Semester Fial Eam Review Packet Name Algebra 1 Hour Fial Eam Review Days Assiged o Assigmet 6/6 Fial Eam Review Chapters 11 ad 1 Problems 54 7 6/7 Fial Eam Review Chapters 10 Problems 44 5 6/8 Fial Eam Review Chapters 8 ad 9 Problems 1 4 6/9 Fial Eam Review Practice Eam Problems 74 98 Category Totals Complete ad O Time 5 poits Complete ad Late 4 poits At Least 50% Complete.5 poits Less Tha 50% Complete 1 poit Homework Grade / 0 Poits This sheet is due Moday, Jue 1 th Other Thigs You Need to Kow: There are 1 Multiple Choice ad 6 Free Respose questios o the eam. The Multiple Choice portio is a Illumiate bubble sheet You will be provided with a ote sheet ad you will use oe of my calculators. You may use a calculator o the etire eam. If you would like to estimate your semester grade, use the formula below. Semester Grade = 0.8(S percetage) + 0.(Eam percetage take a guess) Your eam is o
a m Algebra 1 Chapters 8-1 Eam Note Sheet Chapter 8 Epoets ad Epoetial Fuctios Epoet Properties a a m ( a m ) a m a 1 1 a m m m ( ab) a b a a m m m m a a a m b b a 1 a 1 a 0 1 Scietific Notatio Epoetial Growth ad Decay Product Property: a = Iitial Amout r = Rate t = Time Chapter 11: Square Root Fuctios Quotiet Property of Radicals: a a a b a b b b 4 9 16 4 5 5 6 6 49 7 64 8 81 9 100 10 11 11 144 1 169 1
Chapter 1: Ratioal Fuctios Iverse Variatio Stadard Form of a Quadratic a y Chapter 10 Quadratics y a b c Ais of Symmetry: b a Verte Form of a Quadratic y h k Verte: h, k Ais of Symmetry: h Quadratic Formula Discrimiat b b 4ac a b 4ac 0 Two Solutios b 4ac 0 Oe Solutio Fuctio Models b 4ac 0 No Solutio Ratioal 1 y Liear y m b Epoetial y a b Quadratic y a b c Square Root y
Chapter 8: Epoets ad Epoetial Fuctios I #1-4 simplify the epressio. Write your aswer usig epoets. 1) ( ) ( )( ) 5 ) ( 6 ) 5 4 ) 7 4 11 7 6 6 4) 8 6 1 I #5-7 simplify the epressio 1 5) 6) 8 5 ( 4 m ) 7) r I #8-11, Simplify the epressio. Write your aswer usig oly positive epoets. 8) yz 1 ab 9) a c 10) ( 6m) (m ) 4 (m) (m) 11) 4 4m 1) I the followig, use the fuctio y = a) Complete the table for the fuctio b) Graph the fuctio c) Idetify the domai ad rage. Domai: Rage:
1) Write 0.0084 i scietific otatio 14) Write 1,08,000 i scietific otatio 15) A compay is offerig its employees a retiremet beefit of $4,000 per year ad guaratees a aual cost of livig icrease of % of the beefit. a) Write a fuctio that models the retiremet beefit over time. Assume that the retiremet beefit oly icreases by the cost of livig icrease. y a 1 r t b) Use the fuctio to fid the amout of the retiremet beefit after 6 years. 16) You buy a ew car for $,000. It depreciates at the rate of 1% per year. a) Write a fuctio that models the value of your car over time. y a 1 r t b) Use the fuctio to fid the amout the car is wroth after 5 years. I 17 ad 18, Tell whether the graph represets epoetial growth or epoetial decay. The write a rule for the fuctio. 17) 18)
I 19 ad 0, simplify the epressio. 19) whe = 5 0) 1 whe = Chapter 9: Polyomials ad Factorig I 1 ad, fid the sum of the polyomials. 1) ( 7 5 ) ( ) ) (7a a 14) (9a 11a) I ad 4, fid the differece of the polyomials. ) (17y 6y 5) (11y y 8) 4) ( b b 6b 1) (b 11b ) I #5-8, fid the product of the polyomials. (double-distribute/foil) 5) ( 9r )(r 1) 6) (7t )( t 5t ) 7) ( 5b) a 8) ( 9z )(9z )
I #9-4, factor the polyomial. 9) 10 1 0) 4y y 6 1) 5 0 0 ) 11 ) 7 0 4) 9y 66y 11 I #5-6, what are the -itercepts? (Also called Zeros/Roots/Solutios) 5) ( 7)( ) y 6) (5 )( 11) y I #7-4, solve the equatio. 7) 56 0 8) z 169 6z 9) 1 15 0 40) 4 11 5 4 41) 5 5 4) m 6m m 1
4) A rectagle has the legth of (+) iches, a width of (+4) iches, ad a area of 15 square iches. Fid the value of. (hit: draw a picture!) Chapter 10: Quadratic Equatios ad Fuctios Fid the verte of the followig quadratics: 44) 4 1 45) 8 5 46) Give the followig iformatio about the parabola, aswer the questios. y 8 a) a = b = c = b) Does the parabola ope up or dow? c) Does the parabola have a maimum or miimum? d) Fid ad draw the ais of symmetry ( Also kow as the coordiate of the verte) e) Fid a plot the verte. Fid more poits o the graph ad graph the parabola y Verte
47) Give the followig iformatio about the parabola, aswer the questios. y 4 a) a = b = c = b) Does the parabola ope up or dow? c) Does the parabola have a maimum or miimum? d) Fid ad draw the ais of symmetry ( Also kow as the coordiate of the verte) e) Fid a plot the verte. Fid more poits o the graph ad graph the parabola y Verte I 48-49 solve the equatio. Roud to the earest hudredth, if ecessary 48) 5 0 49) 81 18 7 50) Use the Quadratic Formula to solve. 7 5
Use the discrimiat to tell whether the equatio has two, oe, or zero solutios. 51) 4 1 9 0 5) w 9w w 4 5) The discrimiat of 5 c is -7. What is the value of c? Chapter 11: Radicals ad Geometry Coectios I # 54-61, simplify the epressio 108 54) 4 55) 18 56) 5 57) 75 p 4 m 58) 108 5 5 81k 59) 6 49d 60) 15 5 7 61) 5 500
I #6-64, solve for. 6) 6 4 6) 4 1 64) 4 0 Chapter 1: Ratioal Equatios ad Fuctios 65) Give that y varies iversely with, use the specified values to write a iverse variatio equatio that relates ad y. The fid y whe = 6. = 4, y = 66) Give that y varies iversely with, use the specified values to write a iverse variatio equatio that relates ad y. The fid y whe = 18. = 6, y = 9 Graph the fuctio. 67) y y Ud.
Simplify the epressios. 68) 15 5 4 10 69) 6 6 7 1 70) 1 5 7 71) ( ) 5 14 7) 8 5 5 6 8 14 7) 1
Name: Date: Hour: Algebra Practice Eam Chapters 8-1 Multiple Choice Please select the choice that best aswers the questio ad mark your aswer o the provided Scatro sheet. 74. What is the equatio of the graph? a.) y = b.) y = c.) d.) y 1 y 1 75. Simplify 5a 5 b a b 6a b 5 15a 5 b. a.) b.) c.) d.) a 5 b 4 15a 5 6b a 5 b 15a 5 b 4 6 76. Rewrite 6.5 10 6 i stadard form. a.) 0.0000065 b.) 0.00000065 c.) 65,000,000 d.) 6,500,000
77. Which of the models below are epoetial decay models? I. y = 1.19 II. y = 0.1 III. y 5 IV. y a.) I ad II b.) II ad III c.) I ad III d.) II ad IV 78. You buy a used tractor for $55,10. It depreciates at the rate of 8.8% per year. What is the value of the tractor after 6 years? a.) $16,458.74 b.) $91,48.71 c.) $1,715.99 d.) $,4,69.8 y a 1- r t 79. You deposit $700 i a accout that pays 8% iterest compouded yearly. How much moey is i the accout after 10 years? a.) $1,000 b.) $589.10 c.) $117.84 d.) $964,06.15 y a 1 r t 4 80. Simplify a.) 4 8 b.) 4 16 c.) 4 10 d.) 4 1 4 4? 81. Which umber represets 65,006,000 i scietific otatio? a.) 6.5006 10-7 b.) 6.5006 10 7 c.) 65.006 10-6 d.) 65.006 10 6
8. Which of the followig is equal to 8 1 5 1 4 14 40? a.) 7 8 b.) 8 16 11 5 c.) 8 16 9 7 d.) 1 8 8. Which of the followig is equal to (6a 4b)? a.) 6a 48ab 16b b.) 6b 48ab 16a c.) 6a 16b d.) 16b 49a 6 84. Which of the followig is equal to the epressio 5 4 + 0 5 4? a.) ( 7)(6 + 5) b.) (5 + 6)( 7) c.) (6 + 7)( + 5) d.) (5 7)(5 + 6) 85. Which of the followig is a solutio of the equatio 7 11 = 4 +97? a.) 0 b.) -5 c.) -6 d.) - 86. What is the -coordiate of the verte of the graph of the equatio y = - + 1 7? a.) b.) - c.) d.) 1
87. What are the zeros of the fuctio y 4 6? a.) - ad b.) ad c.) - ad 6 d.) 6 ad 88. What is the discrimiat of the equatio y = 1? a.) 0 b.) 9 c.) -7 d.) -8 89. Name the type of model that the graph suggests. a.) Quadratic b.) Epoetial Decay c.) Epoetial Growth d.) Liear 90. What is the correct factorizatio of - +16 + 5? (Factor the epressio) a.) ( + 5)( 7) b.) -( + 5)( 7) c.) -( 5)( + 7) d.) ( 5)( 7)
91. What is the simplest form of (5 + )(5 )? a.) 5-4 b.) 10 c.) 5 + 10-4 d.) 5 + 0 4 9. What are the -itercepts for the graph of y = ( )( + ) a.) ad b.) - ad c.) - ad d.) - ad - 9. Which of the followig is 7 6 1 4, i simplified form? a.) 5 9 b.) 9 6 4 c.) 6 18 d.) 6 94. Solve 8-5 4 = 58. a.) 710 b.) 4 c.) 14 d.) 77 95. Which fuctio is graphed? a.) y = 0 b.) y 1 c.) d.) y =
96. Which epressio is equivalet to 7? a.) 70 b.) 6 c.) 6 d.) 97. Fid the area of the rectagle. (A = l * w) 4 a.) 4 b.) 16 c.) 1 d.) 1 4 4 98. Which of the followig equatios models iverse variatio?? a.) y = b.) y = c.) y = + d.) y =