Overview
Qualification Grading Type
Graded
Graded
Understand what an algebraic expression is.
Using examples, explain the key components of algebraic expression.
Key components include: Variables, Constants, Coefficients, terms, factors, Mathematical operations (e.g. addition, subtraction, multiplication, division and exponents), in monomial, binomial, trinomial and polynomial expressions.
Be able to solve problems with algebraic expressions.
Simplify an algebraic expression.
Use distributive, associative and commutative algebraic properties and rules (combine like terms, factor out common terms, simplify fractions, simplify exponents) to reduce the expression to a more manageable and understandable form.
Expand a bracketed expression.
Multiplying all the terms Inside a bracket with that outside a bracket or a set of other brackets, double and triple brackets, with other terms, including indices.
Re-arrange an algebraic expression.
Change the subject of a formula, inequalities.
Solve a problem involving an algebraic fraction.
Simplification, adding, subtracting, multiplying and dividing algebraic fractions, solving quadratic using factorisation.
Be able to solve problems involving equations and inequalities.
Solve an algebraic equation.
Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.
Solve an inequality.
Solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions. Express solutions through correct use of ‘and’ and ‘or’, or through set notation.
Solve problems involving polynomial equations.
Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem.
Solve problems involving roots of a polynomial.
Including roots.