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Solution Manual for College Algebra, 5th Edition by Cynthia Y. Young | 2025–2026 Updated Answers

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This Solution Manual for College Algebra, 5th Edition by Cynthia Y. Young provides complete step-by-step solutions for all exercises in the textbook, fully updated for 2026 academic standards. It is an essential resource for students and instructors seeking detailed explanations of algebraic concepts, equations, inequalities, functions, graphing, and problem-solving strategies. Ideal for exam preparation, homework assistance, and mastering college algebra.

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College Algebra
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College algebra











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Institution
College algebra
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College algebra

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February 2, 2026
Number of pages
1168
Written in
2025/2026
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Answer Key- Solution manual for college algebra 5th edition cynthia
Pagey young
1 of 1168 2/1/2026




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

Page 1 Solution manual for college algebra 5th Solution
edition cynthia
manualy for
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college algebra 5th edition cynthia y young.pdf

,Answer Key- Solution manual for college algebra 5th edition cynthia
Pagey young
2 of 1168 2/1/2026


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




60

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manualy for
young.pdf
college algebra 5th edition cynthia y young.pdf

,Answer Key- Solution manual for college algebra 5th edition cynthia
Pagey young
3 of 1168 2/1/2026


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

Page 3 Solution manual for college algebra 5th Solution
edition cynthia
manualy for
young.pdf
college algebra 5th edition cynthia y young.pdf

, Answer Key- Solution manual for college algebra 5th edition cynthia
Pagey young
4 of 1168 2/1/2026


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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Page 4 Solution manual for college algebra 5th Solution
edition cynthia
manualy for
young.pdf
college algebra 5th edition cynthia y young.pdf

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