Intermediate Algebra (11th edition)

CHAPTERS 1–6 Cumulative Review Exercises 359

Use the properties of real numbers to simplify.

Evaluate for , , and.

Solve.

5. 
   
   
   
   6. 
      
   
   
   
   


6. 
   
   
   
   8. and
   
   
   
   


7. or 10.


8. 
   
   
   
   12. 
       
   
   
   
   

13.Two planes leave the Dallas-Fort Worth airport at

the same time. One travels east at 550 mph, and

the other travels west at 500 mph. Assuming no

wind, how long will it take for the planes to be

2100 mi apart?

14.Graph

15.Find the slope of the line passing through the points and.

16.What is the slope of the line shown here?

Use the function defined by to find each of the following.

17. 18.The x-intercept of 19.The y-intercept of
    its graph its graph

Solve each system.

Perform the indicated operations. In Exercise 22, assume that variables represent nonzero

real numbers.

Factor.

25. 
    
    
    
    26. 
        
    
    
    
    


26. 100 x^4 - 81 28. 8 p^3 + 27

16 w 2 + 50 wz- 21 z^24 x^2 - 4 x+ 1 - y^2

13 x^3 + 4 x^2 - 72 - 12 x^3 - 8 x^2 + 3 x 2

13 x^2 y-^12 -^212 x-^3 y 2 -^117 x+ 3 y 22

3 x+ 4 y- 3 z= 7

2 x+ 3 y= 17 8 x- y+ 3 z= 7

3 x- 2 y=- 7 2 x+ 3 y- 6 z= 5

ƒ 1 - 42

ƒ 1 x 2 = 2 x+ 7

1 - 4, 8 2 1 - 2, 6 2

4 x+ 2 y=-8.

|x+ 2 | 69 | 2 x- 5 |Ú 9

2 x+ 4710 3 x- 165 | 5 x+ 3 |- 10 = 3

3 - 21 x+ 3264 x 2 x+ 4610 3 x- 175

3 x- 1

5

+

x+ 2

2

=-

3

10

2 x- 5 + 3 x= 4 - 1 x+ 22

r

• p+ 2 q

5 p+ 6 r^2

p^2 +q- 1

p=- 4 q=- 2 r= 5

• 21 m- 32 3 x^2 - 4 x+ 4 + 9 x-x^2

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1– 6

Plane r t d

Eastbound 550 x

Westbound 500 x

Total

x

y

–2

–3

0

2

y = –3