217 results in Content created by Newcastle University - search across all projects.
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Question by
Newcastle University Mathematics and Statistics
Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.
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Question by
Newcastle University Mathematics and Statistics
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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Question by
Newcastle University Mathematics and Statistics
Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$.
Make sure that your choice is a solution by substituting back into the equation.
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Question by
Newcastle University Mathematics and Statistics
Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$
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Question by
Newcastle University Mathematics and Statistics
Solve $\displaystyle ax + b = cx + d$ for $x$.
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Question by
Newcastle University Mathematics and Statistics
Solve for $x$ and $y$: \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\ a_2x+b_2y&=&c_2 \end{eqnarray} \]
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Question by
Newcastle University Mathematics and Statistics
What is the value of the expression given a choice of n?