fountain has a statue in its center, 6 m from the edge. What is the distance around the
fountain?
(Use 3.14 for .)
313)
A)
37.68 m
B)
36 m
C)
35.68 m
D)
18.84 m
Evaluate the determinant.
314)
554
512
442
314)
A)
–56
B)
–24
C)
236
D)
24
Find the perimeter. Use 3.14 for when needed.
315)
8 cm 8 cm
20 cm
20 cm
315)
A)
76 cm
B)
56 cm
C)
96 cm
D)
416 cm
59
Solve the problem.
316)
You wish to make a triangular garden. One of the angles is 33°. The second angle is
complementary to the first angle. What is the measure of the third angle?
316)
A)
114°
B)
57°
C)
45°
D)
90°
Solve the system using matrices.
317)
x – y + 3z = –8
x + 5y + z = 40
5x + y + 13z = 10
317)
A)
(8, 0, 8)
B)
Infinitely many solutions
C)
(8, 8, 0)
D)
No solution
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
318)
A cylindrical flower vase is 7 in. across the top and about 12 in. high. How many cubic inches of
water could it hold?
318)
A)
527.5 in.3
B)
461.6 in.3
C)
1846.3 in.3
D)
923.2 in.3
Solve.
319)
–12 –2z – 2 –6
319)
A)
2 z 5
B)
–5< z < –2
C)
2< z <5
D)
–5
z –2
Find the measure of the requested angle.
320)
In an equilateral triangle, what is the measure of each angle.
320)
A)
45°
B)
30°
C)
60°
D)
90°
Solve the system using matrices.
321)
4x – 7y = 2
16x – 28y = –7
321)
A)
Infinitely many solutions
B)
No solution
C)
(2, –7)
D)
(4, 4)
60
Solve the inequality and graph the solution set.
322)
3x – 9 5
322)
A)
x–14
3 or x–4
3 ; –
, –14
3–4
3,
B)
x4
3 or x14
3 ; –
, 4
314
3,
C)
x 14
3 ; 14
3,
D)
4
3 x 14
3 ; 4
3, 14
3
Determine between which two consecutive whole numbers each square root lies.
323)
202
323)
A)
14 and 15
B)
15 and 16
C)
13 and 14
D)
10 and 11
Find the perimeter or circumference.
324)
10 mi
12 mi 12 mi
10 mi
324)
A)
4mi
B)
22 mi
C)
44 mi
D)
40 mi
Find the measure of the missing angle(s).
325)
48°
66° x
325)
A)
48°
B)
114°
C)
24
D)
66°
61
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
326)
r =42 ft
326)
A)
310,181.76 ft3
B)
22,155.84 ft3
C)
22,175.44 ft3
D)
310,456.16 ft3
Find the square root.
327)
6400
327)
A)
160
B)
80
C)
40
D)
6400
Use synthetic division to find the quotient.
328)
x3– x2+ 7
x + 2
328)
A)
x2– 2x + 6 +6
x + 2
B)
x2– 3x + 6 +–5
x + 2
C)
x2+ 3x + 6 +–5
x + 2
D)
x2– 3x + 6 +6
x + 2
Evaluate the determinant.
329)
3–3 5
0 9 5
0 0 –6
329)
A)
–162
B)
–177
C)
147
D)
162
Find the volume.
330)
Of a cube measuring 5ft on each edge
330)
A)
50 ft3
B)
125ft3
C)
15 ft3
D)
25 ft3
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
331)
A certain marine engine has cylinders that are 4.45 inches in diameter and 5.14 inches deep. Find
the total volume of 6 cylinders.
331)
A)
79.9 inches3
B)
479.4 inches3
C)
958.8 inches3
D)
861.9 inches3
62
Solve the inequality and graph the solution set.
332)
r – 8 >3
332)
A)
r>11 ; (11,
)
B)
No solution
C)
r<5 or r>11 ; (–
, 5) (11,
)
D)
5<r<11 ; (5, 11)
Solve the system using matrices.
333)
6x – 6y = –30
24x – 24y = –120
333)
A)
(0, 5)
B)
(1, 6)
C)
Infinitely many solutions
D)
No solution
Find the volume of the sphere or the cylinder. Use = 3.14 when needed. Round to the nearest thousandth if necessary.
334)
A sphere with radius 0.55 cm.
334)
A)
0.392 cm3
B)
1.266 cm3
C)
5.572 cm3
D)
0.697 cm3
335)
r =58.5 cm
335)
A)
43,021.485 cm3
B)
42,983.46 cm3
C)
838,177.47 cm3
D)
838,918.958 cm3
Solve the problem. Use 3.14 as the approximate value of . Round to the nearest tenth unless instructed otherwise.
336)
The foundation for a cylindrical water tank is a cylinder 15 in in diameter and 5in high. How many
cubic in of concrete are needed to build the foundation?
336)
A)
3532.5 in3
B)
883.1 in3
C)
1766.3 in3
D)
471.0 in3
63
Find the distance between the points on a number line.
337)
–12 and 20
337)
A)
–8
B)
–32
C)
32
D)
8
Use synthetic division to find the quotient.
338)
(–6x3+ 2x2+ 5x – 10) ÷ (x – 2)
338)
A)
–6x2– 10x – 15 +–25
x – 2
B)
–6x2– 10x – 25 +–40
x – 2
C)
–6x2– 10x – 5 +–10
x – 2
D)
–6x2– 10x – 15 +–40
x – 2
Solve the inequality and graph the solution set.
339)
|2y – 3| > –4
339)
A)
–1
2< y <7
2 ; –1
2, 7
2
B)
All real numbers ; (–
,
)
C)
No solution
D)
y > – 1
2 ; –1
2,
Find the shaded area.
340)
18 cm 6cm
9cm
30 cm
340)
A)
54 cm2
B)
486cm2
C)
540cm2
D)
252cm2
64
341)
3ft
9ft
Two squares
341)
A)
72 ft2
B)
12 ft2
C)
75 ft2
D)
81 ft2
Solve the problem. If necessary, round to the nearest tenth.
342)
A painter leans a ladder against one wall of a house. At what height does the ladder touch the
wall?
22 ft
?
19 ft
342)
A)
29.1 ft
B)
1.7 ft
C)
11.1 ft
D)
61.5 ft
Determine between which two consecutive whole numbers each square root lies.
343)
230
343)
A)
20 and 21
B)
14 and 15
C)
15 and 16
D)
11 and 12
Solve the system using matrices.
344)
–5x – 7y– z = –101
x – 8y – 4z = –77
–2x + y + z = –2
344)
A)
No solution
B)
(7, 9, 3)
C)
(7, 3, 9)
D)
(–7, 9, 14)
Use synthetic division to find the quotient.
345)
x3– 1
x – 1
345)
A)
x2+ x + 1 +1
x – 1
B)
x3+x2+ x + 1
C)
x2+ x + 1
D)
x3+x2+ x + 1 +1
x – 1
65
Rewrite the inequality using interval notation. Then graph the inequality.
346)
0 < x < 5
346)
A)
[0, 5]
B)
[0, 5)
C)
(0, 5)
D)
(0, 5]
Find the perimeter. Use 3.14 for when needed.
347)
8 m
4 m
347)
A)
28.56 m
B)
24.56 m
C)
41.12 m
D)
36.56 m
Solve the problem. If necessary, round to the nearest tenth.
348)
The diagram below shows a rope connecting the top of a pole to the ground. How tall is the pole?
26 yd
?
17 yd
348)
A)
193.5 yd
B)
31.1 yd
C)
19.7 yd
D)
3.0 yd
Find the circumference of the circle. Use 3.14 for .
349)
21 mi
349)
A)
5538.96 mi
B)
131.88 mi
C)
65.94 mi
D)
263.76 mi
66
Find the perimeter. Use 3.14 for when needed.
350)
13 cm
13 cm
350)
A)
81.64 cm
B)
133.64 cm
C)
107.64 cm
D)
40.82 cm
Solve the equation.
351)
n – 9 =3– n
351)
A)
6
B)
12
C)
No solution
D)
– 3
Evaluate the determinant.
352)
–9 4
0 2
352)
A)
–22
B)
–18
C)
18
D)
–36
Solve the equation.
353)
5s + 7 = s + 5
353)
A)
1
2, 2
B)
–1
2
C)
No solution
D)
–1
2, – 2
Solve area problem.
354)
A yard in the shape of a square measures 14 ft on each side. A triangular area with a height of 6 ft
and a base of 7 ft is dug up for a flower bed. How much yard area is left over?
354)
A)
154ft2
B)
175ft2
C)
77 ft2
D)
217ft2
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to
the nearest tenth if necessary.
355)
a = 1 ft, c =30 ft
355)
A)
b 5.4 ft
B)
b =29 ft
C)
b 31 ft
D)
b 30.0 ft
Solve the system using matrices.
356)
x + 7y = –2
3x + y = 34
356)
A)
(–2, 3)
B)
(3, 7)
C)
(12, –2)
D)
(7, 12)
67
Find the shaded area.
357)
14 ft
(Use 3.1 4 for .)
357)
A)
49 ft2
B)
196ft2
C)
153.86 ft2
D)
42.14 ft2
Find the volume.
358)
2 ft 61
3 ft
101
2 ft
358)
A)
185
6ft3
B)
1201
6ft3
C)
661
2ft3
D)
133ft3
Solve, rewrite in interval notation, and graph.
359)
–7x + 1 15 or 5x + 3 –17
359)
A)
[–4,
)
B)
(–
,
)
C)
[–4, –2]
D)
[–2,
)
Solve the system of equations.
360)
–4x – y – 7z = –21
3x + 8z =14
4y + z =25
360)
A)
(2, 6, 1)
B)
(–2, 6, 4)
C)
(2, 1, 6)
D)
No solution
68
Find area of figure. Round to the nearest hundredth if necessary.
361)
6 in.
12 in.
361)
A)
144in.2
B)
36 in.2
C)
72 in.2
D)
18 in.2
Approximate the square root. Round to the nearest tenth, if needed.
362)
217
362)
A)
14.5
B)
14.6
C)
14.7
D)
14.8
Solve the system of equations.
363)
x – y + 2z = –6
5x + z = –4
x + 2y + z = –8
363)
A)
No solution
B)
(–4, –2, 0)
C)
(0, –2, –4)
D)
(–4, 0, –2)
Solve the problem.
364)
In a computer game, you are facing a door. If you turn right 70°, you face a window. The
instructions say the angle between the door and the window, plus the angle between the window
and the treasure, are supplementary angles. How many degrees more must you turn right to face
the treasure?
364)
A)
140°
B)
70°
C)
20°
D)
110°
Solve the system using matrices.
365)
7x – y – 7z = –22
4x + 7y + 2z =25
–8x – 6y + z = –17
365)
A)
No solution
B)
(2, 1, 5)
C)
(2, 5, 1)
D)
(–2, 1, 4)
Find the perimeter or circumference. Use
3.14 when needed.
366)
13 yd
equilateral triangle
366)
A)
38 yd
B)
84.5 yd
C)
26 yd
D)
39 yd
69
Find area of figure. Round to the nearest hundredth if necessary.
367)
17 3 m
11 4
367)
A)
78 m2
B)
95 m2
C)
87 m2
D)
77 m2
Solve the system.
368)
3x + 2y + z = 4
2x – 3y – z = 5
5x + 12y + 5z = 2
368)
A)
(–4, 5, –2)
B)
(4, 5, 2)
C)
No solution
D)
Infinitely many solutions
Solve the problem.
369)
Mel plans to fence his yard for his new puppy. The yard is a 32 ft by 86 ft rectangle. Fencing costs $7
per 10 ft section. What is the cost of the fence not including unused fencing?
369)
A)
$330.40
B)
$165.20
C)
$44.80
D)
$82.60
Rewrite the inequality using interval notation. Then graph the inequality.
370)
–2
x
2
370)
A)
(–2, 2)
B)
[–2, 2)
C)
[–2, 2]
D)
(–2, 2]
Find area of figure. Round to the nearest hundredth if necessary.
371)
8cm
14 cm
371)
A)
112cm2
B)
28 cm2
C)
56 cm2
D)
32 cm2
70
Solve, rewrite in interval notation, and graph.
372)
4x > 4 and x + 5 < 5
372)
A)
(–1, 0)
B)
No solution
C)
(0, 1)
D)
(–1,
)
Find the volume of the composite figure. Round to the nearest hundredth if necessary.
373)
Cube out of rectangular solid
3 ft 6 ft
7 ft
14 ft
373)
A)
615ft3
B)
561ft3
C)
36 ft3
D)
1764 ft3
71
Answer Key
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Answer Key
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Answer Key
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Answer Key
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