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Worksheet 3 ALG 2 1. x2 - 3 =1 a. Solve by graphing. b. Solve by factoring. c. Solve by taking square roots. 8 6 4 2 -6 -4 -2 0 2 6 -2- 2. Find the square of each imaginary number. The first one is done for you. a). 8/ b). -3i c). iV3 -64 3. Show how to simplify the expressions by combining like terms. The first one is done for you. a). (27) + (6+ 9/) b). (37 ) - (4+7i) c). (-5+27) + (-2+8/) (21 + 97 ) + 6 4. Solve using the quadratic formula. a). -2x2 = 5x - 20 b ) . -4x2 -3x - 36 = 0 156 words5. Write the equation of each circle: a) Center (3, 5) and radius r= 6 b) 994319; (1, 0) and containing the point (2, 4) 6. Solve each system: x2+4x+15y92=0 x2y =3 7. Solve each system using elimination. 30x 50y 402 = 61 50x 60y 502 = 142 6x y = 21 8. Simplify: ('3x4 + *6 '9X5 + 2X2 - 7)-(2X5 + x 4x2 x\" +12) 9. Simplify: -y3(10x2 + 4xy - yz) 6_ (2a bf 10. Factorize: a) 12V4 - 75 b) 5.05 - 80 11. Factorize: a). 5x(x + 3) + 8(x + 3) b). 15(x 2) + 3x(x _ 2) 12. Solve: 6x3 +12x2 -18x = 0 13. Solve each equation by completing the square: 3). X2 + 2x = 3 b). 3x2 + 18x = 30 156 words