Algebra 1 Hour Final Exam Review Days

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1 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 /7 Fial Eam Review Chapters 10 Problems /8 Fial Eam Review Chapters 8 ad 9 Problems 1 4 6/9 Fial Eam Review Practice Eam Problems 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

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3 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 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

5 Chapter 8: Epoets ad Epoetial Fuctios I #1-4 simplify the epressio. Write your aswer usig epoets. 1) ( ) ( )( ) 5 ) ( 6 ) 5 4 ) ) 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:

6 1) Write 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)

7 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 )

8 I #9-4, factor the polyomial. 9) ) 4y y 6 1) ) 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) ) z 169 6z 9) ) ) 5 5 4) m 6m m 1

9 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) ) ) 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

10 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 solve the equatio. Roud to the earest hudredth, if ecessary 48) ) ) Use the Quadratic Formula to solve. 7 5

11 Use the discrimiat to tell whether the equatio has two, oe, or zero solutios. 51) ) 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 ) 4 55) 18 56) 5 57) 75 p 4 m 58) k 59) 6 49d 60) ) 5 500

12 I #6-64, solve for. 6) 6 4 6) ) 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.

13 Simplify the epressios. 68) ) ) ) ( ) ) ) 1

14 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 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 Rewrite i stadard form. a.) b.) c.) 65,000,000 d.) 6,500,000

15 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, b.) $91,48.71 c.) $1, 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.) $ c.) $ d.) $964,06.15 y a 1 r t Simplify a.) 4 8 b.) 4 16 c.) 4 10 d.) ? 81. Which umber represets 65,006,000 i scietific otatio? a.) b.) c.) d.)

16 8. Which of the followig is equal to ? a.) 7 8 b.) c.) d.) Which of the followig is equal to (6a 4b)? a.) 6a 48ab 16b b.) 6b 48ab 16a c.) 6a 16b d.) 16b 49a Which of the followig is equal to the epressio ? 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.) What is the -coordiate of the verte of the graph of the equatio y = ? a.) b.) - c.) d.) 1

17 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.) 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 ? (Factor the epressio) a.) ( + 5)( 7) b.) -( + 5)( 7) c.) -( 5)( + 7) d.) ( 5)( 7)

18 91. What is the simplest form of (5 + )(5 )? a.) 5-4 b.) 10 c.) d.) What are the -itercepts for the graph of y = ( )( + ) a.) ad b.) - ad c.) - ad d.) - ad - 9. Which of the followig is , i simplified form? a.) 5 9 b.) c.) 6 18 d.) Solve = 58. a.) 710 b.) 4 c.) 14 d.) Which fuctio is graphed? a.) y = 0 b.) y 1 c.) d.) y =

19 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.) Which of the followig equatios models iverse variatio?? a.) y = b.) y = c.) y = + d.) y =

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