Answers. Chapter thirteen thousand, one hundred twenty-six 14. one thousand, eight hundred eightythree

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1 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. words. standard form. expanded form. period. place value. whole. ten 8. thousand 9. ten thousand 0. four hundred three. twenty-three thousand, eight hundred thirty-one. sixteen million, three hundred ninety thousand, five hundred sixtynine. thirteen thousand, one hundred twenty-six. one thousand, eight hundred eightythree. 98.,,0. 0, ,000,000 +,000, , women no, two hundred six.. addend, sum. perimeter. minuend, subtrahend, difference. commutative. associative ,899. inches. yards ,0,08. $89 8. car payment 9. $ 0. $. 89, 8 minuend, 9 subtrahend, 89 difference... exact, estimate. Rounding , ; 00; ,90;,00;, ,90; 9,000; 9, ,80; 8,800; 9,000. $0, miles. $80 8. answers will vary 9a. 0 b feet Martin-Gay Prealgebra Edition 8

2 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. product, factor. commutative. associative. area. distributive ,,98. square inches. 8 square feet calories. $0.,0 square feet undefined. quotient, dividend, divisor undefined R.. R 8 8. R 9. 8 R $8,000. yes, yards left over.. 8 feet. answers will vary.. base, exponent undefined. 00 square feet. square feet. 0 inches Martin-Gay Prealgebra Edition 8

3 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.8. variable. equation, expression. variable. solution yes. + x. 8 x. x 8. x 9. x 0. no, x and x are not the same Test A. eight hundred seventy-six thousand, one hundred twentyfour., R undefined ,000 8., $8. $. $9. $90. area = square feet, perimeter = feet 8. area = 9 square feet, permenter = 0 feet x. x. yes Test B. b. a. d. b. d. a. d 8. b 9. a 0. c. c. a. b. d. c. b. a 8. b 9. b 0. c. a. b. a. c. d. b. c 8. a 9. d 0. c. b. a. b Martin-Gay Prealgebra Edition 8

4 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. integers. opposites. signed numbers. absolute value > 9. > 0. < <. >. Day., (),, ( ),. False. answers will vary feet $ answers will vary 0. answers will vary points. 0. answers will vary. answers will vary Martin-Gay Prealgebra edition 8

5 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. negative. positive. negative. positive. 0. undefined undefined yards. negative. positive.... multiplication. division. addition. subtraction yes.. expression, equation. addition. multiplication. equivalent. expression, equation. solution. no 8. yes answers will vary Martin-Gay Prealgebra edition 8

6 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter Test A $. feet.,9 feet Test B. b. c. a. b. d. c. a 8. b 9. a 0. a. d. b. d. a. d. b. c 8. b 9. c 0. a. d. a. c. d. b. a. c 8. a 9. d 0. c. b. a. d Martin-Gay Prealgebra edition 8

7 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. combine like terms. coefficients variable. coefficient. unlike, like. 0x. a. y + 8. x 9. x 0. b. x +. 0x +. x. 8x 8. 8x. x 9. b xy 9. 9x + feet 0. 0x square inches. 00 square feet. 0 feet. 8x square feet.. simplify x + 9. x. x 8 8. x 9. 8x + 0. No, = 0 8. ( ) = 9. (8 ) = 0. 8 =. Martin-Gay Prealgebra edition 8

8 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. x = 8. = x. 8 x =. x = 0. x 8 =. (x ) = a. students. Ruth 0 mph, Frank mph. $ for CD s, $0 for DVD s. cars 8. 0 coats, sweaters 9. $8 Test A. x +. 8x +. x. 8x x x. x. x + 9 = 8. x + = males, females Test B. b. d. a. c. a. b. a 8. d 9. a 0. c. b. c. a. d. b. a. c 8. d 9. b 0. b Martin-Gay Prealgebra edition 88

9 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. fraction, numerator, denominator. proper, improper. mixed number. numerator: 8 denominator: undefined , x 9. 9xy 0. yes. no. no. no. yes yes.. multiplication. reciprocals.. x x x. x bc. a. 8., calories. $0.,, yes. $ 89

10 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. unlike, like. least common denominator. equivalent... x. 8. x x inch. inch. mile x y.. 8b x 8.. >. < cm 0 9. in 0., no..... x x

11 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. mixed number. whole number, fraction. improper > x. 8 + y x. x inch Test A x. 8. yes x 0. 8 x. x

12 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter feet. feet. square foot. 8 pieces Test B. b. c. d. a. c. b. c 8. d 9. a 0. b. c. a. d. a. d. c. b 8. a 9. c 0. b. d. c. a. a. b. b. a 8. b 9. c 0. a. d. a. c 9

13 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. six and forty-eight hundredths. twenty-four and three hundred seventy-five thousandths. negative seventeen hundredths. two thousand and one thousandth. one hundred six and four tenths <. > 8. > $8. answers will vary. 0.00, 0.0, 0.0, 0., no. no. 9.8x x. 9.. inches inches.. sum. right. left. circumference ,90, no. π inches,. inches calories 9..8 grams inches Martin-Gay Prealgebra Edition 9

14 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. left. division, dividend, divisor, right , gallons yards < 9. > 0. >. 0., 0., square inches. 0.9 square yards answers will vary Martin-Gay Prealgebra Edition 9

15 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. mode. average. median. mean no mode 8. no mode 9. 8, 0. 0, 0,, Test A. thirty-six and one hundred ninety five thousandths <. > x ,, no mode.,, square inches..9 yards Test B. b. c. c. a. b. c. d 8. c 9. d 0. b. b. c. d. a. d. c. d 8. d 9. a 0. b. c. b. a. b. c Martin-Gay Prealgebra Edition 9

16 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. unit. division. ratio printer 0. computers table. diners. calories/serving. books/student. pages/minute.. pages/minute. Pete. $0.0 per banana 8. $.0 for 0 ounces 9. $.0 for pens 0. Miles Miles/gallon proportion. ratio. cross product. =. =. =. false 8. true 9. false 0. false. false answers will vary 9. answers will vary attempts. goals. 0 accepted. 0 applied. 0 miles.. inches. 8. miles 8. 0 gallons 9.,800 square feet 0. bags. 8 hits. times. cup. brownies. 8 cups of flour. 0 weeks. 0 pens 8. cheetos mg 0. cups Martin-Gay Prealgebra Edition 9

17 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. square root. radical. perfect squares. a. leg b. leg c. hypotenuse. x + y = z inches and 0.. similar. congruent. yes. no. yes. yes inches. 8 feet. feet 8. x =, y =. 9. answers will vary 0. answers will vary Test A.. miles/hour miles/gallon. miles/hour 8. applicants/job 9. ounces for $.0 0. ounces for $.. true. false..... inches 8. hours 9. 0 ml inches. feet Martin-Gay Prealgebra Edition 9

18 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter Test B. b. a. c. b. d. b. c 8. d 9. a 0. a. b. a. d. c. d. a. b 8. a 9. c 0. d. b. b. c. a. c Martin-Gay Prealgebra Edition 98

19 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. per hundred. %. %. % %. %. 0.%. 00%. 0% 8. 8% 9. % 0. %..8%. 0.,. %. >. <.. is. of. 0.x = 80.. = 0.x. 0x =. = 90x. x = x = x = %. % % 9. 0% 0. 0% of what number is?.. percent, base, amount. amount. base. percent x. 80 = 00 x 8. = = x = x 00 0 x 9. = %. 00% % % of is what number? Martin-Gay Prealgebra Edition 99

20 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter.. 0 bulbs. defectives. 8%. 9 pages. 00 televisions. $0,000. $00 8., % 9., 0% 0., 0%., 0%., 0%., 8%. 0%. 0%. %. 0% 8. % 9. % 0. 00%.. $.. $.80. $0, $0.0. $0, $0. $0, $. $9.80. $9, $.9 9. $, $,000. $,000. $80,000. $., $8.. $.0, $0.80. $, $0. $0, $0. $00 8. $0, $00 9. $ % followed by %.. simple. compound. compound. simple. $, $0. $8, $8. $, $ 8. $, $8 9. $0, $80 0. $00. $80, $80. $80, $80. $,.8. $,.9. $.. $,.8. $ $. 9. $, $000, % for years Martin-Gay Prealgebra Edition 00

21 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter Test A %. 0%..% %. 8%..%. % % 8. 9 ml 9. $0, $.0. %. $0. $0. 8%. $. $80.. $.9 Test B. b. c. d. c. a. b. a 8. c 9. d 0. b. a. c. a. b. d. a. c 8. b 9. a 0. d. c. a. b. c. d. a. b Martin-Gay Prealgebra Edition 0

22 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter pictograph. line. bars. histogram, class interval, class frequency. Texas. California. $00,000, bicycling and basketball 9. calories 0. calories. Population in thousands Largest Cities in Texas Houston Dallas San Antonio. 0 students. students. students. Class Frequency 8. Number of Employees Years of Service El Paso Years. $00, th quarter 9. $00,000, $00,000, %. shoes algebra books 9. 0% 0. calculus and statistics books. 00 books. 0 books. 0%. 0%. action. romance th Quarter 0% Quarterly Sales Clothes 0% st Quarter % rd Quarter 0% nd Quarter % Acres in Gaines County Cotton 0% Expenses Other % Entertainmentt % Food 8% Wheat % Housing % Transportation % 8.. x, y. origin. quadrants. (0, 0). plane.. (-, ) (0, ) (-, -) (-, ) (0, ) (, ) (, ) (, 0) (, -) (, ) 8. A (, ), B (0, ), C (, ), D (, 0), E (, ) 9. F (, ), G (0, ), H, ), I (, 0), J (, 0. yes. no. yes. no. (0, ) (, ) (, 0) Peanuts 8% Martin-Gay Prealgebra Edition 0

23 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter (-, ) 8.. horizontal. vertical (0, 0) (, -). (, ), (, 8), (0, 0). (, ), (, 0), (, ) 8. (, ), (, ), (0, 0) 9. (, ), (, ), (0, ) 0. a) II, b) I c) III, d) IV Martin-Gay Prealgebra Edition 0

24 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter probability. probability.. 0. o o f f o o f f. a a b b a a b b. H HHH H T HHT H T H HTH T HTT H THH T H T THT T H TTH T TTT Martin-Gay Prealgebra Edition 0

25 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter 8 Test A. January. 00 puppies. 0 puppies. weeks th week. Test A. Test A Years 8 Life Expectancy. 9. Japan Canada United Kingdom United States Mexico Country 8. 0, to Class Frequencies 8. Number of Countries Life Expectancies (, ) 0. (0, ). (, ). (, ) Years..... H HH H T HT T H TH T TT Martin-Gay Prealgebra Edition 0

26 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter 8 Test B. a. c. a. c. a. c. c 8. c 9. a 0. d. b. c. a. c. a. a. c 8. c 9. b 0. c. d. c. a. c. b. d. c 8. a 9. d 0. b. c. b. a Martin-Gay Prealgebra Edition 0

27 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter adjacent. angle, vertex. ray. line. obtuse. acute. line, TS 8. ray, MN 9. angle, n PQR 0. line segment, IJ. nbac, ncab. right. straight. acute. obtuse nj =, nk =, nl =, nm = 9.. circumference. perimeter. diameter. pi. yd. cm. yd 8. in. 9. yd 0. ft. 0 yd. 80 in.. in.. mi. 0 cm. 8π. in.. 8π. in. 8. π 9. ft 9. π. 98 in ft 9.. square. cubic. square. surface area. volume. 8 sq m. 8 sq in sq in sq ft 0. 8 sq in.. sq ft. 90 sq cm. 80 sq ft. cu in., 80 sq in.. 9 cu cm, 8 sq cm. cu yd, sq yd. 8 cu in., sq in. 8. cu in. 9. cu ft 0. sq ft Martin-Gay Prealgebra Edition 0

28 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter ft. ft. in.. 8 in.. yd ft. ft in.. ft 8. mi 00 ft 9. 8 ft in yd ft. ft 0 in.. yd ft. 800 cm.. m.. m m. 8mm cm 9.. km 0. sq ft 9.. mass. weight oz. tons. tons pounds 9. oz 0. lb. lb oz. lb 8 oz. ton 800 lb. 0. kg. 0,000 g. 0 g. 0 mg g 9..8 g or 80 mg 0. 9 kg 9.. capacity. liter. c. pt. gal. 9 qt. gal qt 8. gal qt 9. c oz 0. gal qt pt. 0 gal qt. 000 ml. 9 ml.. kl. 0 L. 980 L. 8.9 L L or.0 ml ml 0..8 L Martin-Gay Prealgebra Edition 08

29 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter fl oz..9 qt. 8. cm.. km. 0 oz. 0 lb..9 mi ft 9.. gal 0.. fl oz. kg. g. F. 80. F. 90. F. F.. C C 9.. C 0.. C Test A in.. ft 8. C =. in. A =. sq in. 9. P =.9 ft A =. sq ft 0. P = 00 ft A = 8 sq ft. cu in.. 9 cu in.. 8 in.. 0 cu ft. ft, $. ft 8 in. qt 8. lb lb 0. gal. 0.0 g. 00 g. mm. 0.8 g. 90 ml. 8 qt. lb 0 oz 8. ft 9. gal qt km or 098 m. 0. cm or mm..9 C.. F Test B. b. c. d. a. a. c. d 8. b 9. d 0. b. c. d. a. d. c. b. a 8. b 9. c 0. d. a. b. d. c. c. a. d 8. b 9. a 0. b. c. d. a Martin-Gay Prealgebra Edition 09

30 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter trinomial. binomial. monomial. terms. x 9. a 9. x + x 8. y y + 9. x x 0. x +. x + x + 9. a +. x x. y. a a (8x + ) inches 0.. x 8. x. x. y 9. x y 0. x y 8. x 8. y 0 9. a 0 0. z. x. 8a. x y. a b 0 8. x y 0. x b 8. 9y x y z 9. x y 0. a b x 0x. 8ab + a b 8ab. a + a b 9a b. y y. 8x 8x. x x + 0. x 8. x 0x b b x + 0x +. x x 8. x x 0. x x + 0. x. x x x + 0. x 9x + 9x. y y + 9y 9 8. x 9. x x x x 0. ( x ) x + inches Martin-Gay Prealgebra edition 0

31 Copyright 008 Pearson Education, Inc., publishing as Pearson Prentice Hall Chapter y 8. b 9. x y 0. x. x. x. x ( x ). y ( 9y ). a ( a ). ( x ). x ( x x ) 8. x ( x ) 9. a ( a a + ) a a + a 0. x + or ( ) Test A. x 8. x + x. x +. x x 9.. x. a 8. x 9. x 0. b 8. a b c. x x. x + x x. x x 0. 9x x x. x x a a + a + 9. A = ( x ) x in. P = ( x ) in y. y ( y ). a ( a ). ( x x ) x x x +. ( ) Test B. b. c. a. c. d. a. b 8. c 9. d 0. b. c. d. a. b. d. c. d 8. a 9. b 0. c. b. a. d. c. a Martin-Gay Prealgebra edition

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