Jackie Grant
Quiz by , created more than 1 year ago

Diagnostic Maths Test Quiz on Quadratic Equations, created by Jackie Grant on 02/02/2017.

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Jackie Grant
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Quadratic Equations

Question 1 of 5

1

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

Select one of the following:

  • \(x = -1, 6 \)

  • \(x = 1, -6 \)

  • \(x = -3, -2 \)

  • \(x = 2, 3 \)

Explanation

Question 2 of 5

1

\(\rm{ Factorise} \)
\[2x^2 - 2x - 12 \]

Select one of the following:

  • \( (2x+4)(x-3) \)

  • \( (2x+3)(x-4) \)

  • \( (2x+4)(2x-3) \)

  • \( (2x-4)(x+3) \)

  • \( (x+2)(x-6) \)

Explanation

Question 3 of 5

1

\( \rm{ Using \ the \ quadratic \ formula, \ calculate \ the \ roots \ of:} \)

\[0=3x^2 + 7x -1 \]

Select one of the following:

  • \( x= -2.47, \ 0.135\)

  • \(x=-2.18, \ -0.15\)

  • \( x=-0.4, \ 14.8 \)

  • \( x = 0, \ 14 \)

Explanation

Question 4 of 5

1

\( \rm{Find \ the \ points \ of \ intersection \ of \ the \ lines:}\)
\[y=2x-1\]
\(\rm{and}\)
\[y=x^2+2x-10 \]

Select one of the following:

  • \( (-3,-7) \rm{and} (3,5) \)

  • \( (-3,5) \rm{and} (3,7) \)

  • \( (-1,-3) \rm{and} (1,1) \)

  • \(\rm{They \ don't \ intersect} \)

Explanation

Question 5 of 5

1

\( \rm{A \ ball \ is \ kicked \ on \ a \ low \ gravity \ asteroid, \ where \ g=2ms^{-2}. \ It \ has \ an \ initial \ vertical \ velocity \ of \ v_0=4ms^{-1}} \)
\( \rm{and \ reaches \ a \ peak \ height \ of \ 4m. \ How \ much \ time \ passes \ to \ reach \ this \ height?} \)

Select one of the following:

  • \( \rm{2 \ s} \)

  • \( \rm{-2 \ s} \)

  • \( \rm{16 \ s} \)

  • \( \rm{1} \ s \)

  • \( \rm{It \ never \ reaches \ that \ height.} \)

Explanation