week 7 algebra 1

Master Algebra 1 quadratic equations! Practice finding roots by square root and completing the square.

1) Find the roots of the quadratic equation by finding the square root: x2 = 25. x = ±12.5 x = 5 x = -5 x = ±5 2) Find the zeros of the quadratic equation by finding the square root: x2 +10 = 110. x = ±10 x = ±50 3)Find the roots of the quadratic equation by finding the square root: x2 = 7 x = -7 x = ± 49 4) Find the solutions of the quadratic equation by finding the square root: x2 - 3 = 7 5) Find the solutions of the quadratic equation by completing the square: n2 - 2n - 3 = 0 n = 1 and n = 3 n = -1 and n = -3 n = 1 and n = -3 n = -1 and n = 3 6) Find the roots of the quadratic equation by completing the square: x2 + 6x + 8 = 0 x = -2 and x = -4 x = 2 and x = 4 x = -2 and x = 4 x = 2 and x = -4 7) Find the roots of the quadratic equation by completing the square: a2 - 12a + 11 = 0 a = -1 and a = 11 a = 1 and a = -11 a = 1 and a = 11 a = -1 and a = -11 8) Find the roots of the quadratic equation by completing the square: x2 + 14x - 15 = 0 x = -1 and x = 15 x = 1 and x = -15 x = 1 and x = 15 x = -1 and x = -15 9) Explain why both x = 3 and x = - 3 are solutions to the equation x2 = 9. 10) Anne was solving x2 - 6x - 1 = 0 by completing the square. Her work is below. • On what line was the mistake made?• What was the mistake? • Correct the mistake and find the correct solutions.