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Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Substitute values into an algebraic expression and calculate the result.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.

Expand two brackets involving powers of $x$.

Expanding two linear brackets multiplied together.

Factorise an expression of 2 or 3 terms where the gcd is a letter times a number. Part of HELM Book 1.3.4

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

Filling in the blanks from the answer to a simplified expression involving indices.