3) c1 equations and inequalities questions
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C1 Equations and Inequalities Questions
June 20062. Find the set of values of x for which
x2 – 7x – 18 > 0. (4)
Jan 20074. Solve the simultaneous equations
y = x – 2,
y2 + x2 = 10. (7)
June 20076. (a) By eliminating y from the equations
show that .
(2)
(b) Hence, or otherwise, solve the simultaneous equations
giving your answers in the form a ± b3, where a and b are integers.(5)
June 20077. The equation x2 + kx + (k + 3) = 0, where k is a constant, has different real roots.
(a) Show that .(2)
(b) Find the set of possible values of k.(4)
June 2009
4. Find the set of values of x for which
(a) 4x – 3 > 7 – x(2)
(b) 2x2 – 5x – 12 < 0 (4)
(c) both 4x – 3 > 7 – x and 2x2 – 5x – 12 < 0(1)
Jan 2010
Jan 2010
Jan 2011
June 2011
C1 - Equations and Inequalities Questions ANSWERS (61 marks)
June 2006
Jan 2007
June 2007
June 2009
Jan 2010
Jan 2011
June 2011
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