Pearson Learning Solutions

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1 Answers to Selected Exercises CHAPTER REVIEW OF REAL NUMBERS Section.. a. b. c.. a. True b. False c. True d. True. a. b. Ú c a. b. c., -, - d.,, -, -, -.,., - e. f.,, -, -,, -.,., -. a. b. c. =. a. b. c.. d. e.. a. = b. c. d. e. Vocabulary, Readiness & Video Check.. whole. inequality. real. irrational. To form a true statement: belongs to the whole numbers, the integers, the rational numbers, and the real numbers; because 0 is a rational number, it cannot also be an irrational number Exercise Set... = true. false. false. true. false.. Ú. -.,; -. -,000. 0; -. whole, integers, rational, real. integers, rational, real. natural, whole, integers, rational, real. rational, real. irrational, real. false. true. true. true. false =... 0 million million. 0 million pounds less, or -0 million. and 00 0.,,, Sun. Sun answers may vary Section.. a. # # # b. # # # #. a... a. b. c.. b. c a. b. c.. a. b. c. d. Vocabulary, Readiness & Video Check.. fraction. product. factors, product. equivalent. The division operation changes to multiplication and the second fraction 0 changes to its reciprocal 0.. The number is not in proper mixed number form as the fraction part,, should not be an improper fraction. Exercise Set.... #. # #. # #. # #. # # sq mi. sq ft ft. answers may vary 0. mi incorrect; 0 0 = # # # # # = 0. incorrect; + = Section.. a. b. c. d. e.. a. b. c. 00 or d. e..... a. b. c. d.. no. a. x b. x - c. x # or x d. x + e. + x. a. x + = b. x - = 0 c. x + d. Ú x Calculator Explorations..., Vocabulary, Readiness & Video Check.. base; exponent. variable. equation. solving. The replacement value for z is not used because it s not needed there is no variable z in the given algebraic expression.. We translate phrases to mathematical expressions and sentences to mathematical equations. A Z0_MART_0_AIE_ANS.indd // :0 AM

2 A Answers to Selected Exercises Exercise Set a. b. c. d... ; ; ;. yes. no. no. yes. no. x +. x -. x. x +. + =,.,. + x = 0..x =. - x =. multiply. subtract. no; answers may vary 0. in., sq in. 0. in.,.0 sq in. 0. Rectangles with the same perimeter can have different areas #, 0. a. expression b. equation c. equation d. expression e. expression. answers may vary. answers may vary, for example, +.,000 sq ft. mph Section.... a. - b a. - b. c a. - b. - c. 0. d.. a. - b. -. F. a. b. - c d. 0. a. - b. c. y d. Vocabulary, Readiness & Video Check.. opposites. n. absolute values. Negative temperatures; the high temperature for the day was - F Exercise Set = ft. $. million yes. no. July. October.. F negative. positive. true. false 0. answers may vary 0. answers may vary Section.. a. - b. - c. d. -. a. 0. b. - b.. $. a. b. c a. - b... a. -0 b.. a. Vocabulary, Readiness & Video Check.. - x. x -. - x ; d. addition; opposite. There s a minus sign in the numerator and the replacement value is negative (notice parentheses are used around the replacement value), and it s always good to be careful when working with negative signs.. In Example, you have two supplementary angles and know the measure of one of them. From the definition, you know that two supplementary angles must sum to 0. Therefore you can subtract the known angle measure from 0 to get the measure of the other angle. Exercise Set F. F., ft. -0 ft., ft no. no. yes. - + x x. -. ;. ; ;. ;.. May. answers may vary true; answers may vary 0. false; answers may vary 0. negative, -0, Integrated Review. negative. negative. positive. 0. positive. 0. positive. positive. - ; 0. ;. ;. - ; Z0_MART_0_AIE_ANS.indd // :0 AM

3 Answers to Selected Exercises A Section.. a. -0 b. c. -. a. -0 b. c. 0 d.. a b. - c.. a. b. - c. - d. -. a. b. c. - d. -. a. - b. - c.. a. b. - c. - d. -. a. 0 b. undefined c. undefined. a. - b. 0. a. - b. c.. - Calculator Explorations ,., Vocabulary, Readiness & Video Check.. 0; 0. positive. negative. positive. The parentheses, or lack of them, determine the base of the expression. In Example, -, the base is - and all of - is raised to the fourth power. In Example, -, the base is and only is raised to the fourth power.. Yes; because division of real numbers is defined in terms of multiplication.. The football team lost yards on each play and a loss of yardage is represented by a negative number. Exercise Set true. false undefined # x x or -x. - - x. - + x. - or x, -. # - = -; a loss of yd. -0 = -00; a depth of 00 ft. yes. no. yes. - F. answers may vary., -. positive. not possible. negative ; ; - Section.. a. # x b. + x. a. + + b. - # #. a. x + b. -0x. a. x - y b. - - t c. x - y - z d. - + y e. -x + - s f. x +. a. w + b. w + z. a. commutative property of multiplication b. associative property of addition c. identity element for addition d. multiplicative inverse property e. commutative property of addition f. additive inverse property g. commutative and associative properties of multiplication Vocabulary, Readiness & Video Check.. commutative property of addition. distributive property. associative property of addition. opposites or additive inverses. is outside the parentheses, so the point is made that you should only distribute the - to the terms within the parentheses and not also to the. Exercise Set.. + x. y # -. yx. + x. x # yz. + a + b. a # b. a + b + c. + b. y. y. + a. -x. s. + x. x + y. x -. x + 0. x -. + x. -y + z. -y -. x + 0m m - n. -x -. -r + + p. x +. -x + y. r +. -x x -. + y. x + y. - + x. 0a + b. commutative property of multiplication. associative property of addition. distributive property. associative property of multiplication. identity element for addition. distributive property. commutative and associative properties of multiplication. -;. -x; x. x; -x. false. no. yes. yes. no 0. a. commutative property of addition b. commutative property of addition c. associative property of addition 0. answers may vary 0. answers may vary Chapter Vocabulary Check. inequality symbols. equation. absolute value. variable. opposites. numerator. solution. reciprocals. base; exponent 0. denominator. grouping symbols. set Chapter Review.... =.. Ú a., b. 0,, c. -, 0,, d. -, 0,,,,. e. p f. -, 0,,,, p,.. Friday. # # # A = sq m; P = m. lb. lb. Baby E. c = #.... yes Z0_MART_0_AIE_ANS.indd // :0 AM

4 A Answers to Selected Exercises.. -. a. $ undefined. undefined # x or -x x. commutative property of addition. distributive property. associative property of addition 0. distributive property 0. multiplicative inverse property 0. y x - z 0. -z ft Chapter Getting Ready for the Test. A. C. B. A. A. B. B. A. A 0. B. C. D. B. C. B. C. C. A Chapter Test Ú undefined =. 0,. a., b. 0,, c. -, -, 0,, d. -, -, 0,,,,. e., p f. -, -, 0,,,,.,, p associative property of addition. commutative property of multiplication 0. distributive property. multiplicative inverse property.. -. second down. yes.. $0 million. $0 CHAPTER EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING Section.. a. b. - c. - d. e. -. a. like terms b. unlike terms c. like terms d. like terms. a. y b. x c. x + x d. y. a. y - b. x - c. - t d..y + e. z - z. a. x - b. -x +.z + c. -x + y - z +. a. x + 0 b. -x + c. -0x -. -x +. a. x + b. x - c. x + 0 d. x Vocabulary, Readiness & Video Check.. expression; term. numerical coefficient. numerical coefficient. Although these terms have exactly the same variables, the exponents on each are not exactly the same the exponents on x differ in each term.. - Exercise Set like. unlike. like. y. w. -b -. -m x -.. x -. x..x +.. y x -. d -. -0x + y x + y -. x +. 0x -. -x -. -m -. k -. -x +.. x +. x +. k x y x. 0.m x - y. -x -. x -. x -. x +. x x. x + or x +. x - 0. x x - ft. balanced 0. balanced 0. answers may vary 0. x + in. 0. answers may vary 0. b c + b c. x + x. -x y Section a. b. - x c. - x ft. s -. mph Vocabulary, Readiness & Video Check.. equation; expression. solution. addition. both sides. x Exercise Set p. 0 - x ft. 0 - x. n -,000. x sq mi x. y. x. - x. answers may vary. answers may vary. 0 ml. answers may vary. ;. answers may vary 0. solution 0. not a solution Z0_MART_0_AIE_ANS.indd // : AM

5 Answers to Selected Exercises A Section Vocabulary, Readiness & Video Check.. multiplication. false. same. x + + x + = x + 0. x + Exercise Set x +. x +. x + 0. x -. z +. -a -.. =. -. answers may vary. answers may vary. 00 mg Section no solution. all real numbers Calculator Explorations.. solution. not a solution. solution Vocabulary, Readiness & Video Check.. equation. expression. expression. equation. ; distributive property, addition property of equality, multiplication property of equality. The number of decimal places in each number helps you determine the least power of 0 you can multiply through by so you are no longer dealing with decimals. Exercise Set all real numbers. no solution. no solution. all real numbers all real numbers no solution all real numbers. - - x. - + x. x + 0. x - m. a. all real numbers b. answers may vary c. answers may vary. A. B. C. answers may vary. a. x + x + x + x + x = b. x = c. x = cm; x = cm. answers may vary no solution Integrated Review no solution all real numbers no solution all real numbers no solution. no solution Section.... in. and in.. Republican and Democratic governors.,, 0.,, 0 Vocabulary, Readiness & Video Check.. x; x -. x + ; x y; 0 - y or 0 - y,. in the statement of the application. That the angle measures are consecutive even integers and that they sum to 0. Exercise Set.. x + = x; -. x - = x + ;. x - = x + ; x = x - ;. in.; in.; in.. st piece: in.; nd piece: 0 in.; rd piece: in..,;,; In 0,, screens were D.. st angle:. ; nd angle:. ; rd angle: 0. x +. x + ; x + ; x +. x + ; x + ; x + ; x +. x + ; x + ; x +., Z0_MART_0_AIE_ANS.indd // : AM

6 A Answers to Selected Exercises. Belgium: ; France: ; Spain:. Sahara:,00,000 sq mi; Gobi: 00,000 sq mi. ft, ft.. Botswana:,000,000 carats; Angola:,000,000 carats., 0,. Netherlands: ; Canada: ; Norway:. -.,... Maglev: mph; Harmony: mph.. California: ; Montana:.. st piece: ft; nd piece: ft; rd piece: ft. Call of Duty: Advanced Warfare. Destiny:. million; Madden NFL :. million. answers may vary.. p. ft by ft. 00 chirps per hour;,00 chirps per day;,0,000 chirps per year. answers may vary. answers may vary. c Section.. sec or min sec. ft.. F. length: in.; width: in.. R = I PT A - ab. B = a. s = H - 0a a. d = N - F n - Vocabulary, Readiness & Video Check.. relationships. To show that the process of solving this equation for x dividing both sides by, the coefficient of x is the same process used to solve a formula for a specific variable. Treat whatever is multiplied by that specific variable as the coefficient the coefficient is all the factors except that specific variable. Exercise Set.. h =. h =. h = 0. c =. r.. T =. h. h = f. w = V. y = - x g lh. R = A - P. A = V. a = P - b - c. h = S - pr. 0 ft. a. area: 0. sq ft; perimeter: ft PT h pr b. baseboard: perimeter; carpet: area. a. area: 0 sq in.; perimeter: 0 in. b. frame: perimeter; glass: area. -0 C. length: ft; width: ft. ft, ft, ft.. mph. piranhas.. F. 0 chirps per minute. increases. bags. one -in. pizza. x = m,.x = m. hr. in... hr.,00 ft. 0 C.. F. cu in or. %. 0%. multiplies the volume by ; answers may vary.. V = GN - R.. 00 sec or min. 0. ft.. min. mph Section...%. 0. a. % b. % c.. million dogs. discount: $0; new price: $..%.,0 screens. liters of % eyewash; liters of % eyewash Vocabulary, Readiness & Video Check.. no. yes. a. equals; = b. multiplication; # c. Drop the percent symbol and move the decimal point two places to the left.. You must first find the actual amount of increase in price by subtracting the original price from the new price. Exercise Set.... %. 0. %.. million sq mi. discount: $0; new price: $,00. $...%. 0%. $0. $,00. gal. lb %. min..%. %; %; %; %; 0% due to rounding. decrease: $; sale price: $..%. million. 00%. 00 oz. %. 0 employees. college students. 00 oz. thousand Scoville units.. =.. no; answers may vary. no; answers may vary..%..%; yes..% Section... hr. eastbound: mph; westbound: mph. 0 $ bills; $0 bills. $,000 at.%; $,000 at % Vocabulary, Readiness & Video Check.. r # t = d. P # R # T = I bus x x ; x = 0x + x x ; 0.0x = 0.0,000 - x car 0 x + 0x +,000 - x ,000 - x Exercise Set.. mi. mph. 0.0 y. 0.0x +. 0y or 0y. 0 - x. $0 bills; $ bills. $,00 at %; $,00 at %. $000 at % profit; $000 at % loss. adult tickets; child tickets. hr. $0,000 at %; $,000 at 0%. hr min. mph; mph. dimes; nickels. hr.. hr. $00.. mph;. mph.. mi $00 bills; $0 bills; $0 bills. skateboards. 00 books. answers may vary Z0_MART_0_AIE_ANS.indd // : AM

7 Answers to Selected Exercises A Section.. -,. -,. -,. -,.,.. -, 0.. Kasonga can afford at most classes. -, -. -,. a -, b. 0, 0 a -, b. all numbers less than 0 0 Vocabulary, Readiness & Video Check.. expression. inequality. -. The graph of Example is shaded from - to and including -, as indicated by a bracket. To write interval notation, you write down what is shaded for the inequality from left to right. A parenthesis is always used with -, so from the graph, the interval notation is -, -].. You would divide the left, middle, and right by - instead of, which would reverse the directions of both inequality symbols. Exercise Set.... x Ú -. x -,. x,. x -,. x -, x Ú. x -. -, -.,. x -, -, -. x Ú -, -,. x -, -,. x, -,. x -, -, -. x -,,. x Ú 0, 0,. x, 0 -,. x -, 0 -,. x 0, 0 a -, 0 b -, a -, - d. x, -, 0. x 0, 0 -,, -, - a, b -, 0. x,,. x a, b. -,. 0 0,. -,.,.,.,. 0 a0, d. all numbers greater than -0. cm. at least. people. at least min. - x..... Ú. when multiplying or dividing by a negative number. final exam score Ú.. answers may vary. answers may vary. 0. d 0..,. a -, b Chapter Vocabulary Check. like terms. unlike terms. linear equation in one variable. linear inequality in one variable. compound inequalities. formula. numerical coefficient. equivalent equations. all real numbers 0. no solution. the same. reversed Chapter Review. x. x -. n -. -x +. x ;. b. b x no solution in.. Target Canada: ; Target US:.. w =. m = y - b. x = y - x. p = C D. m. hr 0 min. 0%. 0. mark-up: $0; new price: $0. 0% solution: 0 gal; 0% solution: 0 gal. %. customers. %. 0 km. 0 nickels. 0,. [0.,.). -, -. -, ]. a -, b 0. $ all real numbers h = V A. -, 0] 0 Chapter Getting Ready for the Test. C. A. D. B. B. C. B. A. C 0. C. B. D 0. a -, d. 0., 0.. Z0_MART_0_AIE_ANS.indd // : AM

8 A Answers to Selected Exercises Chapter Test. y - 0..x +.. -x y no solution. x =. h = V x - 0 pr. y =. a-, b 0. a, b. hr. tornadoes. 0%. % Chapter Cumulative Review. -, -] ,.. ft by ft. 0, 0. $00 at 0%; $,000 at %. a., b. 0,, c. -, -, 0,, d. -, -, -., 0,,, e. f. all numbers in the given set; Sec.., Ex.. a. b. c. 0 d. e..; Sec.., Ex.. a. # # # b. # # ; Sec.., Ex.. ; Sec.., Ex.. ; Sec.., Ex. 0. is a solution; Sec.., Ex.. -; Sec.., Ex.. ; Sec.., Ex.. a. 0 b. c. x d. -; Sec.., Ex. 0. a.. b. - c. ; Sec.., Ex.. a. b. ; Sec.., Ex.. a b. - c. ; Sec.., Ex.. a. b. - c. - d. - ; Sec.., Ex.. a. + x b. x # ; Sec.., Ex.. a. + x b. s + t; Sec.., Ex.. -x - ; Sec.., Ex.. ; Sec.., Ex.. ; Sec.., Ex.. 0; Sec.., Ex.. ; Sec.., Ex.. 0; Sec.., Ex. V. wh = l; Sec.., Ex.. -, -0] ; Sec.., Ex. 0 CHAPTER GRAPHING Section.. a. Oceania/Australia region, million Internet users b. million more Internet users. a. 0 beats per minute b. 0 beats per minute c. minutes after lighting.. a. (00, ), (00, ), (00, ), (0, ), (0, ), (0, ), (0, ) b. Number of wildfires (in thousands) Wildfires. a. yes b. yes c. no. a. 0, - b. (, ) c. -, -... x y x y x 0 a. - b. - c. 0 0 a b. 0 - c. 0 0 y,000 0, Vocabulary, Readiness & Video Check.. x-axis; y-axis. quadrants; four. one. horizontal: top tourist destinations; vertical: number of arrivals (in millions) to these destinations. Data occurring in pairs of numbers can be written as ordered pairs, called paired data, and then graphed on a coordinate system.. a linear equation in one variable Exercise Set.. China. France, U.S., Spain, and China. million.,000. 0; 0, from 00 to to 0. Q, R (, ) and (.,.) are in quadrant I, a -, b is in quadrant II, -, - is in quadrant III,, - y Dollars (in billions) Year (, 0) (, ) y (, ) (0, ) (, ) (, 0) (, ) (, ) (.,.) x (0, ) (, ) Q, R (, ) Q, R x (, ) and a, -b are in quadrant IV, -, 0 lies on the x-axis, 0, - lies on the y-axis. (0, 0). (, ). -, -., -. 0, -. (, ). -, -. a. (00,.0), (0,.), (0,.), (0,.0), (0,.0) b. In the year 0, the worldwide box office was $.0 billion. c. Worldwide Box Office d. The worldwide box office increased every year.. a. (0.0, 0), (0., ), (.00, ), (., ), (.0, ), (.0, ), (., ), (.00, 0) b. When Minh studied. hours, her quiz score was. c. 0 d. answers may very Hours spent studying Year Quiz score Z0_MART_0_AIE_ANS.indd // : AM

9 Answers to Selected Exercises A Sec.., Ex.. domain: -, 0, ; range: -, 0,, ; Sec.., Ex.. a. function b. not a function; Sec.., Ex.. one solution; Sec.., Ex.. a, b; Sec.., Ex.. (, ); Sec.., Ex.. and ; Sec.., Ex.. y ; Sec.., Ex. x x y CHAPTER EXPONENTS AND POLYNOMIALS Section.. a. b. c. d. - e. f g.. a. b.. a. 0 b. y c. z d. x e. - f. b # t. y. a. y z b. -m n. a. z b. c. -. a. p r b. b c. x y d. a b c x. a. y 0 b. a0 b. a. z b. c. d. q t e. x y z 0. a. - b. c. d. e. f.. a. b. x c. y. a. b. x c. y d. -z 0 Vocabulary, Readiness & Video Check.. exponent. add.. Example can be written as - = - #, which is similar to Example, #, and shows why the negative sign should not be considered part of the base when there are no parentheses.. Be careful not to confuse the power rule with the product rule. The power rule involves a power raised to a power (exponents are multiplied), and the product rule involves a product (exponents are added).. the quotient rule Exercise Set.. exponent: ; base:. exponent: ; base:. exponent: ; base: x x. -. y. x y. -m n. -z 0. 0x sq ft. x. p q. a. x 0 y. a b 0 c. r s. m p n. x z y 0. z 0 sq dm. y cu ft. x. -. p q. y b. a. -x. a b 0. m n. z 0. a b. x y z 0. x 0. x y 0. y 0. x 0. x y. x. y. -b. y x -. -x +. C. E. answers may vary. answers may vary. cu m. volume. answers may vary. answers may vary. x a. a b. x a. $0. Section.. a. degree b. degree c. degree 0. a. trinomial, degree b. binomial, degree c. none of these, degree.. a. b.. ft; ft. a. -y b. z + z c. x Term Numerical Coefficient Degree of Term -x y - d. a - e. x + x - x. -x + xy + y xy. x + x + + x + x ; x + x +. -x - x x + 0x - x -. z + z + z. x - -y -. x - x + x -. -z - z +. x - x. a. -a - ab + b b. x y - 0xy - xy - y Vocabulary, Readiness & Video Check.. binomial. trinomial. constant. The degree of the polynomial is the greatest degree of any of its terms, so we need to find the degree of each term first.. simplifying it Exercise Set.. ; binomial. ; none of these. ; trinomial. ; binomial... a. - b. -. a. - b.. a. b.. ft. 00 ft. 0 thousand. -x. x. x - y. s. -.y +.. x - x -. - x + x +. a - ab + b. a +. -x +. -x x +. x + x - Z0_MART_0_AIE_ANS.indd // : AM

10 A0 Answers to Selected Exercises. t -. -z - z +. x - x + x +. x +. x +. y x + x -. x +. a - a +. x -. x - x +. x - x +. y + y +. x + x + x + x; x + x. -a - b +. x +. x - xy + y. r s + rs - + r s. -.x +.x -...y - 0.y +.y -. x. -x. 00x y. x +. x + x + ft 0. y + y + m 0. 0 million users 0. answers may vary 0. answers may vary 0. B. E. a. z b. z c. -z d. z ; answers may vary. a. m b. m c. -m d. -m; answers may vary. ;. ; ; ;. x + xy Section.. 0y. -z. b. a. x + x b. -x + x - x. 0x + x -. x - 0xy + y. y + y - y + 0. s + s t + st + t. x - x + x x - x + x - x +. x - x + x + x - Vocabulary, Readiness & Video Check.. c. distributive. c. y - y -. No. The monomials are unlike terms.. Yes. The parentheses have been removed for the vertical format, but every term in the first polynomial is still distributed to every term in the second polynomial. Exercise Set.. -n 0. -.x. - y. -x. x + x. -a - a. x - x + x. -a + a - a. -x y + x y - xy - y. x - x + x. x + x +. a + a -. x + x -. x + x +. y - y +. x - x +. x + x +. a. -y b. y c. answers may vary. x - x + x -. x + x - x - x a - a + a -. x + x + x +. y - y + y -. x - x -. 0x + x - x -. x + x - x + x +..y. -x - x + x. x + x +. x - x -. y + 0y +. a - a - a +. x - 0x + 0x -. x + x - x - 0. x - x - x + x -. x - sq yd. x - x sq in.. a + a = 0a; a - a = -0a; a # a = a ; a a =. -y + y, can t be simplified; -y - y, can t be simplified; -y # y = -y ; -y y = - y. a. x + b. x + x + ; answers may vary. x -. 0x - x +. -x +. x + x. x + x +. a. x + y. a. a - b b. x - y c. x - d. answers may vary. x + x + sq units Section.. x - x - 0. x - x +. x + x -. x - x +. a. b + b + b. x - xy + y c. y + y + d. a - 0a b + b. a. x - b. b - c. x - d. s - t e. y - z. a. x - x - b. b - b + c. x - 0. d. x - x + x - e. x + x + x - Vocabulary, Readiness & Video Check.. false. false. a binomial times a binomial. Multiplying gives you four terms, and the two like terms will always subtract out. Exercise Set.. x + x +. x + x - 0. x + x -. 0y - y + 0. x + x -. x + x -. x + x +. x - x +. a - 0a +. x + 0x +. a -. x -. x -. x - y. x a + a + 0. a + a +. a - a -. x -. a + a +. x - x y + xy - y. x - x - x +. a - a +. x - z. x 0 - x +. x a + a - a -. x - x +. b - b -. p -. a -. x - x + 0x. r - s. x - xy + y. x -. x + x +. a - y. x - y. a + a +. x + x + sq ft or x + x + sq ft. b. -a 0 b. y... C. D. ;. x - x + sq m. x - x + sq m 0. x + 0x + sq units 0. answers may vary 0. answers may vary 0. answers may vary 0. x + xy + y -. a - a + - b Integrated Review. x. y. -.. x - x -. x + x - 0. x -. x +. x y 0. 0b. m n. y z 0. y -. x -. x y. x. x - x -. x + x - Z0_MART_0_AIE_ANS.indd 0 // : AM

11 Answers to Selected Exercises A..y - y x -.x -.. x + xy + y. y - yz + z. x + y. y - z. x - 0xy + y. -a - ab + b. x + x - x +. x - x - x -. x + 0x - x x + x - x -. x - x + x -. x + x - x +. cannot simplify. x y. x. x y. x. x Section.. a. b. y c. d. e. x. a. s b. c. y x d.. a. x b. y c. z d.. a. b a 0 b. x 0 q c. p d. y x e. -x y. a. * 0 - b..0 * 0 c.. * 0 - d.. * 0. a b.,,000 c d. 0. a. 000 b. 0,000,000,000 Calculator Explorations... EE.. EE -.. * 0.. * 0 Vocabulary, Readiness & Video Check.. b. x. c. scientific notation. A negative exponent has nothing to do with the sign of the simplified result.. When you move the decimal point to the left, the sign of the exponent will be positive; when you move the decimal point to the right, the sign of the exponent will be negative.. the quotient rule Exercise Set.... x p. q p. x. z.. -p. -. x. p. m. r. x y. x. a. k. m. - a. - x b y. a0 b. x 0 y. z. x. a b. a b. x y y x. - x. - y. b a.. * 0.. * * * 0. * 0.. * ,0. 00,000,000.,0,000,000,000. $. * 0. $,000,000,000. $, , x 0. z y 0. y - +. y x z cu in.. a. -. answers may vary. a.. * 0 b.. * 0 c.. * 0 -. answers may vary. a m. y z sec Section.. t +. x + x -. x y x +. x + + x x x + or x x + x - x + -. x x + - x - + x - x. x - x + + Vocabulary, Readiness & Video Check.. dividend, quotient, divisor. a. y. the common denominator. x - x x + or Exercise Set.. x + x. x - x + x +. p + p. - x +. -x + x - x. - + x - x. x +. x +. x + +. a - a + +. x + -. x + x - -. x +. x + x + x - a + x + x -. -x + -. b - -. ab - b. x +. x + xy - y. b + b + - x + b - b +. x - +. x - x -. x - -. x -. -x + x -. x + x + x + x + x. y + y x - -. x - x + x. a + a. x + x - 0x y - x -. -x y - x y - xy. a b c + ab c - ab. x + x - ft. c. answers may vary. x + m. x a - x a + x a - Chapter Vocabulary Check. term. FOIL. trinomial. degree of a polynomial. binomial. coefficient. degree of a term. monomial. polynomials 0. distributive Z0_MART_0_AIE_ANS.indd // : AM

12 A Answers to Selected Exercises Chapter Review. base: ; exponent:. base: ; exponent: y. -x. x. y. x. a b. x y. 0a.. b ft; ft; ft; 00 ft. a. a + a. -a b - b - q. x + x +. -y -. -x + x +. x - y. a +. -x - x. -a + a - a. x - x -. x - x +. a + a -. x + 0x +. x + x + x + x -. x + x + x -. x + x + x +. x + x +. x - x +. x - 0x +. x -. x -. x - x + sq m.. x... x. r. c 0. x y 0. a m 0. x y z 0.. * * 0.. * 0., ,,0,000,000, x + x. a + + a -. a + a + +. x - x + -. x x - x ft. -. x x. y. x -. y - y -. x + x. x + x - x +. x + 0x +. a - + a - a. x + x + + x - Chapter Getting Ready for the Test. C. A. E. D. F. C. E. I. C 0. D. C. B. F. D Chapter Test x. y. r. y x. xy 0.. * 0.. * , a., ;, ;, ; -, 0 b.. -x + xy +. x + x - x -. -x + x + x +. x + x + x - 0. x + x + x +. x - x + x. x + x -. x -. x - x +. x + x +. x - b. 00 ft; ft; ft; 0 ft. x - sq in. x. y + - y 0. x +. x - x + - x + Chapter Cumulative Review. a. true b. true c. false d. true; Sec.., Ex.. a. b. 0 c. ; Sec.., Ex.. a. b. c. d. e. ; Sec.., Ex.. a. -0 b. - c. -; Sec.., Ex.. -; Sec.., Ex.. a. b. c. - 0 d. - ; Sec.., Ex.. a. + + b. - # # ; Sec.., Ex.. a. + x b. -x; Sec.., Ex.. a. x + 0 b. -y - 0.z + c. -x - y + z - ; Sec.., Ex.. ; Sec.., Ex.. ; Sec.., Ex.. -; Sec.., Ex. F ; Sec.., Ex.. width: ft; length: 0 ft; Sec.., Ex.. = C; Sec.., Ex.. ; Sec.., Ex.. a. (0, ) b. (, ) c. -, ; Sec.., Ex.. y y ; Sec.., Ex.. ; Sec.., Ex. x y (0, ) (, ) (, ) (, 0) x x (, ) (, ). undefined slope; Sec.., Ex.. y a - x ; Sec.., Ex.. -x ; Sec.., Ex.. -x + x + ; Sec.., Ex. x y x. x - xy + y ; Sec.., Ex.. m + ; Sec.., Ex. CHAPTER FACTORING POLYNOMIALS Section.. a. b. c.. a. y b. x. a. y b. x c. a b. a. t + b. y y +. b -b + b - or -b b - b +. xx -. z z + z -. ab ab - a +. y - + x 0. p + qxy -. x + y +. x - x +. x + yy -. a + a +. y - x -. cannot be factored by grouping. x - ay - a Z0_MART_0_AIE_ANS.indd // : AM