Use Heron’s formula to solve the problem.
93)
A triangular dog pen at an animal shelter has sides of length 24 ft, 36 ft, and 52 ft. How much
linoleum tile would be needed to cover this space? Round to the nearest whole number.
24 ft 52 ft
36 ft
93)
A)
51 ft2
B)
379 ft2
C)
6672 ft2
D)
6704 ft2
Rationalize the denominator.
94)
1
15
94)
A)
15
15
B)
15 15
C)
1
15
D)
15
15
Simplify the radical. Assume that all variables represent nonnegative real numbers.
95)
x19
95)
A)
x8x
B)
x9x
C)
x10
D)
x9
Simplify the radical.
96)
154
96)
A)
477
B)
277
C)
Cannot be simplified
D)
77 2
Solve the equation.
97)
x + 8 +4= x
97)
A)
B)
{4}
C)
{1, 8}
D)
{8}
Use the product and quotient rules, as necessary, to simplify the radical expression.
98)
25
4
98)
A)
5
2
B)
5
2
C)
5
2
D)
2
Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
99)
915
b
99)
A)
b =15
B)
b =11
C)
b =14
D)
b =12
Rationalize the denominator.
100)
7
7 2 –7
100)
A)
1
13 ( 2+ 1)
B)
1
13 ( 14 – 1)
C)
1
15 ( 14 + 1)
D)
1
13 ( 14 + 1)
Find the perimeter of the figure.
101)
415
10 15
101)
A)
14 15
B)
28 30
C)
14 30
D)
28 15
Simplify the expression.
102)
5 6 ·2–312
102)
A)
2 2
B)
16 3
C)
8 2
D)
4 3
Simplify.
103)
(9 –3)2
103)
A)
84 –18 3
B)
81 +3
C)
83 +3
D)
84 +18 3
Simplify and add or subtract wherever possible.
104)
245 +648 –4125
104)
A)
–14 5+ 24 3
B)
6 5
C)
96 5+ 10 3
D)
4 5 + 45 3
105)
4 5 – 6 5
105)
A)
–210
B)
–24 10
C)
–2 5
D)
10 5
Find the square root.
106)
0.0036
106)
A)
0.07
B)
0.06
C)
0.6
D)
0.006
Solve the problem.
107)
The radius of the circular top or bottom of a tin can with a surface area S and a height h is given by
r =
–h +h2+ 0.64S
2.
What radius should be used to make a can with a height of 12 inches and a surface area of 400
square inches?
107)
A)
4 inches
B)
6 inches
C)
7 inches
D)
16 inches
Simplify the expression by performing the indicated operations.
108)
8·4–350
108)
A)
8–15 2
B)
16 –15 2
C)
–2
D)
–11 2
Solve the equation.
109)
16 –3y =4–y
109)
A)
{4, –4}
B)
{0, 4}
C)
{0, –4}
D)
{4, 8}
Simplify the radical. Assume that all variables represent nonnegative real numbers.
110)
k10
16
110)
A)
k5
4
B)
k10
4
C)
k5
16
D)
k5
8
Solve the problem.
111)
The distance in miles that can be seen on the surface of the ocean is given by d = 1.4 h where h is
the height in feet above the surface of the water. How many feet above the water (to the nearest
tenth) would a pirate have to climb to see 16 miles?
111)
A)
5.6 ft
B)
130.6 ft
C)
501.8 ft
D)
65.3 ft
Rationalize the denominator. Assume all variables have nonzero values.
112)
3 5
2t
112)
A)
320t2
2t2
B)
320t2
2t
C)
320t
2t
D)
320t2
4t
Solve the equation.
113)
5a – 5 =3a + 8
113)
A)
13
2
B)
2
13
C)
13
8
D)
3
2
23
Rationalize the denominator.
114)
10 +3
10 –3
114)
A)
15 30
7
B)
13 + 2 30
7
C)
7+ 2 30
13
D)
13 +30
7
Find the perimeter of the figure.
115)
Find the perimeter of a lot with sides measuring 2 8, 332, 418, and 327 yards.
115)
A)
28 2+ 9 3 yards
B)
28 + 9 3 yards
C)
37 2 yards
D)
56 + 9 3 yards
Solve the problem.
116)
Write an equivalent statement using the distributive property.
2313 +13 313 =
116)
A)
(26)326
B)
(26)313
C)
(2 +13)313
D)
(2 +13)326
Use the product and quotient rules, as necessary, to simplify the radical expression.
117)
10 120
5 5
117)
A)
430
B)
4 6
C)
24
D)
8 6
Solve the problem.
118)
The time T in seconds for a pendulum of length L feet to make one swing is given by T = 2L
37 .
How long is a pendulum (to nearest hundredth) if it makes one swing in 1.3 seconds? Use 3.14 for
.
118)
A)
15.63 ft
B)
9.96 ft
C)
1.59 ft
D)
62.53 ft
Simplify the radical.
119)
3–64
27
119)
A)
–4
3
B)
4
3
C)
16
9
D)
–64
27
Simplify the expression by performing the indicated operations.
120)
6·3– 5 50
120)
A)
–22 2
B)
9– 25 2
C)
6– 25 2
D)
–2 2
Rationalize the denominator.
121)
5
3
121)
A)
15
9
B)
15
3
C)
8
3
D)
15
3
Find the indicated root. Give a decimal approximation if necessary. Round to the nearest thousandth.
122)
0.00199
122)
A)
4.500
B)
0.005
C)
0.450
D)
0.045
Find the square root.
123)
49
123)
A)
8
B)
Not a real number
C)
24
D)
7
Rationalize the denominator. Assume all variables have nonzero values.
124)
4
3y
124)
A)
43y2
y
B)
4y
C)
43y2
D)
43y
y
Solve the problem.
125)
A rectangle has a length of 257 and a width of 124. What is the best estimate for its area?
125)
A)
204
B)
176
C)
187
D)
192
Use the product rule to simplify the radical.
126)
5·6
126)
A)
11
B)
11
C)
30
D)
30
Solve the equation.
127)
10 – y =8
127)
A)
{54}
B)
{–54}
C)
{4}
D)
Find the square root.
128)
–441
128)
A)
21
B)
–21
C)
220
D)
Not a real number
Find the product and simplify.
129)
22 ·26
129)
A)
286
B)
4143
C)
572
D)
2143
Rationalize the denominator. Assume all variables have nonzero values.
130)
3 3
7
130)
A)
3147
B)
21
7
C)
321
7
D)
3147
7
Solve the equation.
131)
x + 2 +x + 5 = 3
131)
A)
{4}
B)
C)
{–1}
D)
{1}
27
Rationalize the denominator. Assume that all variables represent positive real numbers.
132)
25p7s2
17r
132)
A)
5ps 17pr
17r
B)
5p3s17pr
r
C)
5ps 17p
17r
D)
5p3s17pr
17r
Find the root.
133)
–
327
133)
A)
Not a real number
B)
9
C)
3
D)
–3
D
Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
134)
311
b
134)
A)
b =112; b =56.0
B)
b =130; b 11.402
C)
b =112; b 10.583
D)
b =8; b 2.828
C
Simplify the radical.
135)
3135
135)
A)
15
B)
3
C)
3315
D)
335
D
D
Solve the equation.
136)
r –7=3
136)
A)
{2}
B)
{100}
C)
D)
{16}
137)
2x + 3 –x + 1 = 1
137)
A)
B)
{3}
C)
{3, –1}
D)
{–3, –1}
Perform the indicated operation. Assume that all variables represent nonnegative real numbers.
138)
6a + 3 54a+ 4 24a
138)
A)
18 6a
B)
7 6a
C)
18 84a
D)
784a
Find the root.
139)
3
–512
139)
A)
–8
B)
Not a real number
C)
11.314
D)
22.627
Simplify and add or subtract wherever possible.
140)
72 – 3 50 + 9 200
140)
A)
–50 2
B)
81 2
C)
–33 2
D)
–81 2
29
Rationalize the denominator.
141)
42
7
141)
A)
6
B)
7 6
C)
7
6
D)
6 7
Find the square root.
142)
289
4
142)
A)
72
B)
17
2
C)
9
D)
17
3
Solve the equation.
143)
2 x =3x +6
143)
A)
6
5
B)
6
C)
– 6
D)
6
7
Simplify the radical.
144)
512
144)
A)
17
B)
10 3
C)
12 5
D)
60
Simplify and add or subtract wherever possible.
145)
720 + 8 80 – 10 125
145)
A)
15 5
B)
7 5
C)
–4 5
D)
–15 5
30
Perform the indicated operation. Assume that all variables represent nonnegative real numbers.
146)
15 32y2– 5 3250y2
146)
A)
15 32y2– 5 3250y2
B)
–10 32y2
C)
–10 32
D)
10 32y2
Answer Key
Testname: C16
Answer Key
Testname: C16
Answer Key
Testname: C16
Answer Key
Testname: C16