Solve a Differential equation with 3 simple linear factors

Solve equation involving exponential function

Solve equation involving exponential function.

Solve equation involving exponential function.

Solve equation involving logarithmic function.

Solve equation involving logarithmic function.

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Set up and solve an equation = 1, to ensure a function is a CRV

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

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

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A function $f(x) = cln(ax^2+bx) -x$ is sketched and tangent is also drawn. The equation of the tangent line is asked for and $x$-coordinate for horizontal tangent is asked for. Calculator.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

Students are shown 4 exponential equations, and 4 graphs and asked to match them.

Students are asked to find either the initial production cost, or a gradient, or the break even point from a graph.
They are then asked to determine the profit or loss from the graph for the production of a particular number of units. This number is randomised.

Students are shown a line graph and asked to write the line equation.

The line is drawn in geogebra. m and b are randomised. 

The line equation is given as a fill-in-the-gaps, y = <gap>x + <gap>

Students are shown a graph of the value of a machine over time. The line equation is randomised.

They are asked to evaluate value at a given time, and the time at which a given value is reached. They are asked when the machine has no value, and the range of times over which the model is valid. They are also asked to explain the physical meaning of the gradient.

Students are given the equations of two lines in the form y=mx+b and asked if they are parallel.

The line equations are randomised.

The answer is yes or no. There is a 1 in 6 chance of the lines being parallel.

Students are given a parabola equation and 4 points. They need to determine which point lies on the parabola.

Students are given an exponential equation and asked to identify the y-intercept from a list of choices.

The constants in the exponential equation have been randomised.

Students are shown an exponential graph and asked to identify the equation from a selection of 4.

Students are shown an exponential graph and asked to identify its equation from 4 choices.

The graph is randomised.

Students are given a hyperbolic graph and asked to select the correct equation from 4 choices.

Student is shown a graph with a parabola and asked to identify the correct equation. Multiple choice question.

Students are shown a hyperbola and asked to identify its equation from 4 choices.

Students are given 4 parabola equations and their respective graphs and asked to match them.

Students are given equations for a line, a parabola, a hyperbola and an exponential, and their respective graphs and are asked to match them.

Students are given 4 equations for hyperbolas and 4 graphs and asked to match them.