A 10 question test on Algebraic equations, comprising: 5 questions on procedural calculations; 3 questions on reasoning and communicating mathematically; and 2 problem solving questions. At the end of the test there is an extension activity which will allow more able students to stretch themselves. This resource is ideal for either formative or summative assessment and can be used in lesson time as a topic assessment, starter or plenary activity or for homework or revision.
Topics include:
Solve linear equations in one unknown algebraically.
Set up and solve linear equations in mathematical and non-mathematical contexts, including those with the unknown on both sides of the equation. (Examples may include manipulation of algebraic fractions.)
Interpret solutions in context.
Solve quadratic equations with coefficient of x2 equal to 1 by factorising.
Know the quadratic formula.
Rearrange and solve quadratic equations by factorising, completing the square or using the quadratic formula.
Set up and solve two linear simultaneous equations in two variables algebraically.
Set up and solve two simultaneous equations (one linear and one quadratic) in two variables algebraically.
Use a graph to find the approximate solution of a linear equation.
Use graphs to find approximate roots of quadratic equations and the approximate solution of two linear simultaneous equations.
Know that the coordinates of the points of intersection of a curve and a straight line are the solutions to the simultaneous equations for the line and curve.
Find approximate solutions to equations using systematic sign-change methods (for example, decimal search or interval bisection) when there is no simple analytical method of solving them.
Specific methods will not be requested in the assessment.
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a different style of question to assess conceptual understanding, very handy for assessment or revision
excellent.
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