Intermediate Algebra (11th edition)

Solve each problem.

15.If each side of a square were increased by 4 in., the perimeter
would be 8 in. less than twice the perimeter of the original
square. Find the length of a side of the original square.

CHAPTERS 1–3 Cumulative Review Exercises 207

x + 4

Original

square

New

square

x

West Airport East

16.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?

Solve. Write each solution set in interval notation and graph it.

17. 
    
    
    
    18. 
        
    
    
    
    


18. and 20. or

Solve.

23.Find the x- and y-intercepts of the line with equation and graph the line.

24.Consider the points and.

(a)Find the slope of the line AB.

(b)Find the slope of a line perpendicular to line AB.

25.Graph the inequality.

Write an equation for each line. Express the equation (a)in slope-intercept form if possible
and (b)in standard form.

26.Slope ; - y-intercept 1 0, - 12 27.Through and 1 4, - 32 1 1, 1 2

3

4

• 2 x+y6- 6

A 1 - 2, 1 2 B 1 3, - 52

3 x+ 5 y=12,

| 2 k- 7 |+ 4 = 11 | 3 m+ 6 |Ú 0

• 5 x+ 1 Ú 11 3 x+ 5726

1

3

x 6

8

3

1

2

x 73

• 463 - 2 k 69 - 0.3x+2.1 1 x- 42 ...-6.6

28.Give the domain and range of the relation.
Does it define a function? Explain.

30.Use the information in the graph to find and
interpret the average rate of change in the per
capita consumption of potatoes in the United
States from 2003 to 2008.

29.Consider the function defined by

(a)Find the domain and range.

(b)Evaluate

(c) If ƒ 1 x 2 = 6 , find the value of x.

ƒ 1 - 32.

ƒ 1 x 2 =- 4 x+10.

14

91

75

23

9

70

56

5

U.S. Potato Consumption

2003 2005 2007

Year

(2003, 46.8)

(2008, 36.7)

Per Capita Consumption

(in pounds)^20

40

60

0

Source: U.S. Department of Agriculture.