Beginning Algebra, 11th Edition

17. 
    
    
    
    18. 
        
        
        
        19. 
            
        
        
        
        
    
    
    
    


18. 
    
    
    
    21. 
        
        
        
        22. 
            
        
        
        
        
    
    
    
    


19. 
    
    
    
    24. 
        
    
    
    
    


20. , 26. ,


21. , , 28. , ,


22. , 30. ,


23. , 32. , 33. ,


24. , 35. , 36. ,


25. , 38. ,


26. , 40. ,


27. , ,


28. , ,


29. , ,


30. , ,

16

z^2 + 2 z- 24

• 16
  z^2 +z- 30


• 19
  z^2 + 4 z- 12

19

k^2 - 2 k- 15

• 8
  k^2 + 3 k- 40


• 5
  k^2 + 2 k- 35

15

y^2 - 6 y- 7

2

y^2 - 2 y- 3

10

y^2 - 10 y+ 21

12

p^2 - p- 30

3

p^2 - 3 p- 18

5

p^2 + 8 p+ 15

• 5
  y^2 - 2 y- 15

8

y^2 - 5 y

• 5
  a^2 + 3 a- 18

6

a^2 + 6 a

9

z^2 - 3 z- 4

1

z^2 - 4 z

2

k^2 + 3 k- 10

3

k^2 + 5 k

9

x-z

16

z-x

18

q-p

29

p-q

• 17
  8 - a

3

a- 8

• 4
  3 - m

12

m- 3

8

x-y

4

y-x

8

d-c

5

c-d

• 6
  m^2 - 7 m+ 10


• 2
  9 m- 18


• 22
  y^2 + 3 y+ 2


• 3
  8 y+ 16


• 4
  r^2 + 14 r+ 49


• 3
  5 r+ 35

13

r^2 + 7 r

• 16
  p^2 + 10 p+ 25


• 17
  p^2 + 5 p

5

12 p+ 60

11

6 p- 36

14

5 p- 30

25

9 r- 18

37

6 r- 12

2

5 x^2 + 15 x

3

7 x^2 + 21 x

,

11

6 b- 12

7

5 b- 10

,

7

9 a- 45

14

27 a^3

,

3

12 m- 20

9

28 m^2

,

28

12 k- 24

7

8 k

,

15

4 p- 8

7

6 p

,

23

9 r^6 s^8

7

3 r^4 s^5

,

29

15 a^5 b

13

5 a^2 b^3

,

SECTION 7.3 Least Common Denominators 439

EXERCISES 45–50

FOR INDIVIDUAL OR GROUP WORK

Work Exercises 45–50 in order.

45.Suppose that you want to write as an equivalent fraction with denominator 28. By

what number must you multiply both the numerator and the denominator?

46.If you write as an equivalent fraction with denominator 28, by what number are

you actually multiplying the fraction?

47.What property of multiplication is being used when we write a common fraction as

an equivalent one with a larger denominator? (See Section 1.7.)

48.Suppose that you want to write as an equivalent fraction with denomi-

nator. By what number must you multiply both the numerator and the

denominator?

49.If you write as an equivalent fraction with denominator , by what

number are you actually multiplying the fraction?

50.Repeat Exercise 47,changing “a common” to “an algebraic.”

(^2) xx-+ 45 7 x- 28
7 x- 28
2 x+ 5
x- 4
3
4
3
4

RELATING CONCEPTS