Intermediate Algebra (11th edition)

Perform the indicated operations. Give answers in standard form.

121. 
     
     
     
     122. 
          
          
          
          123. 
               
          
          
          
          
     
     
     
     

124. 125. 126.

127. 128. 129.

Find each power of i.

130.i^11 131.i^36 132.i-^10 133.i-^8

5 + 14 i

2 + 3 i

3 - i

2 +i

16 - 2 i 22

12 + 3 i 211 - i 2

2 - 72

2 - 8

2 - 25 # 2 - 81

1 - 2 + 5 i 2 + 1 - 8 - 7 i 2 15 + 4 i 2 - 1 - 9 - 3 i 2 2 - 5 # 2 - 7

490 CHAPTER 8 Roots, Radicals, and Root Functions

MIXED REVIEW EXERCISES

Simplify. Assume that all variables represent positive real numbers.

134. 
     
     
     
     135. 
          
          
          
          136. 
               
          
          
          
          
     
     
     
     


135. 
     
     
     
     138. 
          
          
          
          139. 
               
          
          
          
          
     
     
     
     

140. 141. 142.

143. 144. 145.

146. 147. 148.

149. 150.

Solve each equation.

151. 
     
     
     
     152. 
          
     
     
     
     


152. 
     
     
     
     154. 
          
     
     
     
     


153. 
     
     
     
     156. 
          
     
     
     
     


154. 
     
     
     
     158. 
          
     
     
     
     


155. 211 + 2 x+ 1 = 25 x+ 1 160. 25 x+ 6 - 2 x+ 3 = 3

32 x= 28 x+ 9 62 x= 230 x+ 24

26 x+ 2 - 25 x+ 3 = 0 23 + 5 x- 2 x+ 11 = 0

26 + 2 x- 1 = 27 - 2 x 27 x+ 11 - 5 = 0

2 x+ 4 =x- 2 232 x- 9 = 235 x+ 3

925 - 4215 A 25 - 23 BA 27 + 23 B

13 + 2 i 22 823 x^3 y^2 - 2 x 23 y^2

3 + 254

6

250

2 - 2

2 - 49 14 - 9 i 2 + 1 - 1 + 2 i 2

i-^1000

B

3

12

25

- 1

212

24 k^242354 z^9 t^8 - 5218 + 12272

z-1/5#z3/10

z7/10

- 24256 1000 - 2/3

Evaluate.

1. 
   
   
   
   2. 
      
      
      
      3. 
         
      
      
      
      
   
   
   
   

4.Concept Check For which choice gives the best estimate?

A. 10 B. 11 C. 12 D. 13

Use a calculator to approximate each root to the nearest thousandth.

5. 
   
   
   
   6. 
      
   
   
   
   

7.Graph the function defined by ƒ 1 x 2 = 2 x+ 6 ,and give the domain and range.

2478 23 - 832

2 146.25,

- 2841 23 - 512 125 1/3

TEST

CHAPTER 8

View the complete solutions to
all Chapter Test exercises on
the Video Resources on DVD.

Step-by-step test solutions are found on the Chapter Test Prep Videos

available via the Video Resources on DVD, in , or on

(search “LialIntermediateAlg”).

CHAPTER

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