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Algebra 1X - Quadratic Equations Name___________________________________ Unit 11 Review Date________________ Period____ ©n y2H0Q1J2a PKluktqac USPoGfEt1wkaDrHeH 2LlLECJ.v 4 qAjlKlW trciFgWhwtfsq Crceysgekrdv8e0dd.k Find the discriminant of each quadratic equation then state the number of real solutions. 1) 9n 2 + 6n + 1 = 0 2) −3 x 2 − 6 x + 9 = 0 Solve each equation by completing the square. 3) v 2 + 16v − 24 = 5 4) b 2 − 4b − 37 = −7 Solve each equation by factoring. 5) x 2 − 6 x + 5 = 0 6) x 2 − 2 x − 24 = 0 Solve each equation by taking square roots. 7) a 2 − 10 = −10 8) k 2 − 9 = 90 Solve each equation with the quadratic formula. 9) 11 x 2 + 11 x − 10 = 0 10) 4 p 2 − 6 p − 11 = 0 11) 4m 2 − m − 50 = 10 12) 8n 2 + 12n − 5 = 12 Solve each equation by taking square roots. 13) x 2 + 6 = 31 14) 64r 2 = 16 Solve each equation with the quadratic formula. 15) 5n 2 = 9n + 2 ©y s2D0m1y2h IKkuttvan bSxo3fAtjwkaJrKeK XLVLMCY.0 3 8AKlalX zrtiagJhzt1sW Zr6eCsNe3rXvRepd1.4 C uM8agdLeY EwZiItBhN 2Innpfxi8nuiFtpe7 hAql3gUeabGrTaF F2Q.i 16) 4b 2 − 9 = 5b Worksheet by Kuta Software LLC Algebra 1X - Quadratic Equations Name___________________________________ Unit 11 Review Date________________ Period____ ©P 22T0F1X26 3K3unt2a1 oSpo6fOtnwmaxrOen dL5LMC9.2 G 3A3lQlD xreiZgahSt0sN NrdelsregrqvKePdu.Z Find the discriminant of each quadratic equation then state the number of real solutions. 1) 9n 2 + 6n + 1 = 0 0; one real solution 2) −3 x 2 − 6 x + 9 = 0 144; two real solutions Solve each equation by completing the square. 3) v 2 + 16v − 24 = 5 {−8 + 93, −8 − 4) b 2 − 4b − 37 = −7 93 } {2 + 34 } 34, 2 − Solve each equation by factoring. 5) x 2 − 6 x + 5 = 0 6) x 2 − 2 x − 24 = 0 {1, 5} {−4, 6} Solve each equation by taking square roots. 7) a 2 − 10 = −10 {0} 8) k 2 − 9 = 90 {3 11, −3 11 } Solve each equation with the quadratic formula. 9) 11 x 2 + 11 x − 10 = 0 { −11 + 561 −11 − 561 , 22 22 } 11) 4m 2 − m − 50 = 10 { 4, − 15 4 } 10) 4 p 2 − 6 p − 11 = 0 { 3+ 4 53 3 − , 4 } 12) 8n 2 + 12n − 5 = 12 { −3 + 43 −3 − 43 , 4 4 Solve each equation by taking square roots. 13) x 2 + 6 = 31 {5, −5} 53 14) 64r 2 = 16 } { } 1 1 ,− 2 2 Solve each equation with the quadratic formula. 15) 5n 2 = 9n + 2 { } 2, − 1 5 ©N 8280g1L2c iKmuRtsaa bSroufutxwaaMrQeU 9LeLGCs.r 3 RA4lZlD 2rYijghhRtKsZ WrIetsneErZv2eHdd.y T HMNaxdGeB ZwWi1t9ha 6IunOfJi7nfi7theX tA8l8gDe1berIae T2S.b 16) 4b 2 − 9 = 5b { } 9 , −1 4 Worksheet by Kuta Software LLC