Quadratics Test 2 Study Guide

Transcription

1 Algebra Name V Qj0H[` IKzuptGap ssconfxtlwabrqec [LfLJCf.N X ga^lalw UrViQg]hVtAsz Or\ejsZeErvdeYdn. Quadratics Test Stud Guide Solve each equation b taking square roots. ) m + = 0 ) - = Period Solve each equation b factoring. ) n + = n ) v = -7v - Solve each equation with the quadratic formula. ) k - k = -7 ) n - 0 = -7n Find the discriminant of each quadratic equation then state the number and tpe of solutions. 7) = ) = - u N`0kKT jktujtyan OSzoNfJt]wDahrCeX pl\ljcr.n h TAllclk XrqiugKhmtXs] \rqeys[exrhvreldb. g KMDaodseL HwSiHtlhp \IVnfUirn^ictcez _AbldgveqbWrSaB Mp. -

2 Sketch the graph of each function. 9) = ) = ) = ) = h K0mwQ wkturtwaj ESAoefptewnaFreeo VLnLCCD.h J iavlolp NrXi]gQhetbsL MrceosdesrEveDda.B ] dmva`dee_ RwLiRtEhh CIwnSfCiFnbiftLez cauljgmerber^aj mz. -

3 Answers to Quadratics Test Stud Guide ) {.7,.7} ) {.7, -.7} ) {, 7} ) {, } ) {.,.} ) {, } 7) ; two real solutions ) -; two imaginar solutions 9) 0) ) ) v XD0XZz kkguut[ay _SrolfPttwGaqrwe` HLrLcCs.X q datlllf prdivg]hetssu grvegsberbvzepdm.^ h ZMeaQdFec swgiatbhp NICnMfuiGn]iTtEeW zablbgxetbdrpa lc. -

4 . Alan is standing on a hill 0 feet high. He throws a baseball upward with an initial velocit of feet per second. The height of the ball h(t) in terms of the time t since the ball was thrown is h(t) = t + t Jessica, who has a bionic arm, is crossing a bridge over a small gorge and decides to toss a coin into the stream below for luck. The distance of the coin above the water can be modeled b the function = +9+, where measures the time in seconds and measures the height, in feet, above the water. a) Find the greatest height the coin reaches before it drops into the water below. b) Find the time at which the coin hits the water.. A projectile is launched at a speed of 0 meters per second from a 9-meter tall platform. The equation for the object s height S at time t seconds after launch is S (t) =.9t + 0t + 9, where S is in meters. a) How long will it take for the object to reach its maimum height? b) When will it reach a height of 0m above the ground? Round all of our answers to the nearest hundredth.. The height of a projectile is modeled b the equation = + + 0, where is time, in seconds, and is height, in feet. During what interval of time, to the nearest tenth of a second, is the projectile at least feet above ground?. The weekl profit function in dollars of a small business that produces fruit jams is P() = where is the number of jars of jam produced and sold. a) Find the number of jars of jam that should be produced to maimize the weekl profit b) Find the maimum profit c) How man jars need to be sold in order to make a profit. During archer practice, Paula shoots an arrow into the air such that its height at an time t, is given b the function h(t) = t + kt +. If the maimum height of the arrow occurs at time t=. seconds, what is the value of k? 7. Barb pulled the plug in her bathtub and it started to drain. The amount of water in the bathtub as it drains is represented b the equation L = t t +0, where L represents the number of liters of water in the bathtub and t represents the number of time, in minutes, since the plug was pulled. How man liters of water were in the bathtub when Barb pulled the plug?. Determine, to the nearest tenth of a minute, the amount of time it takes for all the water in the bathtub to drain. 9. The path of a rocket fired during a fireworks displa is given b the equation s(t) = t t, where t is the time, in seconds, and s is the height, in feet. What is the maimum height, in feet, the rocket will reach? In how man seconds will the rocket hit the ground? 0. A laundr owner s estimate of her weekl profits, p, in dollars, is given b the equation p = w + 0w, where w represents the number of workers she hires. What is the number of workers she should hire in order to earn the greatest profit?

5 Algebra Name I f\0plk nksultpad BSkoafmtLw[aIrpeo HLKLgCd.p Q sadlrla YrCiJg\hItms_ WrEeLslelrevhePd. Quadratics Skills Review Factor each completel. ) r - ) m - m - Date Period ) n - 0n ) p + p + Solve each equation b factoring. ) a - 7a + = 0 ) = 0 7) (n + )(n - ) = 0 ) (n + )(n - 7) = 0 9) k + = k 0) v = v - h ww0iir qkru`tnap QSVoNftCwmaIrWeA CLYLfCz.s P jael_lx Ir]iLgahstFsV qrwespehrkvuecdc.u RMmaEd^e^ Zw^iAtkha gimnvfli]nlistzep AQlngOekbRrbab Pr. -

6 ) - + = 0 ) n - n + = 0 Sketch the graph of each function. ) = + + ) = ) = - ) = C Lq0ZZg KKAuItgaT ssmoqfhthwmabrkep olbllcu.h w CAgllD MrNihgrhvtAs] drtesgekrmvbemdo.i b GMmaSd_eS DwHint[hR sirnlflirn`i]tded la[lzgsefbpreaw Gl. -

7 Answers to Quadratics Skills Review ) (r + )(r - ) ) (m - 9)(m + ) ) n(n - ) ) ( p + )( p + ) ) {, } ) {-, } ) {, 7} 9) {, } 0) {-, -7} ) ) 7) { - }, ) { 7, } ) { }, ) ) h E0IHT `Kputtca\ NSKoCfktMwaazrtet rlilsca.t w EAPlHl[ pr]ijgjhgtfsm FrReaszeSrEvLeXdK.J o LMpavdeH AwqiztFhk ]IFnLfAiEn\ilt`ed YAllgXeub[rXa` rs. -