Identifying the gradient from a straight-line graph equation y=mx+c

Identifying the intercept from a y=mx+c equation

Find the solution of a first order separable differential equation of the form $axyy'=b+y^2$.

Find the equation of a straight line which has a given slope or gradient $m$ and passes through the given point $(a,b)$.

There is a video in Show steps which goes through a similar example.

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Using trig identities to find solutions to equations

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

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Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.

A caravan pulled along by a car. Question uses SUVAT equations and $F=ma$.

Students will locate and write the ordered pair for the vertex of a quadratic function from a graph.

Students will analyze the graph of a quadratic function, and then write the equation in either Standard Form or Vertex Form.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

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A ball is thrown vertically upwards from a position above ground level. Find its greatest height, and the total time its in the air.

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A variety of trigonometric equations which can be solved using inverse operations.

Given one point and the gradient determine the equation of the line.

Given the graph of the line determine the equation of the line.

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Students will locate and write the equation for the axis of symmetry of a quardatic function from graph.

Cofactors Determinant and inverse of a 3x3 matrix.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Cofactors Determinant and inverse of a 3x3 matrix.

Given two 3 dim vectors, find vector equation of line through one vector in the direction of another. Find two such lines and their point of intersection.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.