Quadratic Equations

Description

Diagnostic Maths Test Quiz on Quadratic Equations, created by Jackie Grant on 02/02/2017.
Jackie Grant
Quiz by Jackie Grant, updated more than 1 year ago
Jackie Grant
Created by Jackie Grant almost 8 years ago
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Resource summary

Question 1

Question
\( \rm{Solve} \) \[y=x^2 - 5x - 6 \] \(\rm{for \ x}, \ when \ y \ = \ 0 \)
Answer
  • \(x = -1, 6 \)
  • \(x = 1, -6 \)
  • \(x = -3, -2 \)
  • \(x = 2, 3 \)

Question 2

Question
\(\rm{ Factorise} \) \[2x^2 - 2x - 12 \]
Answer
  • \( (2x+4)(x-3) \)
  • \( (2x+3)(x-4) \)
  • \( (2x+4)(2x-3) \)
  • \( (2x-4)(x+3) \)
  • \( (x+2)(x-6) \)

Question 3

Question
\( \rm{ Using \ the \ quadratic \ formula, \ calculate \ the \ roots \ of:} \) \[0=3x^2 + 7x -1 \]
Answer
  • \( x= -2.47, \ 0.135\)
  • \(x=-2.18, \ -0.15\)
  • \( x=-0.4, \ 14.8 \)
  • \( x = 0, \ 14 \)

Question 4

Question
\( \rm{Find \ the \ points \ of \ intersection \ of \ the \ lines:}\) \[y=2x-1\] \(\rm{and}\) \[y=x^2+2x-10 \]
Answer
  • \( (-3,-7) \rm{and} (3,5) \)
  • \( (-3,5) \rm{and} (3,7) \)
  • \( (-1,-3) \rm{and} (1,1) \)
  • \(\rm{They \ don't \ intersect} \)

Question 5

Question
\( \rm{A \ ball \ is \ kicked \ on \ a \ low \ gravity \ asteroid, \ where \ g=2ms^{-2}. \ It \ has \ an \ initial \ vertical \ velocity \ of \ v_0=4ms^{-1}} \) \( \rm{and \ reaches \ a \ peak \ height \ of \ 4m. \ How \ much \ time \ passes \ to \ reach \ this \ height?} \)
Answer
  • \( \rm{2 \ s} \)
  • \( \rm{-2 \ s} \)
  • \( \rm{16 \ s} \)
  • \( \rm{1} \ s \)
  • \( \rm{It \ never \ reaches \ that \ height.} \)
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