In parts (a) and (b) rearrange linear inequalities to make $x$ the subject.

In the parts (c) and (d) correctly give the direction of the inequality sign after rearranging an inequality.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are given in the question.

Solving a pair of linear simultaneous equations with integer solutions.

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

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

Finding the product of a linear function of the form $mx+c$ and a cubic function of the form $ax^3+bx^2+cx+d$.

Finding the product of two linear functions of the form $mx+c$ and a quadratic function of the form $ax^2+bx+c$.

Finding the product of three linear functions of the form $mx+c$.

Finding the product of two linear functions of the form $mx+c$.

Multiplying a linear expression of the form $mx+c$ by a quadratic expression of the form $ax^2+bx+c$. 

Finding linear combinations of two quadtratic expressions of the form $ax^2+bx+c$.

Factorise a cubic expression into the product of three linear factors of the form $mx+c$, where one of the factors is given. 

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This question tests the student's ability to solve Linear Programming problems by hand using the Simplex Method.

This question tests the student's ability to solve Linear Programming problems by hand using the Simplex Method.

This question tests the student's ability to solve Linear Programming problems by applying Geometric method.

This question tests the student's ability to solve Linear Programming problems by applying Geometric method.

This question tests the student's ability to solve Linear Programming problems by applying Geometric method.

Is this polynomial a quadratic, linear or constant? Part of HELM Book 1.2

This question demonstrates how to construct a JSXGraph diagram using JessieCode.

The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.

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Factorise $\displaystyle{ax ^ 2 + bx + c}$ into linear factors. 

Given a generating matrix for a linear code, give a parity check matrix

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

Given a generating matrix for a binary linear code, construct a parity check matrix, list all the codewords, list all the words in a given coset, give coset leaders, calculate syndromes for each coset, correct a codeword with one error.

Es werden grundlegenden Ableitungsregeln geübt.

Die Reihenfolge der Summanden ist auch randomisiert.

Solve a Differential equation with 3 simple linear factors

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This question asks the student to calculate three points of a given linear function then plot these points in a JSXGraph item and find the x and y intercepts of the line.

Find the equation of a line given a point and a parallel line.