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8-8 Practice A Completing the Square Complete the square to form a perfect square trinomial. 1. x2 6x 2. x2 12x 3. x2 8x Solve each equation by completing the square. 4. x2 6x 8 5. x2 6x 5 2 2 b Find : ___________________________ 2 b Find : ___________________________ 2 Solutions: ___________________________ Solutions: ___________________________ 6. x2 2x 24 0 7. x2 10x 16 0 2 2 b Find : ___________________________ 2 b Find : ___________________________ 2 Solutions: ___________________________ Solutions: ___________________________ 8. 2x2 8x 10 9. 3x2 12x 36 0 Divide by a: ___________________________ 2 Divide by a: ___________________________ 2 b Find : ___________________________ 2 b Find : ___________________________ 2 Solutions: ___________________________ Solutions: ___________________________ 10. A rectangular patio has an area of 91 ft2. The length is 6 feet longer than the width. Find the dimensions of the patio area. Solve by completing the square. a. Find the width and the length in terms of w. _____________________________________ b. Write an equation for the total area. _____________________________________ 2 b c. Find . 2 _____________________________________ d. Find the dimensions. _____________________________________ 11. A sand box has an area of 45 ft2. The length is 4 feet longer than the width. Find the dimensions of the sand box. Solve by completing the square. a. Write an equation for the total area. _____________________________________ b. Find the dimensions. _____________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1