Solve the equation \(|3x + 2| = 8\).
Cambridge IGCSE · Mathematics - Additional (0606)
Equations, inequalities and graphs: Practice Questions
5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Equations, inequalities and graphs.
Find the set of values of \(x\) for which \((x + 2)(x - 1)(x - 3) > 0\).
In the diagram, a sketch of the function \(f(x) = (x + 2)(x - 1)(x - 3)\) is shown. Use the sketch to determine the set of values of \(x\) for which \(f(x) > 0\).
Solve the equation \(4|x - 1| = 12\).
Solve the equation \(x - 5\sqrt{x} + 6 = 0\) by using a suitable substitution.
Solve the equation:
\(|3x + 2| = 11\)
Write your answer out first, then check it against the worked solution.
Solve the equation \(x^4 - 13x^2 + 36 = 0\) by using an appropriate substitution.
Write your answer out first, then check it against the worked solution.
The graph of \(y = |(x-2)(x-4)(x+3)|\) is drawn. State the coordinates of all the points where the graph intersects the x-axis and the y-axis.
Write your answer out first, then check it against the worked solution.
Solve the equation \(|2x - 3| = 5\).
Write your answer out first, then check it against the worked solution.
Solve the equation \(|x^2 - 6x + 5| = 4\).
Write your answer out first, then check it against the worked solution.
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