Midterm Review. 9) (15x 3 + 7x 2-10x - 19) (5x - 6) 10) (3x 4 + 8x 3-3x 2-6x + 9) (x - 1)

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1 Honors Math 3 P gz0n1t7f PKIuFtzaN YSlolftCw[aIr^e^ gl[l^c.x O EAFlXlf wroingzhttsw YrteCs[eRrvsesd[. Midterm Review 1) Nicole invests $,7 in a retirement account with a fied annual interest rate of % compounded continuousl. What will the account balance be after 19 ears? ) Mike invests $,953 in a retirement account with a fied annual interest rate of % compounded monthl. What will the account balance be after 13 ears? 3) Stephanie invests $,375 in a retirement account with a fied annual interest rate of 9% compounded semiannuall. How long will it take for the account balance to reach $19,97.7? ) Carlos invests $1,55 in a savings account with a fied annual interest rate of 7% compounded continuousl. How long will it take for the account balance to reach $3,30.03? 5) Totsakan invests $5,30 in a retirement account with a fied annual interest rate compounded continuousl. After 19 ears, the balance reaches $7, What is the interest rate of the account? ) Ndiba invests a sum of mone in a savings account with a fied annual interest rate of 3% compounded quarterl. After ears, the balance reaches $5,1.19. What was the amount of the initial investment? Divide. Write our answer in fraction form. 7) ( ) ( - ) ) ( ) ( + 5) 9) ( ) (5 - ) 10) ( ) ( - 1) Solve each equation. 11) 3-3n = 1) 5 -n + 3 = 15 13) 5 = ) -n + 1 = ( ) 1 n 15) 1 = 1) 1 -a = 1 -a ) v = -3 1) + = 1 d tf0q1y7b \Kcuqt[av kscoyf^tewta\rpe_ rlelxcb.h ` fawlxl] DroijgohvtLso HrTessAeKrvqe[d[.\ _ dm\akd^eb `w_imtrh_ hiynjfainnrittueu YPCrSe]claplPcunlbubse. -1- Worksheet b Kuta Software LLC

2 19) 9e m - 5 = 7 0) -e n - 5. = -59 1) ln (b + 3) = ln (5b + ) ) ln (5n - ) = ln 1 3) log 1 ( - ) = log 1 ( + ) ) log 19 (v - 7v) = log 19 (1 - v) 5) log 3 ( + ) - 9 = -10 ) log (v + 5) - = - 7) ln - ln = ) ln 3 - ln ( + ) = 5 9) ln ( + 1) + ln = ln 0 30) ln - ln = ln 7 31) ln - ln = 3) log ( + ) - log 3 = log 3 33) log 5 - log 5 ( - 9) = 1 3) log 5 ( + 5) - log 5 = log 5 1 Use a graphing calculator to approimate all points of relative and absolute etrema of each function. 35) f () = ) f () = Use a graphing calculator to approimate the open intervals where each function is increasing and decreasing. 37) f () = ) f () = Find the inverse of each function. 39) f () = 5-5 0) f () = - + 1) f () = 3 + ) g() = q `^0Z1o7N pk]uitnag ssbovfpt`woakrpek tlilkc].j U jamlklh HrhibgGhbtNsI UrJejsPeKrLvAeadk.\ L jmsapdgep lwdiatphf TInTfBiAnBift_e] HPrrLeHctaRlBcYu`lJuEsB. -- Worksheet b Kuta Software LLC

3 Sketch the graph of each function. 3) f () = ( + ), < - -, - < ( - ), ³ ) h() =, < - + 1, ³ ) g() = -, < - -, > ) f () = +, < - - 3, - 3 -, > State the number of comple zeros, the possible number of real and imaginar zeros, and the possible rational zeros for each function. Then find all zeros. 7) f () = ) f () = ) f () = ) f () = s EN0B1R7b qknumtaav iskotfwtzwpadre [LQLqC`.u P \AdlGlO Fr\iogfhSt_sm r_egsnefr]vresdw.w X OMWaDdUeL qwxiztuhl dilnvf\i^neiatlev GPpreVcSaJlzcMuoluVsP. -3- Worksheet b Kuta Software LLC

4 Find the lateral area of each figure. Round our answers to the nearest hundredth, if necessar. Leave our answers in terms of p for answers that contain p. 51) A pramid with slant height 7 d whose triangular base measures d on each side. Each altitude of the base measures 1.7 d. 5) A square prism measuring 5 km along each edge of the base and 10 km tall. 53) A clinder with a diameter of 10 m and a height of 3 m. 5) A cone with radius in and a slant height of.3 in. 55) A prism 1 ft tall with a right triangle for a base with side lengths ft, ft, and 10 ft. 5) A heagonal prism in tall with a regular base measuring 1 in on each edge and an apothem of length 10. in. Find the surface area of each figure. Round our answers to the nearest hundredth, if necessar. Leave our answers in terms of p for answers that contain p. 57) A cone with radius 7 m and a slant height of 15.7 m. 5) A sphere with a diameter of 1 mi. 59) A square pramid measuring 7 d along the base with a slant height of.1 d. 0) A sphere with a diameter of 7. in. 1) A square prism measuring 10 mi along each edge of the base and mi tall. ) A heagonal prism 10 cm tall with a regular base measuring cm on each edge and an apothem of length.9 cm. Find the volume of each figure. Round our answers to the nearest hundredth, if necessar. Leave our answers in terms of p for answers that contain p. 3) A sphere with a diameter of mi. ) A clinder with a diameter of 1 cm and a height of 9 cm. 5) A cone with diameter 1 d and a height of 1 d. ) A heagonal prism in tall with a regular base measuring 1 in on each edge and an apothem of length 10. in. [ Ei0q17t vkquitaak tscorfptpwtajrfee XLtL\Cm.X P ZAPlHlQ UrwiIgwhctisk prbezsueerzvnejd^.t d IMDaLdken Fw]iGtfh_ pilntfnicnti[tnen ZPZrvefciavlRccul]uCsM. -- Worksheet b Kuta Software LLC

5 Honors Math 3 \ uk0_1w7\ jkpuotwaf YSoYfotBwcaDrbeq BLtLHCA.D d A`lSlO Pr]i[gjhUtPs` PrbeVsveHrqvneEdj. Midterm Review 1) Nicole invests $,7 in a retirement account with a fied annual interest rate of % compounded continuousl. What will the account balance be after 19 ears? $30,.3 ) Mike invests $,953 in a retirement account with a fied annual interest rate of % compounded monthl. What will the account balance be after 13 ears? $,9.3 3) Stephanie invests $,375 in a retirement account with a fied annual interest rate of 9% compounded semiannuall. How long will it take for the account balance to reach $19,97.7? 17 ears 5) Totsakan invests $5,30 in a retirement account with a fied annual interest rate compounded continuousl. After 19 ears, the balance reaches $7, What is the interest rate of the account? % Divide. Write our answer in fraction form. 7) ( ) ( - ) ) ( ) (5 - ) Solve each equation. ) Carlos invests $1,55 in a savings account with a fied annual interest rate of 7% compounded continuousl. How long will it take for the account balance to reach $3,30.03? 11 ears ) Ndiba invests a sum of mone in a savings account with a fied annual interest rate of 3% compounded quarterl. After ears, the balance reaches $5,1.19. What was the amount of the initial investment? $,9 ) ( ) ( + 5) ) ( ) ( - 1) ) 3-3n = -1} 13) 5 = } 15) = } 17) v = J `b01e7v KKAu`taa^ dscogfrtwoahryep ULfLmCO.d C laklmlb VrcipguhTtRsq Kr`eCsOewrBvieNdD.g u dmtaodwez hwdi\tshl nienkfninhiltwec eplrweocjarlcaudlauysn. -1-1) 5 -n + 3 = 15 0} 1) -n + 1 = ( ) 1 n - 1 } 1) 1 -a = 1 -a } 1) + = Worksheet b Kuta Software LLC

6 19) 9e m - 5 = ) ln (b + 3) = ln (5b + ) 1} 3) log 1 ( - ) = log 1 ( + ) } 5) log 3 ( + ) - 9 = } 7) ln - ln = e, -e } 9) ln ( + 1) + ln = ln 0 } 31) ln - ln = e, -e } 0) -e n - 5. = ) ln (5n - ) = ln 1 } ) log 19 (v - 7v) = log 19 (1 - v) -, } ) log (v + 5) - = } ) ln 3 - ln ( + ) = e 5 e } 5 30) ln - ln = ln 7 9, -9} 3) log ( + ) - log 3 = log 3 10, -10} 33) log 5 - log 5 ( - 9) = 1 3) log 5 ( + 5) - log 5 = log } 1 1 } Use a graphing calculator to approimate all points of relative and absolute etrema of each function. 35) f () = Absolute minima: (-1., 1.), (1., 1.) Relative maimum: (0, ) 3) f () = Relative minimum: (0, 3) Relative maimum: (, 7) Use a graphing calculator to approimate the open intervals where each function is increasing and decreasing. 37) f () = Increasing: (-, 0), (.7, ) Decreasing: (0,.7) Find the inverse of each function. 3) f () = Increasing: (-, -1), (0, 1) Decreasing: (-1, 0), (1, ) 39) f () = 5-5 f -1 () = ) f () = - + f -1 () = + 3 1) f () = + f -1 () = 3 - ) g() = g -1 () = ( + 1) 3-1 M Yi0n1B7a BKcuDtJaP ESeoofWtwzaarbeA JLaLbCH.A E [AulelN nrziigbhotpsp ^rdewsneor]vxewdm.s i kmqafdfep owuivt[hn DIunKfOiuniUtiez Pirae[cjaKlbcsuTlGuVsW. -- Worksheet b Kuta Software LLC

7 Sketch the graph of each function. 3) f () = ( + ), < - -, - < ( - ), ³ ) h() =, < - + 1, ³ ) g() = -, < - -, > ) f () = +, < - - 3, - 3 -, > State the number of comple zeros, the possible number of real and imaginar zeros, and the possible rational zeros for each function. Then find all zeros. 7) f () = # of comple zeros: 3 Possible # of real zeros: 3 or 1 Possible # of imaginar zeros: or 0 Possible rational zeros: ± 1, ±, ±, ±, ± 1 Zeros: -, i, -i} 9) f () = # of comple zeros: 3 Possible # of real zeros: 3 or 1 Possible # of imaginar zeros: or 0 Possible rational zeros: ± 1, ± 3, ± 5, ± 15 Zeros: -5, i 3, -i -3-3 } ) f () = # of comple zeros: 3 u WJ0\1Y7e ZKkuhtGaY [SRoQfXtmwoauraer ALmLoCf.\ t railxlg urdixgihstsc [raefshegrivxehdh.] T AMzaedee] XwXistuhP bijngftiknai]tge^ PBrNeWcXaKlKczuglPuJs]. Possible # of real zeros: 3 or 1 Possible # of imaginar zeros Possible rational zeros: ± 1, ± Zeros: -, i, -i } 50) f () = # of comple zeros: Possible # of real zeros:,, or 0 Possible # of imaginar zeros:, Possible rational Worksheet b zeros: Kuta Software LLC ± 1, ±, ± 3, ±, ± 9, ± 1

8 Find the lateral area of each figure. Round our answers to the nearest hundredth, if necessar. Leave our answers in terms of p for answers that contain p. 51) A pramid with slant height 7 d whose triangular base measures d on each side. Each altitude of the base measures 1.7 d. 1 d² 53) A clinder with a diameter of 10 m and a height of 3 m. 30p m² 55) A prism 1 ft tall with a right triangle for a base with side lengths ft, ft, and 10 ft. ft² 5) A heagonal prism in tall with a regular base measuring 1 in on each edge and an apothem of length 10. in. 57 in² 5) A square prism measuring 5 km along each edge of the base and 10 km tall. 00 km² 5) A cone with radius in and a slant height of.3 in. 1.p in² Find the surface area of each figure. Round our answers to the nearest hundredth, if necessar. Leave our answers in terms of p for answers that contain p. 57) A cone with radius 7 m and a slant height of 15.7 m. 15.9p m² 59) A square pramid measuring 7 d along the base with a slant height of.1 d. 13. d² 1) A square prism measuring 10 mi along each edge of the base and mi tall. 0 mi² 5) A sphere with a diameter of 1 mi. 3p mi² 0) A sphere with a diameter of 7. in. 0.p in² ) A heagonal prism 10 cm tall with a regular base measuring cm on each edge and an apothem of length.9 cm. 11. cm² Find the volume of each figure. Round our answers to the nearest hundredth, if necessar. Leave our answers in terms of p for answers that contain p. 3) A sphere with a diameter of mi. 10.7p mi³ 5) A cone with diameter 1 d and a height of 1 d p d³ ) A heagonal prism in tall with a regular base measuring 1 in on each edge and an apothem of length 10. in.. in³ ) A clinder with a diameter of 1 cm and a height of 9 cm. 79p cm³ A ca0b1p7c KKiuPtkab \SboqfRtrwDaprweN WLvLjCY.C j vakldlb Er\ikgthFt]sh DrDeLsdeArovoeRds.s [ TM\aNd^eM EwiPtChC jifnvfqitngibtgem [PqrueMcdaHlOchualeuZsh. -- Worksheet b Kuta Software LLC

Chapters 8 & 9 Review for Final

Math 203 - Intermediate Algebra Professor Valdez Chapters 8 & 9 Review for Final SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the formula for