Algebra j av0khj Kjuutgam LS[oufZtrwraWr`eH BLWL`Ce.e c hanl^lb ^rqimgwhttmsb TrheRsUeYrIv`e`dU. Final Review Name Date Block Determine whether the numbers are rational or irrational. Eplain wh. Do the belong to an other sets of numbers? ) p ) 8 ) ) -8 Evaluate each epression. ) + 7 - - - -7 ) 8 - (( - ) - - ) Evaluate each using the values given. 7) z + + ; use =, =, and z = 8) a(c + b); use a =, b =, and c = Solve each equation. 9) n + = - ) (a - ) = ) ( + ) = ( + ) + 9 ) -(-7r - ) = - (- - r) ) r - = -. + r +. -. Solve each proportion. ) + = 7 ) n + = n + Solve each inequalit and graph its solution. ) -8 + > 7-7 - - - - - - 0 f DT0HHw ]KauftGa_ ISooYfYthwaaUrpeJ _L_LgCD.r Z LAOldlJ JrgiwgwhBtpsF arjegspekrwv_ebdu.q _ Mgakdeez kwzisthn biqnvfgineidtoeu BAdlgJe\bBrHal \z. --
7) 9 7 ( + n) 0 7 8 9 Solve each compound inequalit and graph its solution. 8) + b > 8 or 8b - 9-7 9) - ³ k - 8 > - - - - 0 8-8 -7 - - - - - - 0 Solve each equation. 0) b + - = - ) - v + = - ) + 8 = ) 9 + + 7 = Solve each inequalit and graph its solution. ) r - > 8 ) p - -8-0 8 - - - - - 0 7 Find the slope of the line through each pair of points. ) (-, ), (-, -) 7) (, 7), (0, -8) Write the slope-intercept form of the equation of each line. 8) 9) - - - - - - - - - - - - - - b PC0hlm dk\ugt[ap bsioufvtgwlacrxeb elnlfcf.t l NAelRlq GrIiCgZhHtesR nr`egsperravoeddm._ O omjamd[eu ^wpigthhb [IfnBftiEnoictze[ qaalpgletbhrag Yz. --
Write the slope-intercept form of the equation of the line through the given point with the given slope. 0) through: (-, 0), slope = ) through: (-, ), slope = - Write the point-slope form or slope intercept of the equation of the line through the given points. ) through: (, ) and (0, -) ) through: (0, -) and (-, -) Sketch the graph of each line. State the slope and Domain & Range. ) = ) = - - - - - - - - - - - - - - - - - - - - - - - - - ) + = - - - - - - - - - - - - 7) = - - - - - - - - - - - - - a EB0jHM ekqu[tbaf esaolfitjwuahrwej DLLYC].R U aaoltlj ]reizgrhetmse rr_eoskeerlvedc.` e omvatdtee ]wmietkho JIHntfFidnpiDtte\ ZArlVglebBrCah W[. --
Solve each sstem b graphing. 8) - + = - + = - - - - - - - - - - - Sketch the solution to each sstem of inequalities. 9) + > - - - - - - - - - - - - Solve each sstem b substitution or elimination. 0) - + = - + = ) - = -0 - - = - ) Am and Moll are selling cookie dough for a school fundraiser. Customers can bu packages of white chocoloate chip cookie dough and packages of double chocolate cookie dough. Am sold 7 packages of white chocoloate chip cookie dough and packages of double chocolate cookie dough for a total of $9. Moll sold 7 packages of white chocoloate chip cookie dough and packages of double chocolate cookie dough for a total of $. Find the cost each of one package of white chocoloate chip cookie dough and one package of double chocolate cookie dough. O dt0nzu qkwudthah ]Spohf^tCwAacrJeM jlzljcu.f i KARlRlE criingahmtfs` lroesjeartvqewd\.a ` RMoaCdoe twbiot`hr VILn[fQisnZiBt]eP iavlegeeqbwram op. --
Graph each equation. ) = - - ) = + + - - - - - - - - - - - - - - - - - - - - - - - - Simplif each difference. ) (7n + - n ) - (-n - 8 + n ) Simplif each sum. ) (-u v - uv + 7u ) + (-uv + u v - u ) Find each product. 7) v(u - uv + v ) 8) (r - )(r + ) 9) (m - 7)(m + ) 0) ( + )( + ) ) ( - )( + ) ) (8a + b) ) (n - )(n + 7n - ) Factor the common factor out of each epression. ) 7r - r - r + 8r 7 s La0nUZ FKLut^as ^SJopfrt\wkarPea [L^LKCE.U V fallald argi\gchjtws ZrLeDsNeQrvwebdB.R ^ EMOaudpeB wmibtfhj IQnMfXiCniitIeu CAFlEgQehbprhaU w]. --
Simplif. ) ) 7) - 8) - 0 9) 8 0) ) ) 7 + 7 ) - 8 - Find the discriminant of each quadratic equation then state the number and tpe of solutions. ) m + m + 9 = 0 ) + + = 0 Solve each equation b taking square roots. ) - = 09 7) 9v + 7 = 8 Solve each equation b factoring. 8) k + = 9k 9) = - - Solve each equation b completing the square. 70) k + 0k - 8 = 7) a - a - = 0 U XE0I`A KsuktmaD ASNoefbtXwFagrJeP ILfLJCj.Z P UAzlIlE Ur\iSgzhwttsO hrweysueprve_db.z v gmeavdxem ewgibtfhc dimnafkirnnixtreg WAOl\g]efbcrLaC Cq. --
Solve each equation with the quadratic formula or factoring 7) - = 7) = 0-7) b - = -b 7) 8r + = r Sketch the graph of each function. State the Domain & Range. 7) = 77) = - 8. 0. - - 8 - - - - -0. - -. - -. - -. - 78) = - - -.. 79) = ( + ) -.. 0. - - - - - -0. -9-8 -7 - - - - - - - - - - - q tv0gmd akuhtaab qsxozfdtswlaurtek dllcb.p H PAAlflR SroiMgphHt^s[ LrDejsjetrHvMeAdw.U [ rmlahdkeo Gwi`tXhI iivnnffiongimtles AVlgZeHb[rTa^ A^. -7-
Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. Identif the relationship as linear or quadratic. Also find the equation of the function that best fits the data. 80) X Y X Y X Y 0 70 80 80 80 7 80 9 80 90 80 8) X Y X Y X Y 0. 0 0.0 80 0.8 0 0.7 0 0.89 0 0.7 0 0. 0 0.7 0 0.8 0 0.97 800 700 00 00 00 00 00 0 80 70 0 0 0 0 0 7 8 9 0. 0. 0. 0.8 8) The height and weight of several adults were recorded: Height (ft).7..7.9.. Weight (lbs) 98.7 9 7 8 It was discovered that this can be modeled b the equation =. - 9. + 9. where is height in feet and is weight in pounds. a) Using this model, what would be the weight of someone who is.0 ft tall? Round our answer to the nearest tenth. b) According to the model, what would be the weight of someone who is 7 ft tall? Round our answer to the nearest tenth. Find the mode, median, mean, range, and interquartile range for each data set. Construct a bo & whisker plot. 8) Hours Slept 8) 8. 7. 8.7 7. 7. 7.7.7... 7. 8. Hits in a Round of Hack Sack 8 7 9 7 c [0YUC CKquXtCaU _ShorfqtMwvaQrNeS LLNL_Cr.A T [Amlqla ZrWiDghTtCsb QrSeIsAevrYvte_dY.l U lmaamdtep uwxiltbhc ciznhfmiondiytdeg RAlwgkezbYr[aT uw. -8-
Graph each function. State asmptote and Domain & Range. 8) = ( ) 0 8) = - + - -8 - - - - 8 8 - - -8 - - - - -8-0 - - - Simplif. Your answer should contain onl positive eponents. 87) 88) ( -u - ) uv - u - v 89) nm mn ( n ) 90) - z - - - z z ( z ) ( 9) - - z - 0 z - ) - z 0 9) ( n )0 -m n 0 p -mn p l Tc0fRH _KwuPtmak KSIoofltowIaWrteu OLaLJCp.K A \AUlklP brciogwhktfsh freesremr[vpegd.s H fmbacdhe[ ewistrhm minnwfmipn[imtev mablng_esbkrja\ bo. -9-
Solve each problem. 9) is what percent of 0? 9) What is % of? Find each percent change. State if it is an increase or a decrease. 9) From 8 to 9) From to 8 Determine if the sequence is arithmetic. If it is, find the common difference, the term named in the problem, and the eplicit formula. 97) 8, 9, 0,,... Find a 98) 0,, 0,,... Find a Determine if the sequence is geometric. If it is, find the common ratio, the term named in the problem, and the eplicit formula. 99), -, 9, - 7,... Find a 0), 8,,,... Find a ^ ML0hjf vkuuat_aw ]SsonfGtZwAahrueN llhlfc.p w zaplqlk [rhiwgvhttusl pr[e]syebrkvnebdz.m k lmbaldqek `wdiftmhd VIbn[fvienRitOev ^A[lYgDeJbFrCao tg. --
Answers to Final Review ) Irrational ) Irrational ) Whole & Natural Number, Integer, Rational ) Integer, Rational ) ) - 7) 8) 8 9) {-8} ) {8} ) No solution. ) {-} ) { All real numbers. } ) {-} ) {} ) < - : - - - 0 7) n ³ : 0 8 8) b > 8 or b - : - - - 0 8 9) - < k : 0) {0, -} -8-7 - - - - - - 0 ) {, -8} ) {, -7} ) No solution. ) r > 9 or r < -9 : - -8-0 8 ) - p : - - - - - 0 7 ) 9 7) -7 8) = + 9) = - - 0) = + ) = - + ) - = ( - ) ) = - - ) ) ) - - - - - - - - - - - - - - - 7) - - 8) (, -) 9) - - - - - - - 0) (, ) ) (-, 8) - - - - ) package of white chocoloate chip cookie dough: $9, package of double chocolate cookie dough: $0 ) ) ) -n + 8n + - - - - - - - - - - - - ) -u v - uv + u 7) vu - v u + v 8) 8r - r - -- _ k_0js\ fktu_t^ar LSVosffttwacrXeT \LhL\C.U ^ GAkl`ls srwingghftcsg ]rrefsnesrbvaeydm.s _ [MIawdzeS XwWiOtThl hifnfzivnximtqee fanlsgze[bfrna] XW.
9) m - 0m - 0) + + ) - ) a + 80ab - b ) 8n + n - n + 8 ) 9r( - r - r + 9r ) ) 7 ) 7) -80 8) - 9) 0) ) 8 ) ) -9 ) -; no real solutions ) 0; one real solution ) {, - } 7) {8, -8} 8) {7, } 70) {, -} 7) {, -} 7) {, - } 7) {, - } 7) 79) -8-8 77) 80) 800 - - - - - - - 7) { +, - } 7) No solution. 78) 9) { -, - } - - - - - - - 00 00 Positive correlation Quadratic = 8.79 +. - - 00 8) 80 70 0 0 0 0 0 - - Negative correlation Linear = -7.97 + 8. 8 8). lbs,. lbs 0. 0. 0. 0.8 8) Mode = 7, Median = 7, Mean =.87 and IQR = 8) 0 8 8 - - - 8) Mode =, Median = 7, Mean = 8. and IQR = 7. 8) 87) 7-8 - - - - - - -8 - - - - -8-0 m `j0^u KpuDt[ao DSAoUfftHwzaKrYez ALwLrC.[ w BAElzlA rrnimgthtas^ hrqe]s\ecrlvherdj.d O [MgatdweN _wui[tbh` VIPnpfUiZnZiMtjed tasl]gnelbnruac H. --
88) - 89) m 90) - 9) u n z z 9) 7.% 9).9 9) 0% decrease 9) m p n 9).% increase 97) Common Difference: d = -9 a = -87 98) Common Difference: d = a = Eplicit: a n = 0 + (n - ) 0) Common Ratio: r = a = 89 Eplicit: a n = n - Eplicit: a n = 8 + (n - ) -9 99) Common Ratio: r = - a = 909 Eplicit: a n = ( - ) n - c pt0mwr tkouvtoaw SLoCfCtjwvaWrmet tlpluce.t X QAdllv rriugqhitgsn PrEebsetrjv_eXdj.n t OMQa[dTew Wwliftdhu YInnQf^iXn_iotVeY ZAclJgfeEbKrIas kx. --