Higher Maths Quadratic Formula Worksheets

Red Worksheet - Solve the following quadratics using the Quadratic Formula and match the question to the answer. Questions: Answers 1) x2 + 14x + 24 = 0 x = -3 or x = -7 2) x2 + 9x + 18 = 0 x = -2 or x = -12 3) x2 + 7x + 12 = 0 x = 12 or x = 3 4) x2 + 10x + 21 = 0 x = -3 or x = -6 5) x2 + 22x + 21 = 0 x = 1 or x = -134 6) x2 - 15x + 36 = 0 x = 6 or x = - 23 7) 4x2 + 3x - 7 = 0 x = -3 or x = -4 8) 3x2 -16x 12 = 0 x = -1 or x = -21 Amber Worksheet - Solve the following quadratics using the Quadratic Formula and match the question to the answer. Don t forget to order your equation first. Questions: Answers 1) 2x2 + 5x + 2 = 0 x = 12 or x = 3 2) 4x2 + 3x 7 = 0 x = - 21 or x = - 1 3) x2 + 2x - 5 = 0 x = - 12 or x = -2 4) 1 + 8x + 7x2 = 0 x = - 1 or x = - 17 5) 22x + 21 + x2 = 0 x = 15 or x = - 13 6) x2 + 36 - 15x= 0 x = or x = 7) - 3 + 8x2 + 10x = 0 x = 1 or x = - 134 8)

2) Find the discriminant of each of the quadratic equations on the green task sheet (the discriminant is just the section of the formula that lies under the square root – i.e. b2 – 4ac) Equation Discriminant (b2-4ac) Solutions (from task sheet) - 216x + 3x - 12 = 0 x2 – 4x – 7 = 0 4x2 + 8x = 96 7x2 + 10 = 37x

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  Formula, Quadratic, Quadratic formula

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