College Algebra 5th Edition by Cynthia Y. Young Solution Manual 2026/2027 | Chapter Solutions & Study Guide

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CHAPTER 1

Section 1.1 Solutions -----------------------------------------------------------------------------

1. 2. 3.
5x  35 4t  32 3  n  12
1 1 1 1 3  3  n  3 12
5x  35  4t  32
5 5 4 4 n  15
x7 t8

4. 5. 6.
4  5  y 24  3x 50  5t
5  4  5  5  y 1 1 1 1
  24    (3x)   (50)   (5t)
9 y 3 3 5 5
8  x 10  t

7. 8. 9.
1
n3 6
1
p 3x  5  7
5 3 3x  12
1 1 
5  n  5 3 36  3 p  x4
 
5  3 
n  15 18  p

10. 11. 12.
4p 5  9 9m  7  11 2x  4  5
4p  4 9m  18 2x  1
p 1 m2 x 1 2

13. 14. 15.
5t 11  18 7x  4  21 24x 3x  5  25  6x
5t  7 7x  17  24x 3x  30  6x
t7 5 17x  17 3x  30
x  1 x  10




59

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manual for college algebra 5th edition
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y young.pdf



Chapter 1

16. 17. 18.
5x 10  25  2x 20n  30  20  5n 14c 15  43  7c
5x  15  2x 20n  50  5n 14c  28  7c
3x  15 25n  50 7c  28
x5 n2 c4

19. 20.
4(x  3)  2(x  6) 5(2y 1)  2(4y  3)
4x 12  2x 12 10y  5  8y  6
2x  24 2y  1
x  12 y  1
2



21. 22.
3(4t  5)  5(6  2t) 2(3n  4)  (n  2)
12t 15  30 10t 6n  8  n  2
15  2t 7n  10
 15 2  t n   10 7

23. 24.
2  x 1  3  x  3  x 1 4  y  6  8  2y  4  y  2
2x  2  3  x  3x  3 4y  24  8  2y  4y  8
2x 1  2x  3 4y 16  2y  8
4x  4 6y  24
x  1 y  4

25. 26.
5 p  6  p  7  3 p  2 3  z  5  5  4z  7  z  2
5 p  6 p  42  3 p  6 3z 15  5  4z  7z 14
11p  42  3 p  6 3z 10  11z 14
8 p  36 8z  24
9 z 3
p 
2




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Section 1.1


27. 28.
7x  (2x  3)  x  2 3x  (4x  2)  x  5
7x  2x  3  x  2 3x  4x  2  x  5
5x  3  x  2 x  2  x  5
4x  1 3  2x
x  14 3
2x


29. 30.
2  (4x 1)  3  (2x 1) 5  (2x  3)  7  (3x  5)
2  4x 1  3  2x 1 5  2x  3  7  3x  5
1 4x  4  2x 8  2x  2  3x
3  2x x  6
 32  x

31.
2a  9 a  6  6 a  3  4a
7a  54  6a 18  4a
7a  54  2a 18
9a  72
a  8

32.
25  2  5y  3 y  2  32y  5  5  y 1  3y  3
25   2  5y  3y  6  6y 15   5y  5  3y  3
25  2  5y  3y  6  6y 15  5y  5  3y  3
29  2y  8y 17
6y  12
y  2




61

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Chapter 1

33.
32  4  6x  5 x  4  4 3x  4  6 3x  4  7  4x
32   4  6x  5x  20  12x 16 18x  24  7  4x
32  4  6x  5x  20  12x 16 18x  24  7  4x
48  x  2x  33
x  15

34.
12  3  4m  6 3m  2  7 2m  8  3 m  2  3m  5
12 3  4m 18m 12  14m  56  3m  2  3m  5
12  3  4m 18m 12  14m  56  3m  6  9m 15
3 14m  26m  77
40m  80
m2

35.
20  4 c  3  6 2c  3  5 3c  2  2 7c  8  4c  7
20  4c  3 12c 18  15c 10 14c 16  4c  7
20  4c 12  48c  72  15c 10 14c 16  4c  7
44c 104  5c 1
39c  105
35
c
13

36.
46  7  8y  9 6y  2  7 4y  7  2 6 2y  3  4  6y
46   7  8y  54y 18  28y  49  212y 18  4  6y
46  7  8y  54y 18  28y  49  24y  36  8 12y
46y  57  64y  93
18y  36
y2




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