Chapter 3 Answers. Practice 3-2. Practice 3-3

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1 Chapter Answers Practice -. Independent. Inconsistent. Dependent. Independent. Dependent. Independent 7. Independent 8. Inconsistent 9. Independent. Inconsistent. Independent. Dependent a. Income: = , where = represents Ma; Epenses: = , where = represents Ma b. ctober (the sith month). (, ). (, ). (, ) 7. (, ) 8. (, -) 9. (, ) 0. (-, 0). (-, ). a. (-8, -). (, ), b. (, ) Practice -. (, ). (, ). (, ). (, ). (, ). a, b 7. (, ) 8. (, -) 9. (, -). C = + p; I = p; three performances. (, ). (, ). (0, ). (-, ). (, ). (, ) 7. (, -) 8. (, 0) 9. (-, -) 0. 8r + g =.0, r + g =.80, where r represents number of oranges and g represents number of grapefruits; oranges = $.0, grapefruits = $.0. (, ). (-, ). (0, ). (, -). e (, ):. (-, ) f 7. (-, ) 8. No solution 9. (., 0) Practice $ # 0 a. µ, $ 0 $ 0 where represents number of spiral notebooks and represents number of three-ring notebooks b. Solutions correspond to points in shaded region with integer coordinates. # 0 a. $, $ where represents number of campers on the low trail and represents number of campers on the high trail 8 Algebra Chapter Answers

2 b. Solutions correspond to points in shaded region with integer coordinates Practice -. ; (, ) 7 (, ) (, ) (, ). ; (0, ) 7. ; (, 0) 7 (0, ) (, ) (, 0) 7. ; (, 0) 7 (0, ) (, ) (, 0) 7. ; (, 0) (0, ) (, ) (, 0) (0, ) (, ) (, 0) Answers Algebra Chapter

3 . ; (0, 0) 7 (0, ) (, ) (, 0) 7 7. (0, ); 0 8. (, 0); 9. (8, 8); a. Four loaves of Irish soda bread and two Kugelhopf cakes b. $ a. qt regular, qt etra-rich b. $. Practice -. From the origin, move forward three units.. From the origin, move right two units.. From the origin, move forward three units, left two units, and down units.. From the origin, move back si units, left four units, and down one unit.. From the origin, move up four units.. From the origin, move forward one unit, right two units, and up three units. 7. From the origin, move forward three units, left one unit, and up si units. 8. From the origin, move right four units, and down one unit Algebra Chapter Answers

4 (0, 0, 0) 8. (0, 0, ) 9. (0,, 0) 0. (, 0, 0). (0,, -). (0, -, ). (-, 0, ). (, -, -) Answers Algebra Chapter

5 =, + =, + = ;. + =, + =, + = ; Algebra Chapter Answers 7

6 7. + =, + =, + = ; 0. - =, + =, - + = ; 8. + =, + =, + = ; = 8, - - = 8, - = 8;. - =, + =, - + = ;. 7 - =, =, = ; 8 Answers Algebra Chapter

7 . - =-, + =-, - + =-; Practice -. No unique solution. (, 0, -). (,, ). No solution. (-,, -). (,, ) 7. (, -, -) 8. (-, -, -) 9. (, -, ). (, -, -). (-, 0, ). (, -, -). (,, ). (,, -). a,,. a 7. (-, -, -) b,, b 8. (-, -, -) 9. (0,, 0) 0. (8, -, -). (,, ). (, -, -). No unique solution. (,, ) 9. µ, where represents the first number, represents the second number, and represents the third number;,, - 9., where represents the number of $ bills, represents the number of $ bills, and represents the number of $ bills; Eleven $ bills, seven $ bills, five $ bills Reteaching -. (, ); 8. (, );. (, );. (, -);. (-, 0);. (, ); Reteaching -. (-, -). (, -). No solution. e (, ) u f Algebra Chapter Answers 9

8 Reteaching -.. Reteaching Reteaching ma: at (, ); min: at a, 9 b. ma: at (, ); min: at (, 0). ma: at a, ; min. at b a, b... 0 Answers Algebra Chapter

9 Algebra Chapter Answers

10 Answers Algebra Chapter

11 Reteaching -. (,, ). (, -, ). (, -, ). (-,, ). (, -, ). (-, -, ) Enrichment - a. 0 mi south and 0 mi east of Plane B s current location. " b. Plane B c. " : or a. 0 mi/h b. in hour a. cruise ship: about 9. mi, oil tanker: about. mi b. about mi/h Enrichment - a. lb b. lb a.. ft b.. ft a. $.8 b. $.0. lb granola and lb dried fruit makes lb trail mi. a. $.0 b. lb granola and lb dried fruit makes lb Miture A. c. $.00 d. lb granola and lb dried fruit makes lb Miture B. Enrichment -. vertices: (-, -), (-, ), (, ), (, -); inequalities: $ -, #, 7 - $ -, 7 + # a. Answers ma var. Sample: (0, 0); Substituting the values = 0 and = 0 in each inequalit gives a true statement. b. Answers ma var. Sample: (, ); 7() + () = 8.. However, substituting = and = in each of the three remaining inequalities gives a true statement.. vertices: (-8, ), (-8, ), (0, -), (0, 7), (8, ), (8, ); inequalities: $ -8, # 8, $ -8, 7-8 # 8, - 8 $ -, + 8 # a. Answers ma var. Sample: (0, 0); Substituting the values = 0 and = 0 in each inequalit gives a true statement. b. Answers ma var. Sample: (8, 0); 7(8) - 8(0) =. 8. However, substituting = 8 and = 0 in each of the three remaining inequalities gives a true statement. Enrichment # # 800. $ 0, $ 0. 8 B a. I = b. $ c. $ d. $800 e. 8 rectangular containers, clindrical containers C A 8 Enrichment - (,, ) (,, ) Enrichment - A =, C =, E = 9; L =-, M =, N = ; A =-, B =-, = ; A = 0, I =, F = 8; No unique solution; D =-, E =, R = ; A =-, U =-, I = ; L = 0, R =, T =-; ENRIC FERMI Chapter Project Activit : Graphing = the number of pints of Red Hot Sauce, = the number of pints of Scorchin Hot Sauce; + # 0, + 8 # 0, $ 0, $ 0; Answers ma var. Sample: If 0 pt of each sauce are produced, there will be green peppers left over. Number of Pints of Scorchin' Hot Sauce (,, ) Number of Pints of Red Hot Sauce Activit : Analing Red Hot Sauce: pt, Scorchin Hot Sauce: 7 pt; $ Activit : Researching Check students work. Number of Pints of Sauce Activit : rganiing A: Week No.; B: Sauce Made (pt); C: Supermarket rders (pt); D: Local Grocer orders (pt); E: Specialit Store rders (pt); F: Sauce Available After rders (pt) (,, ) (,, ) (,, ) Algebra Chapter Answers

12 Checkpoint Qui. No solution. (0, 0). a,. (-, ) b 8. A B C D E F Four stamps; five stamps a. At 0 mo b. Answers ma var. Pump Up Gm costs less over ears, but it has a much higher initial fee. 7. Answers ma var. Sample: + 0; 0; 9.. Checkpoint Qui. (, 0); maimum value is 00. (-, -7); minimum value is -7. (, ); maimum value is 9.. Lies in the -plane and is located forward and to the left of the origin.. Lies in the -plane and is located to the left of and down from the origin. Lies in the -plane and is located back and up from the origin Answers Algebra Chapter

13 9.. Chapter Test, Form A. Dependent. (9, ). (0, -). (-, ). Graphing, substitution, elimination; Answers ma var. Sample: Substitution enables ou to reduce the number of variables quickl. Elimination is applicable to an sstem and efficient with two variables ; (0, 0), (, 0), (, 7), (0, 7); ; (0, 0), (0, 0), (, ), (, 0); 0. min running; min walking. Answers ma var. Sample:, - + 0, 0, (, 0, ) (, 0, 0) (0,, 0) Algebra Chapter Answers

14 . 9. (, 0, ) (,, ) (,, ) 0.. m + f + s = 0, where m represents the number of multiple choice questions, f represents the number of fill-in-the-blank questions, and s represents the number of short-answer questions. s m f Solutions correspond to points in the shaded plane with integer coordinates.. (0,, ). No unique solution. (, -, ). No solution: There is no point that lies in all three planes. ne solution: The planes intersect at one common point. No unique solution. The planes intersect at all the points along a common line, or the planes are identical and intersect at ever point.. 0 dimes, quarters, nickels 7. hours 8. A Answers Algebra Chapter

15 Chapter Test, Form B. Inconsistent. D. C... (, 0, ). 8 ; (0, 0), (0, ), (8, 0), (8, ); ; (0, 0), (0, ), (, ), (, 0); 0 8. h babsitting for neighbor; h babsitting her brother (, 0, 0).. (,, ) (,, ) Algebra Chapter Answers 7

16 ... A. B 7. -point shots, 8 -point shots, free throw 8. C Alternative Assessment, Form C TASK Scoring Guide: Student writes, solves, and graphs sstems and clearl demonstrates an in-depth understanding of the mathematical principles involved. A comparison is made, and the answer full supports the conclusion. Student shows a solid understanding of the mathematical principles. A comparison is made, but further detail or more clarit is needed. Student shows a limited understanding of the mathematical principles involved. Situation does not present a comparison or draw a conclusion. 0 Student makes no attempt, or no response is given. TASK Scoring Guide: a. Verte (8, ) b. c. Answers ma var but should relate to maimum value and verte (8, ). Student selects appropriate values for the variables and solves all parts of the problem with no mistakes. Student selects appropriate values for the variables and solves all parts of the problem with onl minor mistakes. Student either selects inappropriate values for the variable or has significant computation errors. 0 Student makes no attempt, or no response is given. TASK Scoring Guide: a. Answers ma var. Sample: a,,, a,, 7, b b (,, -); Answers ma var. Sample: Choose values for and, not both ero, and solve for. b. (, 0, 0), (0, -, 0), a0, 0,, -intercept: substitute 0 b for and and solve for, -intercept: substitute 0 for and and solve for, -intercept: substitute 0 for and and solve for c. ; ; ;-trace: substitute 0 for t, -trace: substitute 0 for, -trace: substitute 0 for ; Graph the intercepts. Draw the traces. Shade the plane. Student s eplanation is clear and detailed. Student answers all parts correctl. Student s eplanation is clear but could contain more detail. Student answers all parts correctl or has onl minor errors. Student s eplanation is unclear or lacking detail, and not all parts are answered correctl. 0 Student makes no attempt, or no response is given. 8 Answers Algebra Chapter

17 TASK Scoring Guide: Check students work; (7,, -) Student s eplanation of each method is accurate and contains sufficient detail to indicate a clear understanding of the method. Student solves sstem correctl using each method. Student shows steps with enough detail to indicate understanding. Student s eplanation of each method is accurate and contains sufficient detail to indicate a clear understanding of the method. Student solves sstem correctl using all three methods. Steps could be eplained more clearl or have more detail. Student s eplanation does not eplain in detail each method. Student solves the sstem correctl using onl two methods. Eplanation of the steps is not clear or missing important details. 0 Student makes no attempt, or no response is given. Cumulative Review. A. H. C. F. B. J 7. B 8. H 9. B. H. B. G a. b. a. - b.. 9,,. 7. (, ) 8a. Answers ma var. Sample: = - 8b. Answers ma var. Sample: 9. Check students work. Algebra Chapter Answers 9