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Recognise a quadratic and connect its roots to where the graph meets the $x$-axis
Complete the square for $x^{2} + bx + c$ and for $ax^{2} + bx + c$
Calculate the discriminant $b^{2} - 4ac$ with correct signs
Solve two linear simultaneous equations by elimination or substitution
Solve linear inequalities, flipping the sign when multiplying or dividing by a negative
Draw boundary lines and curves for inequalities
Work through each topic to complete the section.