Basic solving of linear equations

Solving linear equations

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Shows how to define variables to stop degenerate examples.

Rearranging equations to change the subject

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

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Identify parts of a statistical formula from a linear regression model

Identify the parts of a statistical formula

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Identify parts of the equation for a $t$-score.

Identify parts of the equation for a $z$-score.

Students are given a graph of a cubic, and are asked to find the equation for it.

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

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Students enter equation and turning point

Students enter equation and turning point