219)
947x
x3
A)
947
x
B)
947x
x
C)
423
x
D)
9x 47
220)
34x
35y
A)
100x
5y
B)
3100y2
5y
C)
3100y
5y
D)
3500y2
5y
221)
2
7–10
A)
14 + 2 10
3
B)
14 + 2 10
39
C)
14 – 2 10
39
D)
2
7–2
10
222)
7
6+ 5
A)
42 – 5 7
11
B)
42 – 5 7
-19
C)
42 + 5 7
-19
D)
342 + 6 7
30
223)
7–2
7+2
A)
51 + 14 2
47
B)
47 – 14 2
51
C)
51 – 14 2
47
D)
1
224)
5
5 2 –5
A)
10 + 1
11
B)
10 + 1
9
C)
2+ 1
9
D)
10 – 1
9
225)
5–z
4+z
A)
20 –9 z + z
16 – z
B)
20 –z+ z
16 + z
C)
20 –9 z + z
16 + z
D)
20 +9 z – z
16 – z
226)
9+1 x
6+7 x
A)
54 – 57 x–7x
36 –49x
B)
54 + 57 x+7x
36 –49x
C)
6– 57 x–54x
36 +49x
D)
54 – 69 x–7x
36 +49x
227)
4 x
x– 3 y
A)
4x + 12 xy
x +3y
B)
4x + 12 xy
x +9y
C)
4x + 12 xy
x –9y
D)
4x + 12 xy
x –3y
228)
5–4 3
2–5 6
A)
–10 +530 –4 6 –20 18
28
B)
10 +530 –4 6 –20 18
-148
C)
10 –530 –4 6 –20 18
-148
D)
10 –530 –4 6 +20 18
-148
229)
q + 3 =9
A)
84
B)
78
C)
144
D)
81
230)
10q – 9 =9
A)
81
10
B)
9
C)
36
5
D)
81
231)
8q + 9 =9
A)
45
4
B)
81
8
C)
9
D)
81
232)
2k + 1 =11
A)
30
B)
60
C)
-60
D)
120
233)
8x – 1 – 2 = 0
A)
3
8
B)
No solution
C)
4
D)
5
8
234)
4s– 1 + 9 = 0
A)
– 9
B)
– 6561
C)
No solution
D)
6561
235)
x –3=2x – 3
A)
No solution
B)
3
C)
6
D)
6, 2
236)
x + 3 +3= x
A)
1, 6
B)
3
C)
No solution
D)
6
237)
3x + 1 = 3 +x – 4
A)
No solution
B)
–1
C)
5, 8
D)
–5, –8
238)
2x + 3 –x + 1 = 1
A)
–3, –1
B)
3, –1
C)
No solution
D)
3
239)
2x + 5 –x – 2 = 3
A)
2
B)
2, 38
C)
3, 8
D)
–2
240)
3x – 2 +11 + x = – 1
A)
–5
2
B)
0
C)
No solution
D)
5
241)
x + 6 +2 – x = 4
A)
–2
B)
0
C)
2, –2
D)
31, –2
242)
10 + x +11 – 5x = – 1
A)
1
B)
11
2
C)
0
D)
No solution
243)
9a – 4 –5a + 7 = 0
A)
3
4
B)
11
14
C)
4
11
D)
11
4
244)
A manufacturer’s cost is given by C =200 3n+ 200, where C is the cost and n is the number of parts produced.
Find the cost when 512 parts are produced.
A)
$1800
B)
$4726
C)
$1000
D)
$25
245)
A manufacturer’s cost is given by C =300 3n+ 200, where C is the cost and n is the number of parts produced.
How many parts are produced when the cost is $5600?
A)
46,656
B)
5832
C)
324
D)
5400
246)
The distance d in miles that can be seen on the surface of the ocean is given by d =1.8 h, where h is the height
in feet above the surface. How high (to the nearest foot) would a platform have to be to see a distance of 16.5
miles?
A)
272 ft
B)
84 ft
C)
490 ft
D)
92 ft
247)
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 1.9 seconds? Use 3.14 for .
A)
133.57 ft
B)
21.27 ft
C)
33.39 ft
D)
3.39 ft
248)
a =9, b =12
A)
c =8
B)
c =15
C)
c =14
D)
c =11
249)
a =9, c =15
A)
b =12
B)
b =14
C)
b =11
D)
b =15
250)
a =5, c =13
A)
b =9
B)
b =12
C)
b =13
D)
b =14
251)
a =10, b =24
A)
c =18
B)
c =25
C)
c =26
D)
c =22
252)
a =2, b =3
A)
c =3.606
B)
c =5
C)
c =3.162
D)
c =6
253)
a =18, c =23
A)
b =13.964
B)
b =511
C)
b =29.206
D)
b =14.318
254)
a =6, b =5
A)
c =nan
B)
c =5.5
C)
c =8.31
D)
c =7.81
255)
b =3, c =22
A)
a =4.606
B)
a =21.794
C)
a =5.568
D)
a =3.606
256)
On a sunny day, a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 52 m long and
the shadow is 48 m, how tall is the flag pole?
A)
20 m
B)
32 m
C)
71 m
D)
100 m
257)
On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 40 m long and the
tree is 32 m tall, how long is the shadow?
A)
51 m
B)
64 m
C)
72 m
D)
24 m
258)
A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the
driveway. If the building is 24 m high and the driveway is 40 m from the building, how long is the string of
banners?
A)
32.0 m
B)
8.0 m
C)
33.9 m
D)
46.6 m
259)
A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to
the end of the ramp is 22 feet and the height from the ground to the front doors is 6 feet, how long is the ramp?
A)
8.5 ft
B)
5.3 ft
C)
22.8 ft
D)
21.2 ft
260)
On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 32 m long and
the shadow is 22 m, how tall is the building?
A)
21.3 m
B)
10.0 m
C)
23.2 m
D)
38.8 m
261)
One airport has a ramp sloping down from the passenger waiting area to the plane. If the distance from the
waiting area to the plane is 37 feet and the height from the ground to the waiting area is 5 feet, how long is the
ramp?
A)
7.1 ft
B)
6.5 ft
C)
37.3 ft
D)
36.7 ft
262)
Find all ordered pairs on the y–axis of a Cartesian coordinate system that are 13 units from the point (5, 0)
A)
(0, –144), (0, 144)
B)
(0, –12), (0, 12)
C)
(0, 12)
D)
(144, 0)
263)
–4
A)
±2
B)
2i
C)
–2i
D)
–i 2
264)
–225
A)
15i
B)
–15i
C)
±15
D)
–i15
265)
–81
A)
i 9
B)
±9
C)
–9i
D)
9i
D
266)
–900
A)
i30
B)
30i
C)
±30
D)
–30i
B
267)
–112
A)
–4i 7
B)
4i 7
C)
–4 7
D)
4 7
B
268)
–240
A)
4i 15
B)
–415
C)
415
D)
–4i 15
A
269)
–224
A)
–4i 14
B)
–414
C)
4i 14
D)
414
C
270)
– – 270
A)
–3i 30
B)
–330
C)
330
D)
3i 30
A
271)
6– – 45
A)
6–3i 5
B)
6+3i 5
C)
–6+3i
D)
6+3 5
A
272)
–9+ – 18
A)
(3 –3 2)i
B)
3+3i 2
C)
3 2 +3i
D)
(3 +3 2)i
D
273)
(2 – 8i) + (3+ 3i)
A)
–5+ 5i
B)
5– 5i
C)
5+ 5i
D)
-1 + 11i
B
274)
(4 + 6i) – (-3 + i)
A)
–7– 5i
B)
7+ 5i
C)
7– 5i
D)
1+ 7i
B
A
275)
(2 – 2i) + (4+ 7i)
A)
–6– 5i
B)
-2 + 9i
C)
6+ 5i
D)
6– 5i
276)
(5 + 6i) – (-3 + i)
A)
8+ 5i
B)
2+ 7i
C)
–8– 5i
D)
8– 5i
A
277)
-11 ·-14
A)
154i
B)
154
C)
–154i
D)
–154
D
278)
-5i ·-16i
A)
80
B)
-80
C)
80i
D)
-80i
B
279)
5i(9– 4i)
A)
45i – 20i2
B)
45i + 20i2
C)
45i– 20
D)
20 + 45i
D
280)
(9 – 4i)(4+ 6i)
A)
-24i2+ 38i + 36
B)
60 + 38i
C)
60 – 38i
D)
12 – 70i
B
281)
(5 – 8i)(9+ 6i)
A)
93 – 42i
B)
-48i2– 42i + 45
C)
93 + 42i
D)
-3 – 102i
A
282)
(4 – 7i)(4+ 9i)
A)
-63i2+ 8i + 16
B)
79 + 8i
C)
–47 – 64i
D)
79 – 8i
B
283)
(7 + 6i)(2+ 5i)
A)
-16 + 47i
B)
44 – 23i
C)
30i2+ 47i + 14
D)
-16 – 47i
A
284)
(7 + 5i)(9– 7i)
A)
98 – 4i
B)
98 + 4i
C)
-35i2– 4i + 63
D)
28 + 94i
A
285)
(-3 – 16i)(-3 + 16i)
A)
-247
B)
13
C)
-19
D)
265
D
286)
(3 – 8i)2
A)
-55 – 48i
B)
9– 112i
C)
9+ 16i
D)
73 – 48i
C
287)
i4
A)
–1
B)
i
C)
–i
D)
1
288)
i3
A)
1
B)
–i
C)
i
D)
–1
289)
i17
A)
1
B)
i
C)
–1
D)
–i
290)
i14
A)
i
B)
–1
C)
1
D)
–i
291)
(2i)3
A)
-8
B)
-8i
C)
8
D)
8i
292)
17 +58i2
A)
75
B)
17 –58i
C)
-41
D)
17 +58i
293)
22i144 –28
A)
–28 –22i
B)
-50
C)
–28 +22i
D)
-6
294)
87 –74i69
A)
161
B)
87 + 74i
C)
13
D)
87 – 74i
295)
61i9+69i2
A)
-69 – 61i
B)
-8
C)
69 – 61i
D)
-69 + 61i
296)
i470 +i191
A)
1 + i
B)
-1 + i
C)
1 – i
D)
-1 – i
297)
–180 +49i2
A)
–49 –649i
B)
49 +6 5i
C)
–49 +6 5i
D)
–49 +6 5
298)
–49 + 7i5
7
A)
2i
B)
–i
C)
-2i
D)
i
299)
i2+i6
A)
0
B)
2i
C)
2
D)
–2
300)
-14 – 2i
13i
A)
– 2
13 + 14
13 i
B)
2
13 – 14
13 i
C)
2
13 + 14
13 i
D)
– 2
13 – 14
13 i
301)
-3
4+ 9i
A)
– 12
97 + 27
97 i
B)
12
65 – 27
65 i
C)
12
65 + 27
65 i
D)
– 12
97 – 27
97 i
302)
3i
10 + 2i
A)
– 1
16 + 5
16 i
B)
1
16 + 5
16 i
C)
– 3
52 + 15
52 i
D)
3
52 + 15
52 i
303)
9+ 7i
9– 6i
A)
1
45
B)
41 – 3i
C)
41
15 – 1
15 i
D)
1
3+ 1i
304)
4+ 3i
5+ 3i
A)
11
16 – 3
16 i
B)
11
34 – 27
34 i
C)
29
34 + 3
34 i
D)
29
16 – 3
16 i
305)
4– 3i
5+ 2i
A)
2
3+ 23
21 i
B)
26
29 + 7
29 i
C)
26
21 + 23
21 i
D)
14
29 – 23
29 i
306)
2– 4i
5– 3i
A)
11
17 – 7
17 i
B)
– 1
8+ 7
16 i
C)
11
16 + 7
16 i
D)
– 2
17 + 26
17 i
307)
8i;
y2+64 = 0
A)
Yes
B)
No
308)
1 +4i;
x2+5x +5= 0
A)
No
B)
Yes
309)
1 +2i;
y2–3y +3= 0
A)
Yes
B)
No
310)
2+ i;
x2–4x +5= 0
A)
No
B)
Yes
311)
Explain in your own words why a2
a when a is negative.
312)
Explain why no assumptions need to be made regarding the numbers represented by x and y when you are
simplifying the expression
3
x4y9.
313)
Explain the error in the following. x2– 25 =x2–25 = x – 5
314)
Why is it important to know how to multiply radical expressions before learning to divide them?
315)
Explain why it is easier to approximate 2
2 compared to 1
2 using 2= 1.414213562 when a calculator is not
available.
316)
Use what you know about factoring a difference of cubes to devise a method for rationalizing a denominator of
the form 3a–3b.
317)
Explain in your own words why possible solutions of radical equations must be checked.
318)
Explain a method that could be used to solve x – 1 +x–2x + 3 –4 + x = 0.
319)
In an equilateral triangle, all sides have the same length. Can a right triangle be equilateral? Why or why not?
320)
What is the difference between real numbers and complex numbers?