Beginning Algebra, 11th Edition

15. 16. 17.

18. 4 r+ 2 =r- 6 19.- 12 x- 5 = 10 - 7 x 20.- 16 w- 3 = 13 - 8 w

2 x+ 9 = 4 x+ 11 7 p+ 8 = 9 p- 2 5 m+ 8 = 7 + 3 m

SECTION 2.3 More on Solving Linear Equations 105

21. 22.

23. 24.

25. 26.

27. 28.

29. 30.

31. 32.

33. 34.

35. 36.

37. 38.

Solve each equation, and check your solution. See Examples 6 – 8.

39. 
    
    
    
    40. 
        
    
    
    
    

41. 42.

43. 44.

45. 46.

47. 48.

49. 50.

51. 52.

53. 54.

Solve each equation, and check your solution. See Examples 1–10.

55. 
    
    
    
    56. 
        
    
    
    
    


56. 
    
    
    
    58. 
        
    
    
    
    


57. 
    
    
    
    60. 
        
    
    
    
    


58. 
    
    
    
    62. 
        
    
    
    
    


59. 
    
    
    
    64. 
        
    
    
    
    

Write the answer to each problem in terms of the variable. See Example 11.

65.Two numbers have a sum of 11. One of the numbers is q. What expression represents the
other number?

66.Two numbers have a sum of 34. One of the numbers is r. What expression represents the
other number?

67.The product of two numbers is 9. One of the numbers is x. What expression represents
the other number?

68.The product of two numbers is. One of the numbers is m. What expression represents
the other number?

69.A football player gained xyards rushing. On the next down, he gained 9 yd. What ex-
pression represents the number of yards he gained altogether?

- 6

91 v+ 12 - 3 v= 213 v+ 12 - 8 81 t- 32 + 4 t= 612 t+ 12 - 10

41 x+ 82 = 212 x+ 62 + 20 41 x+ 32 = 212 x+ 82 - 4

0.1 1 x+ 802 +0.2x= 14 0.3 1 x+ 152 +0.4 1 x+ 252 = 25

1

3

1 x+ 32 +

1

6

1 x- 62 =x+ 3

1

2

1 x+ 22 +

3

4

1 x+ 42 =x+ 5

1012 x- 12 = 812 x+ 12 + 14 913 k- 52 = 1213 k- 12 - 51

0.6 1 10,000 2 +0.8x=0.72 1 10,000+x 2 0.2 150002 +0.3x=0.25 15000 +x 2

1.00x+0.05 112 - x 2 =0.10 1632 0.92x+0.98 112 - x 2 =0.96 1122

0.2 1602 +0.05x=0.1 160 +x 2 0.3 1302 +0.15x=0.2 130 +x 2

-

5

6

q- 1 q- 12 =

1

4

1 - q+ 802

2

3

k-ak-

1

2

b =

1

6

1 k- 512

1

9

1 p+ 182 +

1

3

• 12 p+ 32 =p+ 3

1

4

1 x- 122 +

1

2

1 x+ 22 =x+ 4

1

4

13 x- 12 +

1

6

1 x+ 32 = 3

1

7

13 x+ 22 -

1

5

1 x+ 42 = 2

1

5

x-

2

3

x- 2 =-

2

5

x

3

4

x-

1

3

x+ 5 =

5

6

x

-

2

7

r+ 2 r=

1

2

r+

17

2

3

5

t-

1

10

t=t-

5

2

11 x- 51 x+ 22 = 6 x+ 5 6 x- 41 x+ 12 = 2 x+ 4

312 x- 42 = 61 x- 22 316 - 4 x 2 = 21 - 6 x+ 92

614 x- 12 = 1212 x+ 32 612 x+ 82 = 413 x- 62

• 14 x+ 22 - 1 - 3 x- 52 = 3 - 16 k- 52 - 1 - 5 k+ 82 =- 3

613 w+ 52 = 2110 w+ 102 412 x- 12 =- 61 x+ 32

• 2 p+ 7 = 3 - 15 p+ 12 4 x+ 9 = 3 - 1 x- 22

314 x+ 22 + 5 x= 30 - x 512 m+ 32 - 4 m= 2 m+ 25

7 r- 5 r+ 2 = 5 r+ 2 - r 9 p- 4 p+ 6 = 7 p+ 6 - 3 p

12 h- 5 = 11 h+ 5 - h - 4 x- 1 =- 5 x+ 1 + 3 x