Beginning Algebra, 11th Edition

36 CHAPTER 1 The Real Number System

STUDY SKILLS

You are ready to do your homework AFTERyou have read the corresponding textbook
section and worked through the examples and Now Try exercises.

Homework Tips

N Work problems neatly.Use pencil and write legibly, so

others can read your work. Skip lines between steps.

Clearly separate problems from each other.

N Show all your work.It is tempting to take shortcuts.

Include ALL steps.

N Check your work frequently to make sure you are on the

right track.It is hard to unlearn a mistake. For all odd-

numbered problems, answers are given in the back of the

book.

N If you have trouble with a problem, refer to the corre-

sponding worked example in the section.The exercise

directions will often reference specific examples to re-

view. Pay attention to every line of the worked example

to see how to get from step to step.

N If you are having trouble with an even-numbered prob-

lem, work the corresponding odd-numbered problem.

Check your answer in the back of the book, and apply

the same steps to work the even-numbered problem.

N Mark any problems you don’t understand.Ask your

instructor about them.

Select several homework tips to try this week.

Tackling Your Homework

(^218) CHAPTER 3Linear Equations and Inequalities in Two Variables; Functions
3.4 EXERCISES
x
y
0
(0, –3)
x
y
0
(0, 2)
x
y
(^0) (0, –2)
x
y
0
(0, –3)
x
y
0
(0, – 4)
Concept CheckMatch the description in Column I with the correct equation in Column II.
III

1. passes through A.


2. y-intercept B.
   3.Passes through and C.
   4.Passes through and D.
   Concept Check E.
   resemble its graph.Match each equation with the graph in A – D that would most closely


3. 
   
   
   
   6. 
      
      
      
      7. A. B. C. 8.
         D.
      
      
      
      
   
   
   
   

Identify the slope and y-intercept of the line with each equation.

9. See Example 1.
   10. 11.


10. 
    
    
    
    13. 
        
    
    
    
    


11. 
    

    Concept CheckUse the geometric interpretation of slope (rise
    write the slope-intercept form of the equation of the line.tion 3.3) to find the slope of each line. Then, by identifying the y-intercept from the graph,divided byrun,from Sec-

    
    


12. 
    
    
    
    16. 
        
    
    
    
    


13. 
    


14. 
    
    
    
    19. 
        
    
    
    
    


15. 
    

y= y=x 7 - 145

x

5 - 103

y=x+ 1

y= y=-x+ 9

7

3 x-^6

y=^52 x- 4

y=-x+ (^3) y=x- (^3) y=-x- 3
y=x+ 3
y- (^1) =- 21 x- 42
1 0, 0 (^21) 1, 4 (^2) y=- 2 x+ 1
1 0, 0 (^21) 4, 1 (^2) y=- 4 x
Slope=-2, 1 0, 1 (^2) y= 41 x
Slope=-2, (^1) 4, 1 (^2) y= 4 x
0 x
y
0 x
y
0 x
y
0 x
y
x
y
0
(0, 3)
The table shows the percent change in the Consumer Price Index (CPI) for selected categories
of goods and services from 2004 to 2005 and from 2006 to 2007. Use the table to answer
Exercises 77–80. See Example 5.
77.Which category in which year
represents the greatest percentage
increase?
78.Which category in which year
represents the greatest percentage
decrease?
79.Which category in which year
represents the least change?
80.Which categories represent a
decrease for both years?
Change from Change from
Category 2004 to 2005 2006 to 2007
Shelter 2.6 3.7
Apparel and upkeep 0.7 0.4
Fuel and other 10.6 3.0
utilities
Medical care 4.0 4.4
Public 3.9 1.5
transportation
Source:U.S. Bureau of Labor Statistics.
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