7.1 Guided Practice (p. 401) 1. to find an ordered pair that satisfies each of the equations in the system. solution of the system.

Transcription

1 CHAPTER 7 Think and Discuss (p. 9). 6,00,000 units. 0,00,000 6,00,000 4,400,000 renters Skill Review (p. 96) 9r 4r 6r d.d d 4. w 4 w 4 w 4 w 4 w g g 9 g 7 g 6 g all real numbers?? >? 6 Lesson ,, solution 0,, 0 not a solution 9,, 9 9 not a solution 7 8 > 6,, > 6 not a solution Developing Concepts Activit 7. (p. 97) Drawing Conclusions (p. 97). All the students whose ordered pairs are solutions of Equation are in a line, as are all students whose ordered pairs are solutions of Equation. The ordered pair belonging to the student in both lines is the onl ordered pair that is a solution of both equations. If two lines intersect, the intersect in onl one point, so there is no other solution of both equations.., 4 4., 4, 4, 4 The intersect at,. The intersect at, no solution Algebra Chapter 7 Worked-out Solution Ke 4. 4, 4, The intersect at,. 6. The solution of such a sstem is the ordered pair whose graph is the intersection of the graphs of the linear equations. 7. Guided Practice (p. 40). to find an ordered pair that satisfies each of the equations in the sstem. Determine the coordinates of the point of intersection and substitute them into each equation. The intersection is 0,. Since 0 and 0, 0, is the solution of the sstem.. not a solution 4. not a solution 6. not a solution 6. solution 7. 4 ; 4 0; 4, is not a solution of either equation; 4 6; 4 6; 4, is not a solution of either equation; 4 6; 4 6; 4, is not a solution of either equation; 4 ; 4 0; 4, is a solution of both equations so it is a solution of the sstem. 8.? (, ), (, ), (, ) 0?,. The intersect at,.???? Copright McDougal Littell Inc.

2 7. Practice and Applications (pp ).. 6? 6? 6 7 6? 7? 7 7, is a solution., is a solution ? 4? 9 9 9, 6 is not a solution ? 4, is a solution.. 7 7? 0, is not a solution , 6? 6 4? ? ? 4 6, is a solution , 4 6? 4? , 0 6 0? 0? (6, 6) 6 6 6, 6. 4 (, 0), 0. (, ) 9? 9 9 9, (6, 6) ? , 6. 0? ? (, )?,? ( 4, ) 4? 4, ? Copright McDougal Littell Inc. Algebra 47 Chapter 7 Worked-out Solution Ke

3 6. 0. (, ) (, ) ??? 0 7? 0,, (, 4) (8, 6) ? 6 4 4, 4 4? ? , ? (0, 9) (, ) ? , ? ?,? ( 8, 4) (, ) ? 6 6 6?,? ? , 4 48 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

4 4..,000 mi 6. 40: morning class 8 : evening class The number of people will be the same in months. 7. coastal: 0.t inland: 0.t weeks 400 loads 4. A (, )?, 4 4. C U.S. Population Coastal Inland Years since a. The linear sstem represents the equations relating to both sides of the original equation. The -coordinate of the intersection of the graphs is the solution of the original equation. Attendance Percent ? Aerobics Classes (, 46) Time (months) ? 4 t 0, 0. 0, b Mied Review (p. 40) ? w w w z z 6 4 b 0 4 b b 4? 4 4? 9 z 9 (4, 9) c. 4? 4 (, ) a b a 8 7 a 4 4, 9 (, 4) (, 4) b 4 4 b Copright McDougal Littell Inc. Algebra 49 Chapter 7 Worked-out Solution Ke

5 . 4 b 6. b. Equation : Equation : 4 b 4 b b 9 b b 8. b 4. Equation : Equation : b b 8 7 b 7 7 b 7, 7 9. < 460. To check the solution algebraicall, substitute for and 7 for into each of the original equations. To check 460 graphicall, graph both equations. The lines should intersect at, Technolog Activit 7. (p. 404) 7..,. 7 6.?. 6.? ,. 8..,., 8 8.?..? , , ? 0..?, 7,, , ? ? Approimate solution:, The lines are parallel. Since the do not intersect, the, sstem has no solution.,. Lesson Guided Practice (p. 408). You ma choose either equation. It is equall simple to isolate in either equation.. Equation : ; Equation : , 0 0 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

6 Practice and Applications (pp ) 74,, 4. Sample answer: I would use equation to isolate because it is eas to do so and the value is eas to substitute into the other equation.. Sample answer: I would isolate m in the second equation because it is eas to do so and the value is eas to substitute in the other equation. 6. Sample answer: I would use equation to isolate d because d has a coefficient of. It would be simple to divide b to get a coefficient of. 4 s t t s t t t 6 t 6 4 s 4 s 9 6, 9, c d a c d 0 a b d 4c 0 a 4 c 4c 0 4 b 6c 0 b 6c 8 c 4, d 4 0 d 8, 8.., w u w u 60, 7 w u 60 u 60 u u 80 u u 68 w w 08 08, 68. p q 4 4p q p q 4 4 q 4 q 4q 6 q q q p 4, 9 p, u v u v 0 u v 7v v 0 8v 0 v m n m n 0, 0 m n n n 0n n 7n 8 n 4 m 4, m 7 7, 4 a b a b b a 4 9a a 4 9a a 0 6a b 7 4 b 7, a 7 0, 0 Copright McDougal Littell Inc. Algebra Chapter 7 Worked-out Solution Ke

7 ,,. 7g h g h 9 g h 9 7 h 9 h 4h 6 h h 6 h g 9 g, 4. 8 p 4 q 7. The variables are p q 4 eliminated, leaving q p 4 a statement that is q p 4 alwas true. This 8 p means that ever 4 p 4 7 ordered pair, for 8 p 9 8 p 7 which 9 0 is a solution of the 8 p 0 sstem. p 8 q 8 4 q 8 8, , 0, , 6 0, , 4, 4 I sold 7 student tickets and 88 general admission tickets. Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

8 There are 8 -point questions and 0 -point questions. 46. Let u meters uphill Let d meters downhill u d 7 u 80 d I ordered 0 -inch softballs and 0 -inch softballs u d 7 u d 0 u d 7 d 7 d d 7 8d 4,00 d 8,9 8d 4,00 7d 47 d 67 u 67 7 u 88 I ran 88 m uphill and 67 m downhill. 48. The graphs of the equations intersect at 0, which means that 0, is the solution of the sstem There is $7 invested in EFG and $ invested in PQR.. The graphing method provides a visual interpretation of the solution, but if the coordinates of the solution are not integers, the ma be difficult to estimate without a graphing calculator. The substitution method gives an eact solution and ma be quicker and simpler in some cases, but ma involve complicated arithmetic in others , Hawaii: 6, 9 7. Mied Review (p. 40) g h g h 6g 6 p m m p p 6m m p 9m , , Tahiti: 49, , ; The point 0, is a solution of each equation in the sstem. 0. substitution Copright McDougal Littell Inc. Algebra Chapter 7 Worked-out Solution Ke

9 Add the equations, solve for, then substitute in either original equation to solve for. 64. < > and and > > < < < 7 or < or 6 > > < or > > 4 or < > 6 or > or < < Lesson Guided Practice (p. 44). to obtain coefficients that are opposites for one of the variables, so that the variable can be eliminated b addition. When multipling the second equation b, 4 becomes 8, not The right side of the first equation was not multiplied b. Also, 9 7 6, not , 9 0 0, ,. Multipl either equation b, solve for, then substitute in either original equation to solve for. 0 Multipl b Multipl the second equation b 4, solve for, then substitute in either original equation to solve for. 4 7 Multipl b 4 7. Subtract from each side of the first equation, solve for, then substitute into either original equation to solve for. Subtract from each side 0 6, 7. Practice and Applications (pp ) , , a b 8 a b 0 a 8 a 4, b 0 b 6 4, 6 m n m n n n m m,, 4 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

10 . 4. p 4q p q q q p 4 p g h g h g 4 g 8 8 h h 6 h 6, 8, Multipl b 7. w v Multipl b w v 4.. w, v, 8. Multipl b 6 9. g h 0 Multipl b g h Multipl b v w v w 4 v v w w w 0 4, , 0, w v w v 4 v 9 v w w , 0 6g 9h 0 6g 4h 0 h 0 h g 0 g 6 g, 0. p q Multipl b p q. a 6z 4 Multipl b a 7z 6 Multipl b. e 4f 9 Multipl b 4 4e f 9 Multipl b. 0m 6n 40 m 8n 60 Multipl b 4. 9 z 0 Multipl b 6z. 0 Rearrange p q p q p p 7 6a 8z 6a 4z z 0 z 0 a a 4 a, 0 0e 6f 6 0e f 4 9f 9 f e 4 9 e e, 0m 6n 40 0m 6n 0 0m 60 m 0 6n 40 6n 0 4q 0 q p 7 7, n 8, 8 8 6z 40 6z 4 9 z 0 z z, 0 4 9, Copright McDougal Littell Inc. Algebra Chapter 7 Worked-out Solution Ke

11 6. b c 46. g 4 4h Rearrange g 4h 4 c b Rearrange h g Rearrange g h b c Multipl b b c g 4h 4 b c 46 Multipl b g 6h 6 c 0h 0 c h 7. 9 Subtract Multipl b 9. v 0 u u 0 v Add u Add v v u 0 Multipl b v u 0 v u u 00 0 u 0 u 0, g h 4. 0 Subtract 4. 0.g h g h Rearrange 0.g h.6 0.g 0.7 g 7. q 7 p 4p 6 q Multipl b 4 Solution;,. p q Rearrange q p 0. 7 h 4. h h q q q, 6, , b b 6 8, q 7 p q 8p 0 9 p p 9 p q 7 q 4 v u 0 v u 0 4v u 00 v 0 v q p q p p p, 4 4. Rearrange. 0 Subtract 7 Add 6. a 9b 8b a a 0b 4a 9b Combine like terms Combine like terms t r r t m 4 4n m n g 4 g t t 0 Multipl b m 0 m 9 Multipl b 0, j 9 j 9 j t r t r r r 4 b 0 b 4 7 6, 4 m 4 4n m 4 n 0 n 0 n 4,, 0 4a b 0 a b a a, , 0 9. j k 9 4j 8k 4 Multipl b 4 Multipl b j 0k 76 j 4k 44k 88 k, 6 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

12 40., Rearrange Rearrange Multipl b Multipl b 7 4. Multipl b grams of copper w wind speed s speed in still air 9 s w 00 7 s w w 6.v..w 6.v. 48. c current speed 0.w v Multipl b boat speed in still water b.w 6v 9.v. b c 8 v b c b 0.c 8 9g 7h g h coordinates of the hive: s w 00 s w 40 s 70 s 7 7 w 00 w 7 4 7, 7.w 6...w w h h 0 4, , 4 9g 7h g 7h 7 0g g 0 0, mi h; 7 mi h Multipl b 0. c 8 c 4 c 4 boat speed: mi h current speed: 4 mi h 49. ; onl one equation must be multiplied 0. ; onl one equation must be multiplied. ; onl one equation must be multiplied. First determine whether one variable ma be eliminated without multiplication. If not, determine whether either variable ma be eliminated b multipling onl one equation. If not, ou ma eliminate either variable.. 4 Multipl b b c , A z 4 z Multipl b 9 z z 4 z 9, A. 0.b 0.c 4 0.b 0.c 8 b , C z 4 z z 4 z Copright McDougal Littell Inc. Algebra 7 Chapter 7 Worked-out Solution Ke

13 6. 9,, 9 ; rearrange the second equation so like terms in the first and second equations are aligned in columns. Multipl either the first or second equation b to eliminate the and z terms. Solve for, then substitute that value into the third equation to solve for. Substitute the and values into either the first or second equation to solve for z. Check that 9,, 9 is a solution to all three equations. 7. Mied Review (p. 46) 7. m b 4 b b 0 b 4 b Equation: 0 0 b Equation: 9. m b b b 4 b b b Equation: 4 Equation: b 9 b 6 b Equation: 6 6. < <? <, is a solution ? 6 6 6, 4 is a solution. 6. > >? 0 >, is a solution. 6. m 4 b b b 7 b Equation: 7 0 <? 4 <, 0 is not a solution. 4? 6 4 6, is a solution. >? 0 >, is not a solution. 66.? 4? 4, is a solution., 4 is not a solution m n m 4n m n 6 8 n 4n 6 8 0n 4n 7 4 4n 8 n m m,, 69. g h p 4q 9 4g h 4 p q 4 g h 0 p 4q 9 4 h 0 h 4 4q 9 q 4 0h 80 h 4 8q 8 q 4 h 46 q h q g 0 p 4 9 g 0 p 7. 0,, b a 0 7. d e 8 b a d e 4 b a d e 0 a a 0 e 0 e 8 6 a a 0 4e a e d 8 a d b b,, Quiz 7. (p. 47). 4 (, 4) 7 7 4? 7 4? 7 7 7, 4 8 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

14 Multipl b (0, 0) 4, , 6 6 Copright McDougal Littell Inc. (6, 8) 7. 7 Multipl b 0 7, ? ? ? ? , 8 0, , , 9. 6 Multipl b 6 Rearrange 0. Let number of compact discs at $0.0 Let number of compact discs at $ compact discs at $0.0 6 compact discs at $8.0 Math and Histor (p. 47). es; linear combinations , 40, , , ,000 0,000,,0 0,000 rolls of cotton will be used and there are 0,000 men Algebra 9 Chapter 7 Worked-out Solution Ke

15 Lesson Guided Practice (p. 4). 0, , , , ,000 0, ,000 6, ,000, 6,000. Personal preferences ma var.. Substitution or linear combinations; it would be simple to write either variable in terms of the other or to eliminate b multipling either equation b. 4. Linear combinations; neither variable has a coefficient of or in either equation.. An of the three methods would be reasonable; it would be simple to write either variable in terms of the other, both would be simple to graph, and could be eliminated b multipling either equation b Let price per gallon of regular. Let price per gallon of premium Verbal Model regular: $.9 premium: $.9 Cost of 0 gal. reg. gas Cost of gal. of premium Cost of gal. prem. gas Cost of gal. of regular 0.0 Total cost 7.4 Practice and Applications (pp. 4 44) 0. 6 Substitution:. 0, Linear Combinations: Multipl b 6 0, Graphing Method: 6 6 Substitution: 4, Graphing Method: 0 (0, ) (, ) ? 6 6 0? Linear Combinations: 6,?? 60 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

16 . Substitution: 6 6, 6 Graphing Method: 4 (, 6) 8 Sample answers are given.. Linear combinations; the terms in both equations have coefficients of and which will eliminate. 4. Linear combinations; neither variable has a coefficient of or in either equation.. Substitution; the first equation can be easil solved for. 6. Substitution; the variables in the second equation have coefficients of and. 7. Linear combinations; neither variable has a coefficient of or in either equation. 8. Linear combinations; neither variable has a coefficient of or in either equation. 9. Linear combinations; the -terms have coefficients that will add to zero. 6, 0. Linear combinations; the -terms can be eliminated b multipling the first equation b. Multipl b , Linear Combinations: 6 6, 6 6? 6?. Linear combinations; the -terms have coefficients that will add to zero ,. Linear combinations; the -terms can be eliminated b multipling the first equation b. 6 8 Multipl b Substitution; and have coefficients of in the first equation. 0 0, 4. Linear combinations; the -terms can be eliminated b multipling the second equation b. 7 Multipl b. Substitution; and both have coefficients of in the second equation ,, 6. Substitution; in the first equation, has a coefficient of , , Copright McDougal Littell Inc. Algebra 6 Chapter 7 Worked-out Solution Ke

17 7. Linear combinations; after both equations are rearranged, the -terms will add to zero Rearrange Linear combinations; the -terms can be eliminated b multipling either equation b. Multipl b Substitution; the first equation is alread solved for , 4 0. Linear combinations; neither variable has a coefficient of or in either equation Multipl b Multipl b , , 0 6, 6, ,. 4. Multipl b 4. Multipl b Multipl b Multipl b Rearrange 6, 6 Multipl b Multipl b 9 Multipl b ,, 4, 7 9, 6 0 6, 6, Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

18 8, Multipl b , 0 ml of the % solution Multipl 40 ml of the % solution b , children Multipl 6 b ears; 6 in < < < more than 4 children 6 6 0, m 7 m 6 4 4, Multipl b 6 9 Sstem: , Multipl b the point of intersection represents the number of ears after 970 (about.6) when the 47, ; 8 demand for low-income housing and the availabilit were equal (about 6,474,00) Multipl b sketches , in. pots; 0-in. pots h at 4 mi h ; h at 6 mi h Total distance 6. Total time 4 Let total time Let total distance You traveled h at mi h. Copright McDougal Littell Inc. Algebra 6 Chapter 7 Worked-out Solution Ke

19 7. substitution, graphing, linear combinations 8. about 7 C 9. No; solving a sstem involving an two of the equations will give the solution to the sstem of three equations. 60. T 0V 46.4 T 0V 46.4 T 8V 7. Mult. b T 46V V 0 V B 66. T T 7. C r b b r min 7.4 Mied Review (p. 44) 6. b b 4b b 64. D r 9 r 9 red marbles parallel not parallel not parallel parallel 7. f 7. h out of 00 households Developing Concepts Activit 7. (p. 4) Eploring the Concept (p.4). a b. c. 7. g 74., 0 4, 0 m 0 b 0 0 b 0 b Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

20 . The graph for the first sstem has two lines that intersect in one point; for the second, there is onl one line; for the third, there are two parallel lines.. a. ; b. ; c. ; 4. In the first pair of equations, both the slopes and the -intercepts are different; in the second, both the slopes and the -intercepts are the same; in the third, the slopes are the same and the -intercepts are different Man solutions; the graphs are the same line, so ever point on the line is a solution of both equations. 6. Eactl one solution; the graphs intersect in one point. 7. No solution; the graphs are parallel and do not intersect. 8. Sample answer: and 9. Sample answer: 4 and 0. Sample answer: and 4 Drawing Conclusions 7.. a Lesson Guided Practice (p. 49). The graphs of the equations are parallel lines.. The graphs of the equations are the same line. b The graphs intersect in eactl one point. 4. If the graphs were etended, the lines would intersect. c. 6 6 The graph of the first sstem has onl one line; for the second, there are two lines that intersect in one point; for the third, there are two parallel lines. Slope-intercept form of all sstems.: a. b. 4 0 c. 0 8 In the first pair of equations, the slopes and the -inter- cepts are the same; in the second pair, the slopes and the -intercepts are different; in the third pair, the slopes are the same but the -intercepts are different.. Write both equations in slope-intercept form. If the slopes and -intercepts are both different, the sstem has eactl one solution. If the slopes and the -intercepts are both the same, the sstem has man solutions. If the slopes are the same but the -intercepts are different, there is no solution. 6. The graphs are the same line. There are man solutions. 6 6 infinitel man solutions Copright McDougal Littell Inc. Algebra 6 Chapter 7 Worked-out Solution Ke

21 Multipl b 9 infinitel man solutions Multipl b 8. no solution eactl one solution 9. 7 Multipl b 8 no solution Multipl b infinitel man solutions Multipl b eactl one solution,, 7. Practice and Applications (pp. 49 4). E; eactl one solution. D; no solution 4. F; eactl one solution. B; infinitel man solutions 6. A; no solution 7. C; infinitel man solutions Multipl b Multipl b no solution Multipl b infinitel man solutions 0. 4 Multipl b eactl one solution, 0, eactl one solution,, 4. Multipl b no solution 8 8 no solution infinitel man solutions no solution no solution Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

22 E A B C D Col. B Col C eactl one solution, , no solution Multipl b No; the sstem of equations that describes the situation has infinitel man solutions Multipl b No; the sstem of equations that describes the situation has infinitel man solutions Yes; ou can combine the new equation with either of the original equations to produce a sstem that has a solution 4.98, 9.8. A sheet of oak paneling costs $4.98.., 4. The sstem has no solution; the graphs of the equations are parallel; at ever -value, the difference between the -values is the same E. 7 E. 8 infinitel man solutions A B C D 4 Col. B Col C no solution A B C D 7 Col. B Col C eactl one solution The sstem has infinitel man solutions, all ordered pairs whose graphs are on the line. This means that ever real number is a solution. 8. Answers ma var. 9. a. Multipl b n 4 4 n 0 n n b. an real number n, n CONTINUED Copright McDougal Littell Inc. Algebra 67 Chapter 7 Worked-out Solution Ke

23 9. CONTINUED c CONTINUED a. 4 Multipl b n b. an real number n, n 8 c. 4. a. 6 9 n 6 9 n Multipl b n 9 9 n b. an real number n, n 9 c. CONTINUED n 0 8 n 8 n a. 9 6 n.8. Multipl b b. an real number n, n c. 7. Mied Review (p. 4) A 44. C 4. D 46. B 47. ft hr t 0 t.8 hrs You will reach the top at approimatel 7:49 P.M. Lesson 7.6 Guided Practice (p.4) 9 6 n n n False; a solution of a sstem of linear inequalities is an ordered pair that is a solution of each of the inequalities in the sstem.. You must graph the boundar lines, which are graphs of linear equations; ou must determine whether the boundar lines are dashed or solid and which half-plane determined b the boundar line must be shaded.. Select a point in the shaded region and substitute it into each inequalit. A solution will ield a true statement in each of the inequalities. 68 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

24 4. The graphs of > and > 4 should have dotted 8. lines, not solid; > is graphed instead of > ; the right side of should be shaded; the left side of 4 should be shaded < 4 < 4 > > < < 7.6 Practice and Applications (pp. 4 47) 9. C 0. A. B > < 4 8 > > 6 < < 6 < 4 < 6 < 6 > < 9 < 9 > > > 4 4 < < Copright McDougal Littell Inc. Algebra 69 Chapter 7 Worked-out Solution Ke

25 A bh A 4 4 A 8 square units 7. 0,, 0,, 6, 8., 4,,,, 9. 0, 0,,,, 0. 0 (0, ). (, 0) 0 6 (, 6) (, 0) (7, 6) (, ) (7, ) Sample answers: hours babsitting, hours at cashier job 0 hours babsitting, 0 hours at cashier job b a.. 4. ( 7, 0) (0, 0) 4 (, ) (4, ) (, ) (6, ) 40 > (, ) a. 4. a. b. P 0a 0b P P 7,000 c. maimum profit $7,000 at the point 0, 400 ; The verte that is farthest awa from both aes ields the highest maimum profit. b. 0 0 c. 0, 400, 0, 0, 00, 0 900, 600 a 400 4a 400 a 800 a 900 b b 600 P P 7, P P 0,00 d. square units; the area of the large square is 64 square units and the area of each triangular region is 8 square units; Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

26 4. The half-planes determined b the inequalities do not intersect. 44. the line with equation 6 and the half-plane above it 7.6 Mied Review (p. 48) > 4 > 4 < 4 > , 0, 40, 40, 6, 6, 7, 7, 7 mean 47 median 6 mode point questions 0 -point questions no solution infinitel man solutions eactl one solution, 6 eactl one solution 0, (0, ) (, -6) Quiz (p. 48). l w l w l w 7 l l 7 l l 4 8 w w 6 w l 7 l < 6 < 6 > < 9 < 9 > infinitel man solutions 4 6 w length 8 ft width ft no solution Copright McDougal Littell Inc. Algebra 7 Chapter 7 Worked-out Solution Ke

27 < 6 Chapter 7 Review (pp ) < > 4 > < < < > 4 > < 4 < < 6, , , , 000 6, 000 $0,000 at % $6,000 at 6% < < 6 6, , (, 0) , 4?, 4 (0, ) (, ) ? 9 0, 9 9 0?, 0 9 (9, ) ? ? ? 7 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

28 ( 4, ) ,, (, ) 0, ? 4? , ? ? , , , ,, 4. 0 Multipl b , Copright McDougal Littell Inc. Algebra 7 Chapter 7 Worked-out Solution Ke

29 . 6 Multipl b Multipl b , 6 8 Multipl b, Rearrange Rearrange Multipl b Multipl b , Multipl b 6 4 Multipl b Ferris wheel: times roller coaster: 7 times, regular movies: new releases:. infinitel man solutions no solution. 6 8 Multipl b Multipl b Eactl one solution:, Multipl b Multipl b 7 Eactl one solution: Multipl b infinitel man solutions, 4 6 4, Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

30 8. 0 > 8 0 > 8 < 4 < Chapter 7 Test (p. 44) < > 4 (, ) > 4 > 4 >., 6 6? 6 6 8?. < 8 (, ) 6 < 8 6 < 0 < > 6 6 6? 6? > 49 > , (4, 6) ? , Copright McDougal Littell Inc. Algebra 7 Chapter 7 Worked-out Solution Ke

31 (, ) , ? 4? , , ( 0, 4) ? , 4, (6, 0) 44 44, ? 6 0? , 0 6 a 4 0 0, 76 Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

32 Multipl b Multipl b Multipl b Multipl b , , , 0 8 4, 4, Rearrange Rearrange 8, 0 8. Multipl b Multipl b , Multipl b Eactl one solution:, Multipl b Eactl one solution:, Multipl b Eactl one solution:, no solution Copright McDougal Littell Inc. Algebra 77 Chapter 7 Worked-out Solution Ke

33 . 4 8 Multipl b Multipl b infinitel man solutions Multipl b 4 0 Eactl one solution:, > bags of oster shell grit 4 bags of sunflower seeds Chapter 7 Standardized Test (pp ). D 4. C 6. C A E Multipl b E 7. B B Multipl b B 0. A. D. C Algebra Chapter 7 Worked-out Solution Ke Copright McDougal Littell Inc.

34 . E B. A a. b. c adult tickets 00 student tickets d total raised $40 below e At least 40 tickets; possible numbers are solutions of the inequalit 7. 0 Copright McDougal Littell Inc. Algebra 79 Chapter 7 Worked-out Solution Ke