Unit 1: Quadratics Revisited Simplify each of the following expressions. 1) = 2) = 3) = i45 i i72 1 i130 -1 4) = 5) = 6) = i 1 i i453 i480 i1241 7) (2 + 3i) + (9 + 4i) 8) (3 + 4i) + (7 2i) 9) (9 + 2i) (12 i) – – – 11 + 7i 10 + 2i -3 + i 10) (5 3i)(3 + 7i) 11) (7 2i)(3 5i) 12) – – – 36 + 26i 11 - 41i 13) 14) |2 + 3i| 15) |5 2i| – Solve the following by factoring. 16) + 8x + 16 = 0 17) 6x = x2 x2 – –9 x=-4 x=3 18) + 8x = 19) 7x + 10 = 0 x2 x2 –12 – Solve the following by completing the square and the square root method. 20) + 4x + 1 = 0 21) 6x + 2 = 0 x2 x2 – Solve each of the following using the quadratic formula. 22) + 3x 5 = 0 23) 2x2 + 5x 3 = 0 x2 – – -3 and ½ Factor and solve the following. 24) 9 25) + 9 26) + 16 x2 x2 x2 – Simplify the following completely. 27) 28) 29) Unit 2: Operations with Polynomials Find the sum or difference of the following. (4y - 2y2 + 7) - (3y - 2y2 + 6) -x2 -4x +2 ( y - y2 ) - (2y - 2y2 ) y + 1 y2 -y (12x 2x3 +4) + (2x 8x2 ) – – (4x2 - 6x -9) + (-5x2 + 2x +11)
Unit 1: Quadratics Revisited Simplify each of the following expressions. 1) i45 = i 2) i72 = 1 3) i130 = -1 4) i453 = i 5) i480 = 1 6) i1241 = i 7) (2 + 3i) + (9 + 4i) 8) (3 + 4i) + (7 – 2i) 9) (9 + 2i) – (12 – i) 11 + 7i 10 + 2i -3 + i 10) (5 – 3i)(3 + 7i) 11) (7 – 2i)(3 – 5i) 12) 36 + 26i 11 - 41i 13) 14) |2 + 3i| 15) |5 – 2i| Solve the following by factoring. 16) x2 + 8x + 16 = 0 17) x2 – 6x = –9 x=-4 x=3 18) x2 + 8x = –12 19) x2 – 7x + 10 = 0 Solve the following by completing the square and the square root method. 20) x2 + 4x + 1 = 0 21) x2 – 6x + 2 = 0 Solve each of the following using the quadratic formula. 22) x2 + 3x – 5 = 0 23) 2x2 + 5x – 3 = 0 -3 and ½ Factor and solve the following. 24) x2 – 9 25) x2 + 9 26) x2 + 16 Simplify the following completely. 27) 28) 29) Unit 2: Operations with Polynomials Find the sum or difference of the following. (4y - 2y2 + 7) - (3y - 2y2 + 6) y + 1 (12x – 2x3 +4) + (2x – 8x2 ) (4x2 - 6x -9) + (-5x2 + 2x +11) -x2 -4x +2 ( y - y2 ) - (2y - 2y2 ) y2 -y
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