Quadratic Equations

1. 1\( \rm{Solve} \)
   \[y=x^2 - 5x - 6 \]
   \(\rm{for \ x}, \ when \ y \ = \ 0 \)

   1. A\(x = -1, 6 \)
   2. B\(x = 1, -6 \)
   3. C\(x = -3, -2 \)
   4. D\(x = 2, 3 \)
2. 2\(\rm{ Factorise} \)
   \[2x^2 - 2x - 12 \]

   1. A\( (2x+4)(x-3) \)
   2. B\( (2x+3)(x-4) \)
   3. C\( (2x+4)(2x-3) \)
   4. D\( (2x-4)(x+3) \)
   5. E\( (x+2)(x-6) \)
3. 3\( \rm{ Using \ the \ quadratic \ formula, \ calculate \ the \ roots \ of:} \)
   
   \[0=3x^2 + 7x -1 \]

   1. A\( x= -2.47, \ 0.135\)
   2. B\(x=-2.18, \ -0.15\)
   3. C\( x=-0.4, \ 14.8 \)
   4. D\( x = 0, \ 14 \)
4. 4\( \rm{Find \ the \ points \ of \ intersection \ of \ the \ lines:}\)
   \[y=2x-1\]
   \(\rm{and}\)
   \[y=x^2+2x-10 \]

   1. A\( (-3,-7) \rm{and} (3,5) \)
   2. B\( (-3,5) \rm{and} (3,7) \)
   3. C\( (-1,-3) \rm{and} (1,1) \)
   4. D\(\rm{They \ don't \ intersect} \)
5. 5\( \rm{A \ ball \ is \ kicked \ on \ a \ low \ gravity \ asteroid, \ where \ g=2ms^{-2}. \ It \ has \ an \ initial \ vertical \ velocity \ of \ v_0=4ms^{-1}} \)
   \( \rm{and \ reaches \ a \ peak \ height \ of \ 4m. \ How \ much \ time \ passes \ to \ reach \ this \ height?} \)

   1. A\( \rm{2 \ s} \)
   2. B\( \rm{-2 \ s} \)
   3. C\( \rm{16 \ s} \)
   4. D\( \rm{1} \ s \)
   5. E\( \rm{It \ never \ reaches \ that \ height.} \)

Descripción

Diagnostic Maths Test Test sobre Quadratic Equations, creado por Jackie Grant el 02/02/2017.

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Jackie Grant

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Creado el 2 feb 2017 · actualizado el 17 may 2017

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