3) y = -3 x y ) n - 3 = -83

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1 Algebra Honors d zy01e8_ RKRuItwao lsrosfrtawdaarbeg NLCLECK.i V KAflTlv orizgghjt^s YrYeesQedrev_emdK. Midterm Stud Guide Regression Name ID: 1 Date Period 1) a. You create a new website. The table below shows the number of hits on our website per da. Use a graphing calculator to find the linear regression model. Da Hits b. The table shows the number of feet above the water, a missile is located number of seconds after it is launched. Use our calculator to find the quadratic regression model for the data c. The table shows the amount of mone, in billions of dollars, spent on advertisement for a certain compan for the ears 1980 to Use our calculator to write a cubic regression model. Year $ Spent in billions a. = b. = c. = Graph each equation. ) = + 3) = Solve each equation. ) v = - {-, - 5 } G ]X0O1F8u bk\u`tlaa asqogfmtjwsa_r_ee HLlLCCE.Q m RAlalN IreiRgBhQtas` crgepsxewrbvwegdp.m j hmtazdsed vwci`thu TIknVfWipnWiotVeN dahlnggejbxrqag DK. -1-5) -5 - n - 3 = 3 {-5, 11} Worksheet b Kuta Software LLC

2 ) 9 = -3 No solution. Solve each inequalit and graph its solution. 7) v - 1 < -15 8) v < 8 or v > ) b ) - + < No solution { All real numbers. } Solve each equation b taking square roots Allow for imaginar numbers. 11) -v - 7 = 9 {i, -i} 1) v - 7 = 1 {, - } Solve each equation b factoring. 13) b + 13b + 15 = 0 {-, 3-5} 15) k - 1k = -9 {7} 1) n - 5n - 11 = - { 7, -1} 1) m + 1m = -3 {, -} Solve each equation with the quadratic formula. Allow for imaginar numbers. 17) 9-3 = 1 { + 3 3, } Factor each completel. 19) r - r + 5 (r - 7)(r - 9) 18) 7r - r = - { 3 + i 5, 3 - i } 0) 3n - n - 1 (3n - 8)(n + ) 1) (3 + )(9 - + ) ) m - 9m m(m - 9) 3) a 3 - ) 8n - 7 (a - 1)(a + a + 1) A vk0a1m8^ RKSuctual gsrojfbtkwwalrde` olglc_.z m XAlSl_ qrciggwhftksg PrreMsrebrgvaeod\. B nmtasd`ee rwmirtbhv sijnpfvinnpitier BAHlUgCebbcrLa^ Qe. -- 3(n + 3)(n - 3) Worksheet b Kuta Software LLC

3 5) (5 - )(3-8) ) a + 5a + (a + )(a + 3) Find the discriminant of each quadratic equation then state the number and tpe of solutions. 7) -10 p - p - 13 = -3-39; two imaginar solutions 8) = - 5; two real solutions Identif the verte and ais of smmetr of each. Then sketch the graph and state the range. 9) = Verte: (-5, 0) Ais of Sm.: = -5 30) = 3( - ) Verte: (, -5) Ais of Sm.: = ) = -( + 7)( + 3) 8 Verte: (-5, ) Ais of Sm.: = -5 3) = Verte: (, ) Ais of Sm.: = Use the information provided to write the standard form equation of each circle. 33) Center: (, 0) Radius: ( + 8) + = 1 T kz0i1`8] rkcuutzad CSoSfZt]wFalrtev vlmlrcb.^ o uaalmla Nr_iCgqhOtCso ZrkeEseesr\vGewdn.T P NMcaWd\eH ]wpiatwhn SI`nLfWitnMijtBeX QAelCgbeEbAr_aF Gj. -3-3) = 0 ( - 15) + ( + 5) = Worksheet b Kuta Software LLC

4 Solve each sstem. 35) = = 30 (-, 3) 3) = = 5 (-3, 1) 37) a - b + c = -15 -a - c = - -a - b - c = -10 (1,, 0) 38) r + 5s + t = -3 r + 5s - 3t = 17 -r + 3s - t = 7 (1, -1, -) Solve each sstem b substitution. 39) - = 1 = (-3, -) 0) = = -5 No solution Solve each sstem algebraicall. 1) f () = g() = Find where f () = g() {(-5, ), (-1, 0)} ) = ( - 5) = 3 {(8, 3), (5, 5)} Simplif. 3) (- - i) + (-3-7i) -9-8i ) (- + i) + (5 + 8i) i 5) (- + 8i) - 9i ) ( - 8i)( - i) 0 + 0i 7) 5 5i -i 8) 8-9i 8i 9 9) 3 50) 98 7 V Uc0b1A8b KOutbar KS]oifUtQwoatrse tl_lqcz.n B BAUlrl^ Wr]idgRh]tYsU XrseKsuemrgvSeMd].p i CMHaRdmem swkibtahl BInnZfEiOnXiTtBe[ \AvlYgkedbNrkaT ga. -- Worksheet b Kuta Software LLC

5 Describe the end behavior of each function. 51) f () = as -, f () as, f () - ; Find each product. 53) (8-7)( + ) ) (n - 3)(n - n + 8) n 3-7n + 35n - 57) (a + ) 3a + 8a + 1 5) f () = as -, f () as, f () - ; - 5) (3n + )(5n + ) 15n + 1n + 5) (5 p + 1)( p + 8 p - 5) 0 p 3 + p - 17 p ) (n - ) n - 8n + Simplif each epression. Then classif the result. 59) (7 p + 8 p 3 - ) + ( p 3 - p + 7) 10 p 3 + p + 3; cubic trinomial. 0) (5n + n 3 + ) - (8n - n + 3) 7n + n 3-8n + 1; quartic pol Find all roots. Allow for imaginar number. 1) = 0 {, -, i, -i} 3) = 0 {, i, -i} Divide. 5) ( ) ( - ) ) (3v 3 + 7v - 1v - 71) (3v - 8) v 7 + 5v + 8-3v - 8 Evaluate each function at the given value. ) 3 - = 0 {, - + i 3, - - i 3 } ) = 0 {3, -1 mult. } ) (v 3 - v - 8v + 33) (v + 5) v - 7v v + 5 8) (b 3 + 5b - b + 13) (b - ) b 5 + 9b - + b - 9) f () = at = - 70) f (n) = n + 10n 3 + 5n + n - 1 at n = l tf0[1a8m ^KjuStraM YSko_fztlwjaIr`eb flalkch.s D PALlwlf GrciTgXhwtmsU Grveis\eYr\vqeAdg.u B CM\audeeV Xwni[tihX hiwnzfiongigttej AolggMeTb_rWas Yk. -5- Worksheet b Kuta Software LLC

Review for Midterm Exam

Review for Midterm Exam Algebra Name n ]0\sD tkkustsaf ASPoRfrtfwZaArHep clzldcg.q L maflnlp orbitgjhxtlsr LrmeesaecrbvFedk. Review for Midterm Eam Graph each line. Date ) = + ) + 5 = 0 5 5-5 - Find the inverse of the linearfunction.