Solution Manual for Intermediate Algebra 7th Edition by Tobey For questions 1−12, find the following products.. 2 4 5 − 17 For questions 15−22, write each of the following in simplest fo
Trang 1Solution Manual for Intermediate Algebra 7th Edition by Tobey
For questions 1−12, find the following products
8
4 3(4x – 1) – 5(x + 5)
5 ( 4a 3
)( 3a 4
b2
− 5)
8 (y – 8)(y – 5)
9 (3p + 5q)(7p – 6q) 10 ( m − 3) (m 2
− 7m − 5)
2
(3x − 5)
For questions 13 and 14, find the following quotients
2
(4) (5) − 17
For questions 15−22, write each of the following in simplest form with positive exponents only
Trang 22 3 (4a 3b−
2 )2
( 3a 2 b3 )
Trang 3Chapter Test 2A 97
19 35m 4 n7
20 (x )
–7m 6 n2
( x −6 ) ( x−2 )
21 −18 x 5y 12 x 6 6
3
−6x
2 4 5
y 24x y
2
y
22 1 6b − 16b + 8b
2
8b
Evaluate each of the following
23 6 − 3(−8 − 10) ÷ ( −6) 24
2
3(−3) − 2 (−2)3 + 3(−1)4
25 Find the value of 5y – 3(z + 2x) ÷ x, for x = –3, y = 2, and z = –2
For questions 26 and 27, write an expression for each of the following and simplify
26 8 decreased by the product of 9 and –13
2
27 The product of 2x – 3 and x – 4 added to 4x – 2x – 9
28 Write each of the following in scientific notation
Evaluate each of the following using scientific notation Leave the answer in standard notation
30 0.00000165
29 (0.0012)(0.00000026)
1100000
Trang 46 6 8 4
Chapter Test 2B
For questions 1−12, find the following products
1 (–4)(–2)(5)
3 (−6a b )(7a b )
4 2
2 (–2) (3)
4 2(3x – 4) – 5(6x – 8)
Name:
2 2 4 2
5 (3x y)(4x y )
2
4a(5a – 6)
13 15 + 9
8
For questions 15−22, write each of the following in simplest form with positive exponents only
15 ( p 4
q−3
– (3x)0
y3 ) 2
14
2
(4)(5) − 19
2
(3)(2) − 3
6
7 3x y (4xy − 2xy − 6 y ) 8 (a – 6)(a – 3)
9 (2n + 5m)(3n – 7m) 10 ( b − 2) (b 2
− 5b − 7)
11.(4z + 5)(4z – 5)
For questions 13−14, find the following quotients
(4x − 3)
Trang 5Chapter Test 2B 99
3 7
−
5 )4 (x2 )3
7 3
4 5 2 8 6
21 16a b − 24a b − 8ab
22 24a − 6a + 18a
6a
Evaluate each of the following
23 −7 − 3(33 − 11) ÷ (−2)
25 Find the value of 5y – 4(z – 2x) ÷ z, for x = –3, y = 2, and z = –2
For questions 26 and 27, write an expression for each of the following and simplify
26 The product of 5 and –6 subtracted from 8
2
27 The product of 3x – 2 and x + 4 added to 3x – 4x – 9
28 Write each of the following in standard notation
–6
a 4.08 × 10
7
b 9.093 × 10
Evaluate each of the following using scientific notation Leave the answer in standard notation
29 (150,000)(0.000000012) 30 0.0000168
1400000
24
2
4(− 3) − 6
2
(−4) + ( − 2)(−7)
Trang 6( )
For questions 1−12, find the following products
2 3
(–4) (–3)
3
2
(−3u 3 5 )(2u 4
v )
5 ( 4x 3
y 2
)( 2xy5
)2
6 4c (5c3
− 6)
7
5x y (6xy − 3x y − 4 y ) 8 (b – 5)(b – 2)
9 (4a – 6b)(5a + 2b) 10 ( x − 3) (x 2
− 2x + 4)
2
(7x – 5)
For questions 13−14, find the following quotients
3
(2) (− 7) + 14
For questions 15−23, write each of the following in simplest form with positive exponents only
17 ( −4tx5 )3
18
−2
2 −3
(3t u )
2
u4 )
Trang 7Chapter Test 2C 101
−
9 3
4 5 5 4 3 3
21 25t u − 30t u − 10t u
2 3
−5t u
Evaluate each of the following
23 −10 – 2(–5 – 7) ÷ (–3)
3
24 5(−2) − (−2)
(−3) + 5(2)
3
25 Find the value of 5c + 3(a – 4b) ÷ b , for a = 2, b = –1, and c = – 4
For questions 26 and 27, write an expression for each of the following and simplify
26 10 increased by the product of – 6 and 9
2
27 The product of (2x – 7) and (x + 3) subtracted from 8x – 5x + 4
28 Write each of the following in standard notation
6
a 2.205 × 10
– 4
b 6.28 × 10
Simplify each of the following using scientific notation
Leave answers in standard notation
180000 0.00036
22
5
24r
3
− 32r + 16r
3
8r
Trang 84 4 6
2
Chapter Test 2D
Circle the letter of the correct answer
For questions 1−12, find the following products
1 (–4)(5)(–2)
2 3
2 (–3) (2)
3 (5a b )(−7ab )
a –35a b b –35a b c –35a b
Name:
d –12 e None of these
d –72 e None of these
10 5
d –35a b e None of these
4 2(3x – 1) – 4(7x − 5)
a 22x – 18 b −22x − 22 c −22x + 18 d 20x + 22 e None of these
5 ( 5x y )( 3x y )
a 20x y b 30x y c 45x y d 15x y e None of these
6 3a (4a − 7)
3
d 12a – 21a e None of these
7 4x y 5xy − 3xy − 5 y
a 20x
4 7 4 4 3 6 b 60x – 5y c –12x y
d 20x y – 12x y – 20x y e None of these
8 (a – 7)(a – 3)
d a – 7a + 21 e None of these
9 (3n + 5m)(4n – 7m)
2
– mn – 35m
2
d 12n
2
Trang 9Chapter Test 2D 103
2
10 (b − 4) (b − 3b − 5)
3 2
c b + 7b + 20
d b3
2
– 11b + 7b + 20 e None of these
11 (3z + 6)(3z – 6)
a
2
2
c 9z + 36
d
2
3z – 18z – 36 e None of these
2
12 (5x − 2)
For questions 13−21, write each of the following in simplest form with positive exponents only
6 −4 −2
13 3 p q
8
q
8
q
d 12 e None of these
0 0
14 –2x – (5x)
−2 3 −2
4
9b
d − 6
9b
e None of these
b6
z3 )4
2
16
( 2 yz4 )3
a 2
c 25x − 20x + 4
d
2
Trang 10x
Chapter Test 2D
4 4
17 −24x y
5 3
6x y
e None of these
(−8b 3 )(− 4b5 )
18 (
3
−2b
)( )
6
8b
8
a − 2 b 32b
9
(−2x 4 −6 ( x3 3
3
c 2b
1
d 4
8b
e None of these
( x−4 ) −3 ( x5 )−2
4 3
20 −16a b + 24a b 2 2
5
− 8ab
2
−4ab
a 4a b − 6a b + b –20a b – 8ab c −4a b − 6a − 2b
2 7
2a b d 4a 3 3
b − 6a + 2b e None of these
21 10x − 25x + 15x
5x
2 3 − 5x + 3 x3
3
b 2x – 5x + 3x c 2x 9 7
– 5x + 3x 5
d 2x − 5x +
For questions 22−23, evaluate the expressions
22 –8 − 2(–15 – 9) ÷ (–6)
a
a − 4 b 4xy c − 4y d 4 y
9 5
3
x
x13
Trang 11Chapter Test 2D 105
2
23 (5) (−6) + 18
(6)(3) − 6
24 Find the value of 6y – 3(z – 3x) ÷ x, for x = –3, y = 2, and z = –2
For questions 25 and 26, write an expression for each of the following and simplify
25 The product of –7 and 6 subtracted from 8
2
26 The product of 4x – 3 and x + 5 added to 2x – 7x – 3
27 Write 0000093 in scientific notation
a 9.3 × 10 b 9.3 × 10 c 9.3 × 10 d 9.3 × 10 e None of these
6
28 Write 5.09 × 10 in standard notation
a 509 b 5.09 c 509,000 d 5,090,000 e None of these
For questions 29 and 30, simplify each of the following using scientific notation Leave the answer in
standard notation
29 (0.0024)(45,000,000)
30 60000
.0015
d
6
a 2
2x + 2x – 1
2
c 6x – 5x – 3
d
2
6x + 10x – 18 e None of these
Trang 123
2
Chapter Test 2E
Circle the letter of the correct answer
For questions 1−12, find the following products
1 3(–6)(–4)
Name:
d 72 e None of these
3 2
2 (–2) (4)
3 (−6x y ) ( 4xy)
a –24x y b –24x y c –24x y
4 3(2x + 4) – 5(2x + 1)
a 4x + 7 b −4x + 17 c 4x + 17
5 ( 4a b )( 2a b )
a 8a b b 512a b c 32a b
6 2x (3x − 5)
5
d 8 e None of these
4
d –2x y e None of these
d −4x + 7 e None of these
9 10
d 32a b e None of these
a
3
6x – 10
3
b 6x – 10x c
3
6x – 5
2
d 6x – 10x e None of these
7 3x y (4x y − 2xy − y )
a
5 5 3 5 2 9
12x y – 6x y – 3x y b
6 4 2 4 2 20
12x y – 6x y – 3x y
10 19
c 3x y
d
5 5 2 5 2 9
12x y – 6x y – 3x y e None of these
8 (a – 4)(a – 8)
a
2
2
c a + 4a + 32
d
2
a – 12a + 32 e None of these
9 (2a + 3b)(5a – 4b)
a
2
10a
2
2 2
10a – 12b
c 10a + 7ab –12b
d
2
+ 23ab –12b e None of these
Trang 13Chapter Test 2E 107
2
10 ( y − 3) (y − 4 y − 6)
a y3 – 7y – 18
d y3 + 7y +18
b y3 – 7y2 + 6y + 18
e None of these
c y3 – y2 + 6y – 18
11 (4v – 3)(4v + 3)
a
2
2
c 16v + 9
d
2
16v + 24v + 9 e None of these
2
12 (5x − 1)
a 25x2 + 1
d 25x2 − 10x − 1
b 25x2+ 5x − 1
e None of these
c 25x2 − 10x + 1
For questions 13−21, write each of the following in simplest form with positive exponents only
−7 4 −3
13 2a b
9
a a
21
b 2a c a21
d b e None of these
0 0
14 –(6y) – 4x
0
4 −2 3
b )
(−4a −4 b− 1 )−3
a b9
b 1 c −1 d −512 e None of these
9
2b
9
b
(4t 2
u5
)2
16
( 2tu3 )3
2
4t
e None of these
Trang 14b
c
Chapter Test 2E
17 −12a 3 5
3a 7 b2
(−10a 6 )(−2a3 )
18
( −5a 6 )( 6a4
)
( −3y 5 )−2 ( y3 )5
19
( y −2 ) −3 ( y4 )−4
e None of these
e None of these
15
c 9y
15
d 6y e None of these
20 −15b
3 5
+ 12b 2 c 4 + 18bc5
3
−3bc
a 5b c – 4b c − 6c b 5b c – 4bc − 6c c 5b – 4bc + 6c
2 2
d −5b c
5
2
– 4bc + 6c
3
e None of these
21 18w − 24w
3
6w
2
+ 12w
2
a 3x − 4 +
w2
5 3 2
2
b 3w
3
– 24w + 12w
2
c 3w
2
– 4 + 2w
d 18w − 24w +
w2
e None of these
For questions 22−23, evaluate the following
22 –4 − 2(–17 + 3) ÷ (–7))
b –4a b
4
4b
a
19
2a
a y15
b 1
5
9 y
9
Trang 15Chapter Test 2E 109
2
23 (4) (8) + 10
3(− 2) + 4
24 Find the value of 3a – 4(b – 3c) ÷ a, for a = –4, b = –3, and c = 5
For questions 25 and 26, write an expression for each of the following and simplify
25 15 decreased by the product of –9 and 4
2
26 The product of (2x – 5) and (x + 3) increased by 4x – 6x + 7
27 Write 00000081 in scientific notation
a
–7
–7
8.1 × 10
–6
c 8.1 × 10
d
–5
5
28 Write 1.86 × 10 in standard notation
a 186,000 b 18,600 c 1,860,000 d 1,860 e None of these
For questions 29 and 30, simplify each of the following using scientific notation Leave the answer in
standard notation
29 (0.000032)(1,400,000)
30 960000
.00016
a 2
–2x + 7x – 22 c 6x – 5x – 8 2
d
2
6x – 7x + 22 e None of these
Trang 16CHAPTER 2 FORM A
1 48
2 144
9 13
22 2b − 2b + b
23 −3
24 –5
25 2
26 125
3 63s t
4 7x − 28
11 5 27 6x 2 – 13x + 3
5 36a
4
6 24c
b – 20c
8
28 a 8.046 × 10
–8
b 7.8 × 10
7 5 5 3 4 6
7 10m n – 6m n – 18m n
2
8 y – 13y + 40
9 21p + 17pq – 30q
3 2
29 0.000000000312
30 0.0000000000015
CHAPTER 2 FORM B
10 m
11 9a
– 10m
2
– 64
+ 16m + 15 1 40
2 144
2
12 9x − 30x + 25 3 –42a 14 10
b
13 2
14 −21
4 −24x + 32
6 9
15
5 48x
6 20a
y
3
– 24a
3 6 3 4 2 6
7 12x y – 6x y – 18x y
2
8 a
9 6n
– 9a + 18
+ mn – 35m
n12
m10
16 –4
6 3
17 –27x y
16
18
13
27b
5
19 − 5n
2
m
1
20
x26
2 4 3 3
21 3x y + 2x + 4xy
Copyright © 2013 Pearson Education, Inc
10 3 2
b – 7b + 3b + 14
11 2
16z – 25
12
2
16x − 24x + 9
13 3
14 9
15
9
q
p12
16 –6
17
9 6
–64a y
18 1
16 3
72x y
19 −
4
3y
4
x
Trang 17286 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition
1
20
x 23
3 4 2
21 −2a b + 3ab + b
19 − 9 y4
x6
1
20
19 b
20 d
21 a
22 4a
23 26
24 1
25 18
26 38
− 1 + a
16y
2 2 3
21 5t u + 6t u + 2t
22 3r − 4 + 2
r
23 −18
22 c
23 b
24 d
25 c
26 d
27 a
2
27 6x + 6x – 17
19
28 a 0.00000408
b 90,930,000
29 0.0018
25 –38
26 –44
2
27 6x – 4x + 25
29 b
30 c
CHAPTER 2 FORM E
30 0.000000000012
CHAPTER 2
FORM C
1 84
2 –432
7 7
3 –6u v
4 −44x − 9
5 12
28 a 2,205,000
b 0.000628
29 19.776
30 500,000,000
CHAPTER 2 FORM D
1 b
2 b
1 d
2 c
3 c
4 d
5 d
6 b
7 a
5 16x
6 20c
y
4
8 d
9 c
7 30x y – 15x y – 20x y
2
8 b – 7b + 10
9 20a – 22ab – 12b
3 2
10 x – 5x + 10x – 12
2
5 c
6 d
7 d
8 c
10 b
11 a
12 c
13 c
14 d
11 4t
12 49x
13 2
– 25
2
– 70x + 25
9 c
10 b
11 a
15 d
16 e
14 –14
6
s10
16 –2
3 15
17 –64t x
1
18
8 2
36t u
12 c
13 d
14 d
15 c
16 e
17 c
18 a
17 d
18 d
19 a
20 b
21 a
22 d
23 c
Trang 1825 d
26 c
27 b
28 a
29 d
30 c