Beginning Algebra, 11th Edition

SECTION 3.1 Linear Equations in Two Variables; The Rectangular Coordinate System^183

CAUTION The equation in Example 6is valid only for the years 2001 through

2006, because it was based on data for those years. Do not assume that this equa-

tion would provide reliable data for other years, since the data for those years may

not follow the same pattern.

Complete solution available
on the Video Resources on DVD

3.1 EXERCISES

The line graph shows the overall unemployment rate in the U.S. civilian labor force in August

of the years 2003 through 2009. Use the graph to work Exercises 1–4. See Example 1.

1.Between which pairs of consecutive years

did the unemployment rate decrease?

2.What was the general trend in the unem-

ployment rate between 2007 and 2009?

3.Estimate the overall unemployment rate in

2003 and 2004. About how much did the

unemployment rate decline between 2003

and 2004?

4.During which year(s)

(a)was the unemployment rate greater than

6%, but less than 7%?

(b)did the unemployment rate stay the

same?

Concept Check Fill in each blank with the correct response.

5.The symbol represent an ordered pair, while the symbols and

(does/does not)

represent ordered pairs.

(do/do not)

6.The ordered pair is a solution of the equation.

7.The point whose graph has coordinates is in quadrant.

8.The point whose graph has coordinates lies on the -axis.

9.The ordered pair is a solution of the equation

10.The ordered pair is a solution of the equation

Decide whether the given ordered pair is a solution of the given equation. See Example 2.

Complete each ordered pair for the equation. See Example 3.

Complete each ordered pair for the equation. See Example 3.

27. 1 , 0 2 28. 1 0, 2 29. 1 , 24 2 30. 1 , 16 2

y=- 4 x- 4

1 5, 2 1 2, 2 1 , - 32 1 , 0 2

y= 2 x+ 7

x=-6; 1 - 6, 5 2 x- 6 =0; 1 4, 2 2 x+ 4 =0; 1 - 6, 2 2

x=- 4 y; 1 - 8, 2 2 y= 3 x; 1 2, 6 2 y=2; 1 4, 2 2

2 x-y=6; 1 4, 2 2 5 x- 3 y=15; 1 5, 2 2 4 x- 3 y=6; 1 2, 1 2

x+y=8; 1 0, 8 2 x+y=9; 1 0, 9 2 2 x+y=5; 1 3, - 12

1 , - 22 x=6.

1 4, 2 y=3.

1 0, 5 2

1 - 4, 2 2

1 3, 2 2 2 x- 5 y=

5 x, y 6

1 x, y 2 3 x, y 4

Year

4

5

6

7

8

'03 '04 '05 '06 '07 '08 '09

Rate (percent)

9

10

Source: U.S. Bureau of Labor Statistics.

Unemployment Rate