Intermediate Algebra (11th edition)

712 CHAPTER 12 Sequences and Series

Simplify each expression.

Let. List the elements of P that are

members of each set.

3.Rational numbers 4.Irrational numbers

Solve each equation or inequality.

5. 
   
   
   
   6. 
      
   
   
   
   


6. 
   
   
   
   8. 
      
   
   
   
   


7. or 10.
   11.Find the slope of the line through and.
   12.Find the standard form of the equation of the line through and parallel to the
   line with equation.

Graph.

13. 
    
    
    
    14. 15.Consider the set of ordered pairs.
    
    
    
    

(a)Is this a function? (b)What is its domain? (c) What is its range?

Solve each system of equations.

18.Nuts worth $3 per lb are to be mixed with 8 lb of nuts worth $4.25 per lb to obtain a mix-

ture that will be sold for $4 per lb. How many pounds of the $3 nuts should be used?

Perform the indicated operations.

19. 
    
    
    
    20. 
        
    
    
    
    


20. 
    

    22.Divide by.

    
    

Factor.

Solve each equation or inequality.

Simplify.

28. 29.

13 p^2231 - 2 p^62

4 p^315 p^72

a

2

3

b

• 2

2 x^2 +x= 10 x^2 - x- 6 ... 0

6 z^3 + 5 z^2 - 4 z 49 a^4 - 9 b^2 c^3 + 27 d^3

6 t^4 + 5 t^3 - 18 t^2 + 14 t- 1 3 t- 2

12 m^3 - 3 m^2 + 8 m 2 - 17 m^3 + 5 m- 82

14 p+ 2215 p- 32 13 k- 722

• x+ 3 y- 3 z=- 11

2 x+ 3 y=- 8 2 x- y+ 3 z= 15

y= 5 x+ 3 x+ 2 y+ z= 8

51 - 3, 2 2 , 1 - 2, 6 2 , 1 0, 4 2 , 1 1, 2 2 , 1 2, 6 26

x- 3 y= 6 4 x-y 64

3 x+y= 7

1 - 2, 10 2

1 4, - 52 1 - 12, - 172

2 x 78 - 3 x 79 |2x-5|Ú 11

x+ 3

12

-

x- 3

6

| 4 x- 3 |= 21 = 0

9 - 15 + 3 x 2 + 5 x=- 41 x- 32 - 7 7 x+ 18 ... 9 x- 2

P=E-^83 , 10, 0, 213 , - 23 ,^4515 , 2 - 7 , 0.82, - (^3) F

|-7|+ 6 - |-10 |- 1 - 8 + 32 41 - 62 + 1 - 82152 - 1 - 92

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1–12