Advanced Algebra 2 - Assignment Sheet Chapter 1

Transcription

1 Advanced Algebra - Assignment Sheet Chapter #: Real Numbers & Number Operations (.) p. 7 0: 5- odd, 9-55 odd, 69-8 odd. #: Algebraic Expressions & Models (.) p. 4 7: 5-6, 7-55 odd, 59, 6-67, 69-7 odd, 8-89 odd. p. 7: Quiz, - odd, skip #. #: Solving Linear Equations (.) p. 4: -4 odd, 45, 47, odd. #4: Rewriting Equations & Formulas (.4) p. 9 0: - odd. #5: Rewriting Equations & Formulas (.4) p. 9 : 4-0 even, odd. #6: Problem Solving Using Algebraic Models (.5) p. 7 9: 8-, 8,,, 8. P. 40: Quiz, -8 all. #7: Solving Linear Inequalities (.6) p : -5 odd, 65, 67 #8: Solving Absolute Value Equations (.7) Worksheet #9: Solving Absolute Value Inequalities (.7) Worksheet #0: Chapter Review p : Chapter Review, -9 odd

2 Adv. Algebra Additional Answers #: 5 6) x 7 8) x 0) 56 ) - 4) 4 6) 64 8) 40 0) 4 ) 0 4) 6) 5 6) C 64) D 66) B #5: 4) C r = 6) π b A h 9 5 = 8) C = ( F ) 0) A p =, πw about.75 cm π #6: 8) distance = 547 km, rate = km/h, time = t 547 0) or about 7. 8) 7 weeks ) in. & 9 in. 8) D Quiz : ) -8 4) 60 6) 4 4 y = x, - 8) 49 boxes

3 Advanced Algebra - Assignment Sheet Chapter #: Functions & Their Graphs (.) p. 7 74: 9-7 odd, -5 odd, 69-8 odd. #: Slope & Rate of Change (.) p. 79 8: 7-4 odd, 55, 57, 6, 65, 67. #: Quick Graphs of Linear Equations (.) p : 7-9 odd, 45, 49, 5, 6, 65, 69, 79, 8. #4: Writing Equations of Lines (.4) p : -9 odd. #5: Writing Equations of Lines (.4) p : 8-6 even, 4-57 odd, 7, 77, 9 #6: Correlation & Best-Fitting Lines (.5) p. 0 06: 8-0, 9, 4-7,,, 4, 4. #7: Linear Inequalities in Two Variables (.6) p. : 5-4 odd, 46, 47, 57-7 odd. #8: Absolute Value Functions (.8) p. 5 8: -7 all, 9-9 odd, 49, 50, odd. #9: Absolute Value Functions (.8) p. 5 8: 0,, 6, 0, 4, 6, 8 p. 8: Quiz, 4, 7. #0: Chapter Review p. 0 : -5 all. #: Chapter Test P. : -4 all.

4 Advanced Algebra Chapter Additional Answers #5: 8) 8) 7 4 y = x+ ; 0) y = x ; ) y = x+ 9 ; 4) y = x ; 6) y = x ; y = x+ 4 ; 0) y = x+ 6; ) y = 4x+ 0 ; 4) y = x; 6) y = x #6: #7: #8: #9: #0: 8) negative correlation; 0) relative no correlation; 4) y = 0t ; 6) y = 0.6x 57 46) 96m+ 8c 00 ) B; 4) A; 6) A; 50) D 0) (8, ), opens down, same width; ) (, 4), opens up, wider; 6) -6, 6; 0) -.5, 6.5 4) y = x ; 6) y = x+ ; 8) y = x + 6 Quiz : 0) y = x ) Yes; 4) 0; 6) undefined; ) y = x + ; 4) y = x + 0.8; #: ) No; 4) -0; 0) y = x 5 ; ) 4 7 y = x+ ; 4) 4 y = x+ ;

5 Advanced Algebra - Assignment Sheet Chapter #: Solving Linear System by Graphing (.) p. 4 44: - odd, 55. #: Solving Linear System by Graphing (.) p. 4 45: -5 odd, 57, odd. #4: Solving Linear Systems Algebraically (.) p.5: odd. #5: Solving Linear Systems Algebraically (.) p.5: 5 40, #6: Solving Linear Systems Algebraically (.) p.55: Mixed Review, odd & Quiz #, 9 odd. #7: Graphing & Solving Systems of Linear Inequalities (.) p.59 6: 49 every other odd, 6 & Mixed Review, 70-7, 75, 77, 78. #8: Linear Programming (.4) Pp.66-67: 7, 9,,, 9. #9: Linear Programming Worksheet # #0: Linear Programming Worksheet # #: Solving Systems of Linear Equations in Three Variables (.6) p.8-8: (Do as matrices on the calculator) 9 9, 44. #: Chapter Review p : Chapter Review, 4 & 5 odd (skip 9) #: Cumulative Practice p. 9-9: 9-7 odd, 7 odd, 57 odd (skip 47)

6 Advanced Algebra Chapter Additional Answers #5: #6: #: # : 6) infinitely many solutions; 8) (-6, -7); 40) 48) infinitely many solutions 7 5, 4 ; 44) (-5, -5); 46) (, -) 6) x, x 8, y 5, y ; 70) positive correlation; 7) negative correlation 78) infinitely many solutions 0) no solution; ) no solution; 4) (-5, -6, ); 6) (7, 9, ); 8) all points of the form ( z,, z); 44) w=, x= -, y = -4, z = ) infinitely many solutions; 4) no solution

7 Advanced Algebra - Assignment Sheet Chapter 5 #4: Graphing Quadratic Equations (5.) Worksheet #5: Graphing Quadratic Equations (5.) p. 5 54: 8, 0, 6, 9 45 odd. p. 55: Mixed Review, #6: Solving Quadratic Equations by Factoring (5.) p. 60 6: 6 odd. #7: p. 60 6: 4 64 even. #8: Worksheet: 5. Practice B, 45 odd. #9: p. 6: all. p. 6: Mixed Review, 9 &. #40: Solving Quadratic Equations by Finding Square Roots (5.) p. 67: 9 49 odd. p. 69: Mixed Review, 77 & 8. #4: p : 5 67 odd, 68. p. 70: Quiz, 0 (skip #). #4: p. 7: 8 (Use graphing calculator) #4A: Complex Numbers (5.4) p : 7 6 odd #4B: p. 77: 7 8 all, p. 80 Mixed Review 0 odd #4: The Quadratic Formula & The Discriminant (5.6) p.95: 7 5 odd, 9, 4, 47, 49, 5, 57, 59, 6, 64. #44: p. 4 5: all AND Study for Quiz! #45: Worksheet: 5.6 Practice B, -5 odd. #46: Graphing & Solving Quadratic Inequalities (5.7) p. 0 04: 7, 9,,, 9,. #47: p.04: 5 4 p. 05: Mixed Review, odd. #48: Modeling with Quadratics Functions (5.8) p. 09-: 7 all, 6. p. : 7 all (skip #5). #49: p. 7: - odd (skip #, 5, 7) #50: Review p. 8: 0 (optional) AND Study!!

8 Adv. Algebra Chapter 5 Additional Answers #5: #9: #4: #4: 8) A; 58) -7; 60) - ; 6) /8; 64) 0 66) -, -8; 68) -/, 5/4; 70) 5/; 7) -/0, 0; 74) -5, -4; 76) -7, 7; 78) /5, ; 80) y = (y )(x ); 8) y = (x + 7)(x 5) 84) y = (x + 0) ; 86) y = (x 5)(x + ); 88) y = (x )(x 4) 68), ; Quiz : 4) -, 9; 6) ½; 8) 4 5 ) -.7,.7; 4) -.87,.87; 6) -0.90, 8.90; 8) -0.85,.5 #4B: 8) ± i 0) ± 5i ) ± i 4) 8) 4 ± i ± i 6) 5± i 5 #4: #44: #46: #47: #49: 64) 0, real solution 4) -8, -; 6) -/, -; 80 /5; 0), ; ) 5,+ 5 6) x 5.5or x.5; 8) -.8 < x <.8; 40) no real solution; 4) x 5 = ( 4) + 5 ; 8) y = ( x+ ) + 4 ; 0) y = ( x ) ; ) y x 6) t = 0.09s 0.09s ) E; 4) C; 6) C; 8) B; 0) E

9 Advanced Algebra - Assignment Sheet Chapter 6 #5: Using Properties of Exponents (6.) p. 6: 7 47 odd. & p.8: 6, 67, 68. #5: p. 6-7: 4 46 even, 49, 5, 5 p. 8: 7, 75 #5: Evaluating and Graphing Polynomial Functions (6.) p. -4: 5 7 odd, #54: p. -4:, 4, 49 5, 5 59 odd #55: Adding, Subtracting, and Multiplying Polynomials (6.) p. 7:, 5 & p. 4-4: 6 (every other odd) #56: Factoring and Solving Polynomial Equations (6.4) p. 44: Mixed Review, 7, 8, 85, 87. p : 9 57 every other odd. #57: p : odd. & p. 5: Mixed Review, 99, 0. #58: The Remainder and Factor Theorems (6.5) P.56: 5 5 odd. & p.58: Mixed Review, 67, 75, 77, 79, 8 #59: p : 0 6 even, 7 7 odd. #60: Worksheet: Long Division & p. 57: 47 5 odd. #6: Finding Rational Zeros (6.6) p. 6:, 5, *, 5*, 45, 47**, 49** * Use the calculator to find all zeros. ** Use the calculator to find one zero and the rest algebraically. #6: Using the Fundamental Theorem of Algebra (6.7) p. 69: 5 odd & p. 86: Mixed Review, 5 59 odd, odd. #6: p : 6 4 even, 5 7. #64: Analyzing Graphs of Polynomial Functions (6.8) P. 76: 8 & P. 78: Mixed Review 55 & 56 P. 8: 4 6. #65: p : Chapter Review. #66: p. 9: Chapter Test 9 odd, 5, 9

10 Adv. Algebra Chapter 6 Additional Answers #5: 5 4) 4; 6) 56; 8) 5/6; 0) ; ) x ; 4) xy ; 6) 4 xy ; 8) 40) ; 4) ; 44) x y 6x y 4 xy ; 46) x y ; 5) about $.05 0 #54: ) Not a polynomial; 4) 9; 50) D; 5) A; x y ; #58: 8) x x ; #59: 9 8x ) x x ; ) x + 8 ; 4) 0x ; 6) x x x + 5 x + x x x #6: 6) No; 8) Yes; 0) -, -, -, ; ) -, -,, ; 4) -5, -, ; 6) f( x) = x x 9x+ 0 #64: 56) y x = ( + ) #65: ) : negative exponents, product of powers, power of a power, zero exponent 4) 5 y : negative exponent, quotient of powers, zero exponent 6) ; 0) x + x ; ) x x x 5; 4) -, ; 6) x + 6x + 5x+ + ; 8) -0, -; x ) x-int: (-, 0), (, 0), local max: (-0.67, 9.48), local min: (, 0)

11 Advanced Algebra - Assignment Sheet Chapter 7 #67: n th Roots and Rational Exponents (7.) p : # 6 odd (use calculator for 9 9) #68: Properties of Rational Exponents (7.) p. 4 4: # 9 odd, 57 7 odd (except #67) p. 44: Mixed Review: #07, 09,. #69: p. 4 4: #4, even & p. 44: Mixed Review, 06, 0 #70: Power Functions and Function Operations (7.) p : # 7 odd,, 5, 4 47 odd p. 40: #69, 7, 7, 8 #7: p : #6, 4, 6, 7, 8, 49, 5 p. 44: Quiz : #5, 7, 5, 7 #7: p. 949: # 4 odd and Study for Quiz on (including Composition of Functions) #7: Inverse Functions (7.4) p : #4 8 all, 5 odd, 5 all p. 49: Mixed Review: #69 8 odd #74: p : #9, 0, 5 odd, 49 5 odd & p. 949: #45 5 odd. #75: p. 40: # & p. 949: even #76: Graphing Square Root and Cube Root Functions (7.5) Worksheet & p. 46: Mixed Review: #55, 58, 6, 67, 69. #77: Solving radical Equations (7.6) p. 44: 7 45 odd. #78: p. 44: 4 6 even, 47, 49, 5, 5. #79: Chapter Review p : 5,, 4, 7, 4, 6, 7, 0,. #80: p. 464: 0 all

12 Advanced Algebra Chapter 7 Additional Answers #69: #70: #7: 4) y / 8/5 / / / ; 56) x ; 58) x; 60) x ; 6) x y ; 64) 4 x ; 66) Mixed Review: 06) x x + 0x; 0) x 4x 8) ± 0. /6 6) -5x + ; 4) x ; 6) 0x + 40; 8) 00x; x ; #7: 6) y = x/5; 8) y = x+ 9 ; 4) C #75: #76: ) Yes; 4) No; 6) No; 8) Yes; 0) No; ) No x + x + 7 x ) f ( x) = ; 48) f ( x) = ; 50) f ( x) = ; 5) 54) f x 4 8 ( x) 58) ± 6 = ; 56) f ( x) = x f 9x 8 ( x) = #78: #79: #80: 4) 8 5 ; 6) ; 8) No solution; 0) 7; ) ; 4) 8; 6) / ) 6; 4) 6; 4) 8x ; 8) x ; 0) ; ) f ( x) x 4) f ) 9 ( x) x 7 5 = + ; = ; 6) Domain: All real # s; Range: All real # s; 0) ; ) 6 ; 4) -5; 6) f( x) as x ; f( x) + as x + ; 8) f( x) + as x ; f( x) + as x + ; 0) y =

13 Advanced Algebra - Assignment Sheet Chapter 8 #8: Exponential Growth (8.) p. 469: #4 9,, 6, 5, 6, 8, 9 p. 47: Mixed Review: #9 99 odd (no domain) #8: p. 469: #,,, 4, 56 59, 65 p. 47: Mixed Review: #9 98 even (no domain) #8: Exponential Decay (8.) p. 477: #4, 9 4, 4, 44, 47, 50, 5, 59, 60, 6, 67a #84: The Number e (8.) p : #5 odd, 7 5 odd, odd, 76, 89, 9, 9 p. 485: Quiz : #7 odd #85: Logarithmic Functions (8.4) p. 490: #6 5, all & p. 49: Mixed Review: 07, 08, 09 #86: Worksheet: 8.4 Practice #87: Properties of Logarithms (8.5) p : #5 odd, 5 55 odd #88: p : #4, 6,, 6, 44, 5, odd (except 75) p. 499: Mixed Review: 9 0 odd #89: p. 500: # #90: p : # 9 odd, 4 55 odd, 65 8 odd #9: Solving Exponential & Logarithmic Equations (8.6) p. 505: #5 4 odd & p. 508: Mixed Review: #77 87 odd #9: p : #5 odd, 4, 45, 47, 5 57 odd & p. 508: Quiz :,, 9-5 odd #9: Worksheet: Practice 8.6 #94: Chapter Review p : #5, 7, 7 0, 5 5 #95: p. 5: #,, 5 5

14 Advanced Algebra - Assignment Sheet Chapter 9 #96: Inverse and Joint Variation (9.) p.57:, 4, odd, 5 7 all & p.59, Mixed Review: 6 69 odd. #97: Variation Worksheet # #98: Variation Worksheet # #99: p.57 59: 8 even, 9 4 odd, all, 55, 56, 57 #00: Variation Worksheet # #0: Factoring Review and More #0: Multiplying & Dividing Rational Expressions (9.4) p :, 9,,,, 7 5 odd & p.560, Mixed Review: 67, 69, 7, 7 #0: Worksheet: Simplify, Multiply, Divide Rational Expressions #04: Worksheet: Addition & Subtraction with Like Denominators (9.5) #05: Addition, Subtraction, and Complex Fractions (9.5) p : odd, 7 5 odd & p.567, Mixed Review: 59, 6, 69, 7 #06: Worksheet: Addition/Subtraction #07: Worksheet: Review of All Fraction Operations #08: Solving Rational Equations (9.6) p.57:,, 5 odd, 7, 9,,, 7, #09: p.57: 49 odd & p.57, Mixed Review: 65 7 odd #0: Worksheet: Practice 9.6 #: Chapter Review p : 9 odd, 7, 9,, 7, 9, #: p. P.947: 97, every other odd, skip #5

15 Advanced Algebra Chapter 9 Additional Answers #96: #99: #0: #08: 4) inverse; 6) neither; 8) direct; 0) inverse; 6) direct ) inverse; 4) direct; 6) direct; 8) neither; 46) y = kz x ; 56) h = kad 7) V = 800(0.86) t, about $48 ) is extraneous, it makes both fractions undefined.

16 Assignment Sheet: Advanced Algebra Chapter # P. 655: 9 9 (odd), 7 6 (odd) P. 657: 7 85 (odd) [.] #4 P. 66: 5 7 (odd) [.] #5 P. 664: (odd) P. 665: 65 8 (odd) [.] #6 P. 670: 5 5 (odd), [.] #7 P. 67: 6 69 (odd) [.] #8 P. 67: (all) [Review] Even Answers: #8.) 4; n 4.) 54 6.) 0 8.) 4 9n; ) ) (-4) n ; -805,06,68 Assignment Sheet: Advanced Algebra Chapter # P. 655: 9 9 (odd), 7 6 (odd) P. 657: 7 85 (odd) [.] #4 P. 66: 5 7 (odd) [.] #5 P. 664: (odd) P. 665: 65 8 (odd) [.] #6 P. 670: 5 5 (odd), [.] #7 P. 67: 6 69 (odd) [.] #8 P. 67: (all) [Review] Even Answers: #8.) 4; n 4.) 54 6.) 0 8.) 4 9n; ) ) (-4) n ; -805,06,68

17 ADVANCED ALGEBRA FINAL EXAM REVIEW BOOK ASSIGNMENTS Chapter : Pages :, 5,,, 45 Chapter 5: Pages :,,, 6, 9,, 9, 44, 47, 5, 8, 85, 95, 0 Chapter 6: Pages 947: 79, every other odd; skip # 5; 9, 95, 97 Chapter 7: Pages :,, 9,, 5,, 9 4 odd, 45, 47, 5, 7, 75 Chapter 8: Pages :,, odd, 4 49 odd, odd, odd, Chapter 9: Pages 95 95:, 9, 5, 6, 5, 9, 4, 45, 47, 59, 6, 6 Chapter : Pages 955 :, 5, 9,, 7,, 9, 5, 7, 9 ADVANCED ALGEBRA FINAL EXAM REVIEW BOOK ASSIGNMENTS Chapter : Pages :, 5,,, 45 Chapter 5: Pages :,,, 6, 9,, 9, 44, 47, 5, 8, 85, 95, 0 Chapter 6: Pages 947: 79, every other odd; skip # 5; 9, 95, 97 Chapter 7: Pages :,, 9,, 5,, 9 4 odd, 45, 47, 5, 7, 75 Chapter 8: Pages :,, odd, 4 49 odd, odd, odd, Chapter 9: Pages 95 95:, 9, 5, 6, 5, 9, 4, 45, 47, 59, 6, 6 Chapter : Pages 955 :, 5, 9,, 7,, 9, 5, 7, 9