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Factoring and Solving Quadratic Equations Worksheet Math Tutorial Lab Special Topic∗ Example Problems Factor completely 1 3x + 36 2 4x2 + 16x

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Elementary Algebra Skill Solving Quadratic Equations by Factoring Solve each equation by factoring 1) x 2 − 9x + 18 = 0 2) x 2 + 5x + 4 = 0 3) n 2 − 64 = 0

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Elementary Algebra Skill Solving Quadratic Equations Using the Quadratic Formula Solve each equation with the quadratic formula 1) 3n 2 − 5n − 8 = 0 2) x

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Worksheet by Kuta Software LLC Kuta Software - Infinite Solving Quadratic Equations by Factoring Solve each equation by factoring 1) (k + 1)(k − 5) = 0

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Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Using the Quadratic Formula Solve each equation with the quadratic formula 1) m

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Worksheet by Kuta Software LLC Algebra 2 Solve each equation by completing the square 1) p Solve each equation with the quadratic formula 13 ) 3k

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I can solve equations using the quadratic formula (with rationalized denominators ) 12 I can use the discriminant to determine the number and type of solutions 13  

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His brother Fred is four years old than Victor The product of their ages is 780 (a) Set up an equation to represent this information

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Lesson Method for solving quadratic equations: First, transform a quadratic equation into standard form, and then decide which method to use 1 Solve 

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Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance1.Read each question carefully before you begin answering it.2.Don't spend too long on one question.3.Attempt every question.4.Check your answers seem right.5.Always show your workings Revision for this topic © CORBETTMATHS 2016

1.Solve x² + 5x + 6 = 0.....................................(2)2.Solve x² + 9x + 14 = 0.....................................(2)3.Solve x² + 21x + 20 = 0.....................................(2)4.Solve x² - 3x - 18 = 0.....................................(2)© CORBETTMATHS 2016

5.Solve x² - 49 = 0.....................................(2)6.Solve x² - 2x - 8 = 0.....................................(2)7.Solve x² + 10x - 24 = 0.....................................(2)8.Solve x² - 13x + 30 = 0.....................................(2)© CORBETTMATHS 2016

9.Solve y² + 4y - 12 = 0.....................................(2)10.Solve m² + 24m + 63 = 0.....................................(2)11.Solve m² - 16m + 64 = 0.....................................(2)12.Solve 2x ² + 5x + 2 = 0.....................................(2)© CORBETTMATHS 2016

13.Solve 5x ² + 19x - 4 = 0.....................................(2)14.Solve 2 x² - 11x + 15 = 0.....................................(2)15.Solve y² - 6y = 27.....................................(2)16.Solve w² + 2w = 8.....................................(2)© CORBETTMATHS 2016

17.Solve x² = 8x - 15.....................................(2)18.Solve x² + 70 = 17x.....................................(2)19.Solve y² + 9y + 2 = 8y + 58.....................................(2)20.Solve 5y ² + 8y - 100 = y² + 4y - 37.....................................(2)© CORBETTMATHS 2016

21.Victor i s y years old.His brother Fred is four years old than Victor.The product of their ages is 780.(a) Set up an equation to represent this information......................................(2)(b) Solve your equation from (a) to find Victor's age......................................(2)22.A rectan gular field is 30m longer than wide.The area of the field is 8800m²Work out the perimeter of the field......................................m(4)© CORBETTMATHS 2016

23.Shown is a right angled triangle.Show that 11x² - 62x - 105 = 0(4)© CORBETTMATHS 2016

24.Shown is a right angled triangle with sides are measured in centimetres.(a) Show that x² - 5x - 14 = 0(4)(b) Find x......................................cm(2)(c) Find the area of the triangle......................................cm²(1)© CORBETTMATHS 2016

25.The surface area of the cuboid is 270cm².(a) Show x² + 4x - 45 = 0(4)(b) Find x......................................cm(2)(c) Find the volume of the cuboid......................................cm²(1)© CORBETTMATHS 2016

26.Solvem = ........................... or m = ...........................(2)27.A wire of length 20cm is cut into two pieces, each of which is bent into a square.(a) If the length of the side of one square is x cm, show that the length of the side of the other square is (5 - x) cm.(2)The total area of the two squares is 14.5cm².(b) Find the lengths of the two pieces of wire. ........................... and ...........................cm(4)© CORBETTMATHS 2016

28.The di agram shows a cuboid.The volume of the cuboid is 5000cm³.(a) Show 2x² - 30x - 500 = 0(3)(b) Solve 2x² - 30x - 500 = 0 to find x, the length of the cuboid...........................cm(3)© CORBETTMATHS 2016

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