Beginning Algebra, 11th Edition

Solve each problem by using a system of equations.

12.The distance between Memphis and Atlanta is 782 mi less than the distance between

Minneapolis and Houston. Together, the two distances total 1570 mi. How far is it

between Memphis and Atlanta? How far is it between Minneapolis and Houston?

13.In 2008, the two most popular amusement parks in

the United States were Disneyland and the Magic

Kingdom at Walt Disney World. Disneyland had

2.4 million fewer visitors than the Magic Kingdom,

and together they had 31.8 million visitors. How

many visitors did each park have? (Source: 2008

TEA/ERA Attraction Attendance Report.)

292 CHAPTER 4 Systems of Linear Equations and Inequalities

16. 17.

4 y+ 12 Ú- 3 x

2 x- y 76

x- yÚ 1

2 x+ 7 y... 14

18.Concept Check Without actually graphing, determine which one of the following sys-

tems of inequalities has no solution.

A.

y... 3

xÚ 4

1.List all integer factors of 40.

2.Evaluate

3.Find the value of the expression for and

4.Name the property that justifies the statement:.

Solve each linear equation.

7.Solve the formula for T.

Solve each linear inequality.

8.- 9.- 862 x+ 3

5

6

x 615

P=

kT

V

3

2

a

1

3

x+ 4 b = 6 a

1

4

2 - 316 x+ 22 = 41 x+ 12 + 18 +xb

r 1 s-k 2 =rs-rk

x= 1 y=5.

3 x^2 + 2 y^2

10 y+ 3

- 2 + 633 - 14 - 924.

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1– 4

14.Sohail Chughtai has a 25% solution of alcohol to mix with a 40% solution to get 50 L of

a final mixture that is 30% alcohol. How much of each of the original solutions should

be used?

15.Two cars leave from Perham, Minnesota, at the same time and travel in the same direc-

tion. One car travels one and one-third times as fast as the other. After 3 hr, they are

45 mi apart. What are the rates of the cars?

Graph the solution set of each system of inequalities.

B.

x+y 63

x+y 74 C.

y 61

x 72 D.

x-y 63

x+y 74

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