Red Worksheet - Solve The Following Quadratics Using The .

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Red Worksheet - Solve the following quadratics using thequadratic formula and match the question to the answer.Questions:Answers1) x2 14x 24 0x -3 or x -72) x2 9x 18 0x -2 or x -123) x2 7x 12 0x 12 or x 34) x2 10x 21 0x -3 or x -65) x2 22x 21 0x 1 or x -16) x2 - 15x 36 0x 6 or x -7) 4x2 3x - 7 0x -3 or x -48) 3x2 -16x – 12 0x -1 or x -213423

Amber Worksheet - Solve the following quadratics using thequadratic formula and match the question to the answer.Don’t forget to order your equation first.Questions:Answers1) 2x2 5x 2 0x 12 or x 32) 4x2 3x – 7 0x - 21 or x - 13) x2 2x - 5 0x -4) 1 8x 7x2 0x - 1 or x -5) 22x 21 x2 0x or x -6) x2 36 - 15x 0x 1.45 or x -3.457) - 3 8x2 10x 0x 1 or x - 18) – 1 2x 15x2 0x or x - 112or x -2115317341142

Green Worksheet - Solve the following quadratics using thequadratic formula and match the question to the answer.Don’t forget to rearrange your equation first.Questions:Answers1) - 16x 3x2 - 12 0x 22) x2 – 4x – 7 0No solutions3) 4x2 8x 96x -1.32 or x 5.324) 7x2 10 37xx 6 or x -5) x2 2x - 5 0x -6) - 4x - x2 - 4x - 6 or x 47) 4x2 20x -25x 8) 2x2 5x 4 0x 1.45 or x -3.45272352or x 5

Extension 1Why aren’t both solutions to the quadratic appropriate for this problem?

If the area of the pentagon is 42cm2 find an appropriate value for x.

Extension 21) Where did they go wrong?Find as many mistakes as you can in this answer to the solution of2x2 – 4x – 3 0Model Answer: 4 16 24 4 40𝑥 2 20 2 1022𝑤ℎ𝑖𝑐ℎ 𝑔𝑖𝑣𝑒𝑠 𝑥 8 𝑜𝑟 122) Find the discriminant of each of the quadratic equations on thegreen task sheet (the discriminant is just the section of the formulathat lies under the square root – i.e. b2 – 4ac)Equation- 16x 3x2 - 12 0x2 – 4x – 7 04x2 8x 967x2 10 37xx2 2x - 5 0x2 2x - 5 04x2 20x -252x2 5x 4 0Discriminant (b2-4ac)Solutions (from task sheet)

3) Looking closely at the discriminant of the equation and thesolutions to the equation what links can you see between thediscriminant and the number (or sort) of the solutions you get?Why do you think this is?4) Using the discriminant and your findings above, decide how manysolutions each of these equations would have:1. 2x² 8x 2 02. 3x² – x 10 03. 2x² 4x 2 0

Additional Support CardsRed SetRed SetRed Seta 1, b 7 and c 12a 1, b 7 and c 12a 1, b 7 and c 12a 1, b 22 and c 21a 1, b 22 and c 21a 1, b 22 and c 21a 3, b -16 and c -12a 3, b -16 and c -12a 3, b -16 and c -12a 1, b 14 and c 24a 1, b 14 and c 24a 1, b 14 and c 24a 1, b 10 and c 21a 1, b 10 and c 21a 1, b 10 and c 21a 4, b 3 and c -7a 4, b 3 and c -7a 4, b 3 and c -7a 1, b 9 and c 18a 1, b 9 and c 18a 1, b 9 and c 18a 1, b -15 and c 36a 1, b -15 and c 36a 1, b -15 and c 36

Additional Support CardsAmber SetAmber SetAmber Seta 1, b 2 and c -5a 1, b 2 and c -5a 1, b 2 and c -5a 1, b 22 and c 21a 1, b 22 and c 21a 1, b 22 and c 21a 15, b 2 and c -1a 15, b 2 and c -1a 15, b 2 and c -1a 2, b 5 and c 2a 2, b 5 and c 2a 2, b 5 and c 2a 7, b 8 and c 1a 7, b 8 and c 1a 7, b 8 and c 1a 8, b -10 and c -3a 8, b -10 and c -3a 8, b -10 and c -3a 4, b 3 and c -7a 4, b 3 and c -7a 4, b 3 and c -7a 1, b -15 and c 36a 1, b -15 and c 36a 1, b -15 and c 36

Additional Support CardsGreen SetGreen SetGreen Seta 4, b 8 and c -96a 4, b 8 and c -96a 4, b 8 and c -96a 1, b 2 and c -5a 1, b 2 and c -5a 1, b 2 and c -5a 2, b 5 and c 4a 2, b 5 and c 4a 2, b 5 and c 4a 3, b -16 and c -12a 3, b -16 and c -12a 3, b -16 and c -12a 7, b -37 and c 10a 7, b -37 and c 10a 7, b -37 and c 10a 4, b 20 and c 25a 4, b 20 and c 25a 4, b 20 and c 25a 1, b -4 and c -7a 1, b -4 and c -7a 1, b -4 and c -7a 1, b -4 and c 4a 1, b -4 and c 4a 1, b -4 and c 4

Green Worksheet - Solve the following quadratics using the quadratic formula and match the question to the answer. Don’t forget to rearrange your equation first. Questions: Answers 1) - 16x 3x2 - 12 0 x 2 2) x2 – 4x –

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